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

Published 9 Sep 2026 in math.GM | (2609.10628v1)

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

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Full Fisher–Rao beta-manifold sectional-curvature conjecture

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