LoUQAL: Low-fidelity informed Uncertainty Quantification for Active Learning in the chemical configuration space

Abstract: Uncertainty quantification is an important scheme in active learning techniques, including applications in predicting quantum chemical properties. In quantum chemical calculations, there exists the notion of a fidelity, a less accurate computation is accessible at a cheaper computational cost. This work proposes a novel low-fidelity informed uncertainty quantification for active learning with applications in predicting diverse quantum chemical properties such as excitation energies and \textit{ab initio} potential energy surfaces. Computational experiments are carried out in order to assess the proposed method with results demonstrating that models trained with the novel method outperform alternatives in terms of empirical error and number of iterations required. The effect of the choice of fidelity is also studied to perform a thorough benchmark.