Weyl Geometric Approach to the Gradient-Flow Equations in Information Geometry

IF 0.5 Q4 PHYSICS, MATHEMATICAL

Journal of Geometry and Symmetry in Physics Pub Date : 2022-12-30 DOI:10.7546/jgsp-66-2023-59-70

T. Wada

引用次数: 1

Abstract

The gradient-flow equations with respect to the potential functions in information geometry are reconsidered from the perspective of the Weyl integrable geometry. The pre-geodesic equations associated with the gradient-flow equations are regarded as the general pre-geodesic equations in the Weyl integrable geometry.

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信息几何中梯度流方程的Weyl几何方法

从Weyl可积几何的角度重新考虑了信息几何中关于势函数的梯度流方程。在Weyl可积几何中，与梯度流方程相关的前测地线方程被视为一般的前测地方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Geometry and Symmetry in Physics PHYSICS, MATHEMATICAL-

CiteScore

1.50

自引率

25.00%

发文量

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