Coarse Ricci curvature and the manifold learning problem
نویسندگان
چکیده
Abstract. We consider the framework used by Bakry and Emery in their work on logarithmic Sobolev inequalities to define a notion of coarse Ricci curvature on smooth metric measure spaces alternative to the notion proposed by Y. Ollivier. We discuss applications of our construction to the manifold learning problem, specifically to the statistical problem of estimating the Ricci curvature of a submanifold of
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ورودعنوان ژورنال:
- CoRR
دوره abs/1410.3351 شماره
صفحات -
تاریخ انتشار 2014