Ricci curvature and the manifold learning problem
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DOI: 10.1016/j.aim.2018.11.001
Abstract: Consider a sample of $n$ points taken i.i.d from a submanifold $\Sigma$ of Euclidean space. We show that there is a way to estimate the Ricci curvature of $\Sigma$ with respect to the induced metric… read more here.
Keywords: ricci curvature; learning problem; curvature manifold; manifold learning ... See more keywords