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Behaviors of $\varphi$-Exponential Distributions in Wasserstein Geometry and an Evolution Equation

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Publication:2855139
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DOI10.1137/110849304zbMath1281.60017arXiv1109.6776OpenAlexW2095768977MaRDI QIDQ2855139

Asuka Takatsu

Publication date: 24 October 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6776


zbMATH Keywords

evolution equationWasserstein geometry\(q\)-Gaussian measure\(\varphi\)-exponential distribution


Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Probability distributions: general theory (60E05) Measures of information, entropy (94A17)


Related Items (3)

Deformed algebras and generalizations of independence on deformed exponential families ⋮ When optimal transport meets information geometry ⋮ A GPM-based algorithm for solving regularized Wasserstein barycenter problems in some spaces of probability measures




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