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arXiv · 2609.10628

The decrease in sectional curvature of the Fisher--Rao manifold of beta distributions

Feng Qi
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Abstract

In the paper, the author develops a general convexity lemma and applies it to demonstrate the monotonic decrease of a function involving polygamma functions, arising from the sectional curvature of the Fisher--Rao manifold of beta distributions.

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Feng Qi. 2026-09-09. The decrease in sectional curvature of the Fisher--Rao manifold of beta distributions. https://arxiv.org/abs/2609.10628

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