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Substitutional Alloying Using Crystal Graph Neural Networks

Published 19 Jun 2023 in cond-mat.mtrl-sci, cond-mat.dis-nn, cond-mat.stat-mech, cs.LG, math-ph, and math.MP | (2306.10766v1)

Abstract: Materials discovery, especially for applications that require extreme operating conditions, requires extensive testing that naturally limits the ability to inquire the wealth of possible compositions. Machine Learning (ML) has nowadays a well established role in facilitating this effort in systematic ways. The increasing amount of available accurate DFT data represents a solid basis upon which new ML models can be trained and tested. While conventional models rely on static descriptors, generally suitable for a limited class of systems, the flexibility of Graph Neural Networks (GNNs) allows for direct learning representations on graphs, such as the ones formed by crystals. We utilize crystal graph neural networks (CGNN) to predict crystal properties with DFT level accuracy, through graphs with encoding of the atomic (node/vertex), bond (edge), and global state attributes. In this work, we aim at testing the ability of the CGNN MegNet framework in predicting a number of properties of systems previously unseen from the model, obtained by adding a substitutional defect in bulk crystals that are included in the training set. We perform DFT validation to assess the accuracy in the prediction of formation energies and structural features (such as elastic moduli). Using CGNNs, one may identify promising paths in alloy discovery.

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References (69)
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Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Behler J (2011) Atom-centered symmetry functions for constructing high-dimensional neural network potentials. J Chem Phys 134(074106) Chen et al (2019a) Chen C, et al (2019a) Graph net- works as a universal machine learning framework for molecules and crystals. Chem Mater 31(9):3564 Chen et al (2019b) Chen C, et al (2019b) Graph networks as a universal machine learning framework for molecules and crystals. Chem Mat 31:3564–3572 Chen et al (2022) Chen C, et al (2022) The megnet model on github. URL https://github.com/materialsvirtuallab/megnet/blob/master/megnet/models/megnet.py Coley et al (2017) Coley CW, et al (2017) Convolutional embedding of attributed molecular graphs for physical property prediction. J Chem Info Model 57(1757-1772) Curtarolo (2012) Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Chen C, et al (2019a) Graph net- works as a universal machine learning framework for molecules and crystals. Chem Mater 31(9):3564 Chen et al (2019b) Chen C, et al (2019b) Graph networks as a universal machine learning framework for molecules and crystals. Chem Mat 31:3564–3572 Chen et al (2022) Chen C, et al (2022) The megnet model on github. URL https://github.com/materialsvirtuallab/megnet/blob/master/megnet/models/megnet.py Coley et al (2017) Coley CW, et al (2017) Convolutional embedding of attributed molecular graphs for physical property prediction. J Chem Info Model 57(1757-1772) Curtarolo (2012) Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Chen C, et al (2019b) Graph networks as a universal machine learning framework for molecules and crystals. Chem Mat 31:3564–3572 Chen et al (2022) Chen C, et al (2022) The megnet model on github. URL https://github.com/materialsvirtuallab/megnet/blob/master/megnet/models/megnet.py Coley et al (2017) Coley CW, et al (2017) Convolutional embedding of attributed molecular graphs for physical property prediction. J Chem Info Model 57(1757-1772) Curtarolo (2012) Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Chen C, et al (2022) The megnet model on github. URL https://github.com/materialsvirtuallab/megnet/blob/master/megnet/models/megnet.py Coley et al (2017) Coley CW, et al (2017) Convolutional embedding of attributed molecular graphs for physical property prediction. J Chem Info Model 57(1757-1772) Curtarolo (2012) Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Coley CW, et al (2017) Convolutional embedding of attributed molecular graphs for physical property prediction. J Chem Info Model 57(1757-1772) Curtarolo (2012) Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. 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J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. 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JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. 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J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. 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J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Chen C, et al (2019b) Graph networks as a universal machine learning framework for molecules and crystals. Chem Mat 31:3564–3572 Chen et al (2022) Chen C, et al (2022) The megnet model on github. URL https://github.com/materialsvirtuallab/megnet/blob/master/megnet/models/megnet.py Coley et al (2017) Coley CW, et al (2017) Convolutional embedding of attributed molecular graphs for physical property prediction. J Chem Info Model 57(1757-1772) Curtarolo (2012) Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Chen C, et al (2022) The megnet model on github. URL https://github.com/materialsvirtuallab/megnet/blob/master/megnet/models/megnet.py Coley et al (2017) Coley CW, et al (2017) Convolutional embedding of attributed molecular graphs for physical property prediction. J Chem Info Model 57(1757-1772) Curtarolo (2012) Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Coley CW, et al (2017) Convolutional embedding of attributed molecular graphs for physical property prediction. J Chem Info Model 57(1757-1772) Curtarolo (2012) Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. 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Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. 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Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. 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IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Chen C, et al (2019b) Graph networks as a universal machine learning framework for molecules and crystals. Chem Mat 31:3564–3572 Chen et al (2022) Chen C, et al (2022) The megnet model on github. URL https://github.com/materialsvirtuallab/megnet/blob/master/megnet/models/megnet.py Coley et al (2017) Coley CW, et al (2017) Convolutional embedding of attributed molecular graphs for physical property prediction. J Chem Info Model 57(1757-1772) Curtarolo (2012) Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Chen C, et al (2022) The megnet model on github. URL https://github.com/materialsvirtuallab/megnet/blob/master/megnet/models/megnet.py Coley et al (2017) Coley CW, et al (2017) Convolutional embedding of attributed molecular graphs for physical property prediction. J Chem Info Model 57(1757-1772) Curtarolo (2012) Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Coley CW, et al (2017) Convolutional embedding of attributed molecular graphs for physical property prediction. J Chem Info Model 57(1757-1772) Curtarolo (2012) Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. 