Ricci curvature for parametric statistics via optimal transport

DOI10.1007/s41884-020-00026-2zbMath1450.62010arXiv1807.07095OpenAlexW3004377896WikidataQ125748146 ScholiaQ125748146MaRDI QIDQ2006199

Wuchen Li, Guido Montúfar

Publication date: 8 October 2020

Published in: Information Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.07095

zbMATH Keywords

Ricci curvatureinformation projectionWasserstein statistical manifoldFokker-Planck equation on parameter space

Mathematics Subject Classification ID

Statistics on manifolds (62R30) Measures of information, entropy (94A17) Methods of local Riemannian geometry (53B21) Fokker-Planck equations (35Q84) Differential geometric aspects of statistical manifolds and information geometry (53B12) Information geometry (statistical aspects) (62B11)

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