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arXiv · 2406.11224

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

Tatsuaki Wada·Antonio M. Scarfone
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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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Tatsuaki Wada, Antonio M. Scarfone. 2024-07-17. A Hamiltonian approach to the gradient-flow equations in information geometry. https://doi.org/10.1140/epjb%2Fs10051-024-00747-8

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