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J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Chen C, et al (2022) The megnet model on github. URL https://github.com/materialsvirtuallab/megnet/blob/master/megnet/models/megnet.py Coley et al (2017) Coley CW, et al (2017) Convolutional embedding of attributed molecular graphs for physical property prediction. J Chem Info Model 57(1757-1772) Curtarolo (2012) Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Coley CW, et al (2017) Convolutional embedding of attributed molecular graphs for physical property prediction. J Chem Info Model 57(1757-1772) Curtarolo (2012) Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. 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Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. 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AI Open 1:57–81 Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81
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Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Coley CW, et al (2017) Convolutional embedding of attributed molecular graphs for physical property prediction. J Chem Info Model 57(1757-1772) Curtarolo (2012) Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. 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Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Curtarolo S (2012) A distributed materials properties repository from high-throughput ab initio calculations. Comput Mater Sci 58(227) Curtarolo et al (2013) Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Curtarolo S, et al (2013) The high-throughput highway to computational materials design. Nat Mater 12:191 Dal Corso (2023) Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dal Corso A (2023) https://dalcorso.github.io/thermo_pw/ De et al (2016) De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. 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Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. 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IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 De S, et al (2016) Comparing molecules and solids across structural and alchemical space. Phys Chem Chem Phys 18:13,754–13,769 Deml et al (2014) Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. 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J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). 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AI Open 1:57–81 Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81
  11. Deml A, et al (2014) Oxide enthalpy of formation and band gap energy as accurate descriptors of oxygen vacancy formation energetics. Energy Environ Sci 7(1996) Deml et al (2015) Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Deml A, et al (2015) Intrinsic material properties dictating oxygen vacancy formation energetics in metal oxides. J Phys Chem Lett 6(1948) Dunn et al (2020) Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. 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Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Dunn A, et al (2020) Benchmarking materials property prediction methods: the matbench test set and automatminer reference algorithm. Npj Comput Mater 6:138 Duvenaud et al (2015) Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. 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IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. 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Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Duvenaud DK, Maclaurin D, Iparraguirre J, et al (2015) Convolutional networks on graphs for learning molecular fingerprints. Advances in neural information processing systems 28 Fung et al (2021) Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Fung V, et al (2021) Benchmarking graph neural networks for materials chemistry. Npj Comput Mat 7(84) Giannozzi et al (2009) Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. 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Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. 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J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. 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JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2009) JPhys: CondensMatter 21(39550) Giannozzi et al (2017) Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. 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PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81
  17. Giannozzi P, et al (2017) JPhys: CondensMatter 29(465901) Giannozzi et al (2020) Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Giannozzi P, et al (2020) J Chem Phys 152(154105) Gong and Yan (2021) Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gong W, Yan Q (2021) Graph-based deep learning frameworks for molecules and solid-state materials. Computational Materials Science 195:110,332 Gu et al (2020) Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. 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Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. 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Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. 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Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. 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J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. 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IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81
