Coarse Ricci Curvature with Applications to Manifold Learning
نویسندگان
چکیده
Consider a sample of n points taken i.i.d from a submanifold of Euclidean space. This defines a metric measure space. We show that there is an explicit set of scales tn → 0 such that a coarse Ricci curvature at scale tn on this metric measure space converges almost surely to the coarse Ricci curvature of the underlying manifold.
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