A Hamiltonian approach to the gradient-flow equations in information geometry
Mathematical Physics
2025-08-04 v2 math.MP
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.
Cite
@article{arxiv.2406.11224,
title = {A Hamiltonian approach to the gradient-flow equations in information geometry},
author = {Tatsuaki Wada and Antonio M. Scarfone},
journal= {arXiv preprint arXiv:2406.11224},
year = {2025}
}
Comments
14 pages, 1 figure, accepted to EPJB