  20. Gu GH, et al (2020) Practical deep-learning representation for fast heterogeneous catalyst screening. J Phys Chem Lett 11:3185–3191 Guan (2019) Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Guan Z (2019) Compositional engineering of multinary cu–in–zn-based semiconductor nanocrystals for efficient and solution-processed red-emitting quantum-dot light-emitting diodes. Org Electron 74(46) Hachmann et al (2011) Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. 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Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. 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Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. 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Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Hachmann J, et al (2011) The harvard clean energy project: Large-scale computational screening and design of organic photovoltaics on the world community grid. J Phys Chem Lett 2(2241) Isayev et al (2017) Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). 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Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Isayev O, et al (2017) Universal fragment descriptors for predicting properties of inorganic crystals. Nat Commun 8(15679) Jain et al (2013) Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jain A, et al (2013) The materials project: A materials genome approach to accelerating materials innovation. APL Mater 1(011002) Jorgensen et al (2018) Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. 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Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. 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Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Jorgensen J, et al (2018) Neural message passing with edge updates for predicting properties of molecules and materials. arXivorg e-Print archive p arXiv:1806.01261 Karamad et al (2020) Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. 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J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Karamad M, et al (2020) Orbital graph convolutional neural network for material property prediction. Phys Rev Mater 4:093,801 Kaxiras (2003) Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kaxiras E (2003) Atomic and Electronic Structure of Solids. Cambridge University Press Kearnes et al (2016) Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. 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Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. 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Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. 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Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. 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Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. 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J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. 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Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Kearnes S, et al (2016) Molecular graph convolutions: Moving beyond fingerprints. J Comput-Aided Mol Des 30(595–608) Klug et al (2017) Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. 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Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. 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Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. 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Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Klug M, et al (2017) Tailoring metal halide perovskites through metal substitution: influence on photovoltaic and material properties. Energy Environ Sci 10(236) L. Ward (2017) L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. 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J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. 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J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 L. Ward CW (2017) Atomistic calculations and materials informatics: A review. Current Opinion in Solid State and Materials Science 21(3) LeCun et al (2015) LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. 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J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. 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JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 LeCun Y, et al (2015) Deep learning. Nature 521:436 Liu et al (2019) Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. 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Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Liu Y, et al (2019) High-throughput experiments facilitate materials innovation: a review. Science China Technological Sciences 62:521–545 Louis et al (2020a) Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. 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Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. 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Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. 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IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. 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Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020a) Graph convolutional neural networks with global attention for improved materials property prediction. Phys Chem Chem Phys 22:18,141–18,148 Louis et al (2020b) Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Louis SY, et al (2020b) Graph convolutional neural networks with global attention for improved materials property prediction. PhysChemChemPhys 22:18,141 Mannodi-Kanakkithodi et al (2020) Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. 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J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. 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JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2020) Machine-learned impurity level prediction for semiconductors: the example of cd-based chalcogenides. NPJ Comput Mater 6(1) Mannodi-Kanakkithodi et al (2022) Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). 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Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Mannodi-Kanakkithodi A, et al (2022) Universal machine learning framework for defect predictions in zinc blende semiconductors. Patterns 3(100450) Methfessel and Paxton (1989) Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Methfessel M, Paxton AT (1989) Phys Rev B 40(3616) Michalski et al (2013) Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. 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Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. 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Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). 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Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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  38. Michalski RS, et al (2013) Machine learning an artificial intelligence approach. Springer Science and Business Media Ning et al (2017) Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ning CZ, et al (2017) Bandgap engineering in semiconductor alloy nanomaterials with widely tunable compositions. Nat Rev Mater 2(1) NOMAD (https://nomad-coe.eu) NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. 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Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. 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Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 NOMAD (https://nomad-coe.eu) Oba et al (2018) Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Oba F, et al (2018) Design and exploration of semiconductors from first principles: a review of recent advances. Appl Phys Express 11(060101) Ong et al (2013) Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. 