Ricci curvature for parametric statistics via optimal transport
نویسندگان
چکیده
منابع مشابه
Ricci Curvature for Metric-measure Spaces via Optimal Transport
We define a notion of a measured length space X having nonnegative N -Ricci curvature, for N ∈ [1,∞), or having ∞-Ricci curvature bounded below by K, for K ∈ R. The definitions are in terms of the displacement convexity of certain functions on the associated Wasserstein metric space P2(X) of probability measures. We show that these properties are preserved under measured Gromov-Hausdorff limits...
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ژورنال
عنوان ژورنال: Information Geometry
سال: 2020
ISSN: 2511-2481,2511-249X
DOI: 10.1007/s41884-020-00026-2