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Autori principali: Wada, Tatsuaki, Scarfone, Antonio M.
Natura: Preprint
Pubblicazione: 2024
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Accesso online:https://arxiv.org/abs/2406.11224
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author Wada, Tatsuaki
Scarfone, Antonio M.
author_facet Wada, Tatsuaki
Scarfone, Antonio M.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_11224
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Hamiltonian approach to the gradient-flow equations in information geometry
Wada, Tatsuaki
Scarfone, Antonio M.
Mathematical Physics
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.
title A Hamiltonian approach to the gradient-flow equations in information geometry
topic Mathematical Physics
url https://arxiv.org/abs/2406.11224