Learning concept boundaries from observational data

Learn the convex region boundaries that define abstract concepts within conceptual spaces directly from observational data, replacing heuristic boundary specification with data-driven estimation methods that support temporal, trajectory-based recognition.

Background

In the current implementation, concept regions for chess strategies are defined heuristically using expert knowledge. This approach provides initial feasibility but lacks systematic, scalable boundary estimation.

The authors explicitly state that learning concept boundaries from observational data remains an open research question, crucial for refining region shapes and centroids in multi-domain conceptual spaces and improving recognition reliability.

References

The problem of automatically discovering quality dimensions for abstract concepts, learning concept boundaries from observational data, and validating geometric representations against human expert knowledge represents significant open research questions for both artificial intelligence and conceptual spaces theory.

Abstract Concept Modelling in Conceptual Spaces: A Study on Chess Strategies  (2601.21771 - Banaee et al., 29 Jan 2026) in Discussion — Subsection “Challenges and Implications”