Displacement convexity of generalized relative entropies. II
نویسندگان
چکیده
منابع مشابه
Displacement convexity of generalized relative entropies. II
We introduce a class of generalized relative entropies (inspired by the Bregman divergence in information theory) on the Wasserstein space over a weighted Riemannian or Finsler manifold. We prove that the convexity of all the entropies in this class is equivalent to the combination of the non-negative weighted Ricci curvature and the convexity of another weight function used in the definition o...
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ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2013
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2013.v21.n4.a1