α-参数转移的变形概率单形叶理

The 41st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering Pub Date : 2023-03-28 DOI:10.3390/psf2022005053

Keiko Uohashi

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引用次数: 1

摘要

本文从信息几何的角度研究了概率单纯形的二元结构。我们用变形概率单形研究了α -参数跃迁的叶理，而不是固定α -参数的叶理。在不同的叶片上定义不同的α参数时，我们还描述了叶面上扩展散度的性质。

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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A Foliation by Deformed Probability Simplexes for Transition of α-Parameters

: This study considers dualistic structures of the probability simplex from the information geometry perspective. We investigate a foliation by deformed probability simplexes for the transition of α -parameters, not for a ﬁxed α -parameter. We also describe the properties of extended divergences on the foliation when different α -parameters are deﬁned on each of the various leaves.

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The 41st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering

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