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Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ong SP, et al (2013) Python materials genomics (pymatgen): A robus, open-source python library for materials analysis. Comput Mater Sci 68(314) Palizhati et al (2019) Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. 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Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, et al (2021) A comprehensive survey on graph neural networks. 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Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. 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J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Palizhati A, et al (2019) Toward predicting inter-metallics surface properties with high-throughput dft and convolutional neural networks. J Chem Inf Model 59:4742–4749 Park and Wolverton (2020a) Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. 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Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020a) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Park and Wolverton (2020b) Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. 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J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. 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Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. 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Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. 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Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Park CW, Wolverton C (2020b) Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery. Phys Rev Mater 4:063,801 Perdew et al (1996) Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Perdew JP, et al (1996) Phys Rev Lett 77(3865) Pietrucci and Andreoni (2011) Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Pietrucci F, Andreoni W (2011) Graph theory meets ab initio molecular dynamics: Atomic structures and transformations at the nanoscale. Phys Rev Lett 107(085504) Rajan (2005) Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. 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J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. 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J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. 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IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. 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JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rajan K (2005) Materials informatics. Materials Today 8(10):38–45 Ramakrishna et al (2019) Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramakrishna S, et al (2019) Material informatics. J Intell Manuf 30:2307–2326 Ramprasad et al (2017) Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. 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J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. 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Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. 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Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Ramprasad R, et al (2017) Machine learning in materials informatics: recent applications and prospects. Npj Comput Mater 3(54) Reiser et al (2022) Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. 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J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Reiser P, et al (2022) Graph neural networks for materials science and chemistry. Communications Materials 3:93 Rupp et al (2012) Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Rupp M, et al (2012) Fast and accurate modeling of molecular atomization energies with machine learning. Phys Rev Lett 108(058301) Saal et al (2013) Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. Advances in neural information processing systems 30 Seko et al (2015) Seko A, et al (2015) Prediction of low-thermal-conductivity compounds with first-principles anharmonic lattice-dynamics calculations and bayesian optimization. Phys Rev Lett 115:205,901 Sharma et al (2020) Sharma V, et al (2020) Machine learning substitutional defect formation energies in abo3 perovskites featured. Journal of Applied Physics 128(034902) Takahashi and Tanaka (2016) Takahashi K, Tanaka Y (2016) Materials informatics: a journey towards material design and synthesis. Dalton Trans 45:10,497–10,499 Varley et al (2017) Varley J, et al (2017) Descriptor-based approach for the prediction of cation vacancy formation energies and transition levels. J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Saal E, et al (2013) Materials design and discovery with high-throughput density functional theory: The open quantum materials database (oqmd). JOM 65(1501) Sadeghi et al (2013) Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. 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J Phys Chem Lett 8(5059) Wan et al (2021) Wan Z, et al (2021) Data-driven machine learning model for the prediction of oxygen vacancy formation energy of metal oxide materials. Phys Chem Chem Phys 23(15675) Wu et al (2018) Wu Z, Ramsundar B, Feinberg EN, et al (2018) Moleculenet: a benchmark for molecular machine learning. Chemical science 9(2):513–530 Wu et al (2021) Wu Z, et al (2021) A comprehensive survey on graph neural networks. IEEE Trans Neural Netw Learn Syst 32:4–24 Xie and Grossman (2018a) Xie T, Grossman JC (2018a) Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys Rev Lett 120:145,301 Xie and Grossman (2018b) Xie T, Grossman JC (2018b) Hierarchical visualization of materials space with graph convolutional neural networks. J Chem Phys 149:174,111 Xue et al (2016) Xue D, et al (2016) Accelerated search for materials with targeted properties by adaptive design. Nat Commun 7 7(11241) Ye et al (2018) Ye W, et al (2018) Deep neural networks for accurate predictions of crystal stability. Nat Commun 9(1-6) Zhai et al (2022) Zhai X, et al (2022) Predicting the formation of fractionally doped perovskite oxides by a function-confined machine learning method. Commun Mater 3(42) Zhou et al (2020) Zhou J, et al (2020) Graph neural networks: a review of methods and applications. AI Open 1:57–81 Sadeghi A, et al (2013) Metrics for measuring distances in configuration spaces. J Chem Phys 139(184118) Sampson et al (2017) Sampson M, et al (2017) Transition metal-substituted lead halide perovskite absorbers. J Mater Chem A 5(3578) Schütt et al (2017) Schütt K, Kindermans PJ, Sauceda Felix HE, et al (2017) Schnet: A continuous-filter convolutional neural network for modeling quantum interactions. 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