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信息几何中梯度流方程的哈密顿方法

IF 1.6 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER
The European Physical Journal B Pub Date : 2024-07-22 DOI:10.1140/epjb/s10051-024-00747-8
Tatsuaki Wada, Antonio M. Scarfone
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引用次数: 0

摘要

摘要 我们从点粒子的角度研究了信息几何中的梯度流方程。根据空粒子（或类光粒子）在弯曲空间中的运动，我们重新推导出了描述信息几何中梯度流的哈密顿方程。
本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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

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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来源期刊
The European Physical Journal B
The European Physical Journal B 物理-物理：凝聚态物理
CiteScore
2.80
自引率
6.20%
发文量
184
审稿时长
5.1 months
期刊介绍： Solid State and Materials; Mesoscopic and Nanoscale Systems; Computational Methods; Statistical and Nonlinear Physics
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