A Hamiltonian approach to the gradient-flow equations in information geometry

2024/06/17 by Tatsuaki Wada, Wada, Tatsuaki, Antoni M. Scarfone +1
Computer Science · #FOS: Physical sciences #Mathematical Physics (math-ph) #Rough Sets and Fuzzy Logic #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2406.11224

openalex publication_date 2024/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We have studied the gradient-flow equations in information geometry from a point-particle perspective. Based on the motion of a null (or light-like) particle in a curved space, we have rederived the Hamiltonians which describe the gradient-flows in information geometry.

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