arxivcs.LGmath.PR2026-06-29
Data-Driven Energy-Based Learning via Gibbs Measures on Hierarchical Structures
L. U. Abdullaev, F. Herrera, U. A. Rozikov, M. V. Velasco
We introduce a data-driven probabilistic framework for learning systems based on Gibbs measures on hierarchical structures. Unlike standard empirical risk minimization, where a dataset is used to identify a single optimal parameter, our approach transforms the empirical loss func…