arxivcs.LGmath.NA2026-06-28
Structured Proper Loss Geometries for Multiclass Classification: Theory and Controlled Empirical Evaluation
Strictly proper scoring rules identify the true conditional class distribution at population level, but their curvature can alter optimization and finite-sample behavior. We study three multiclass objectives: a class-aware quadratic Bregman score (CAPM), a strongly convex generat…