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Geodesic Entropic Graphs for Dimension and Entropy Estimation in Manifold Learning

Geodesic Entropic Graphs for Dimension and Entropy Estimation in Manifold Learning

In the manifold learning problem, one seeks to discover a smooth low dimensional surface, i.e., a manifold embedded in a higher dimensional linear vector space, based on a set of measured sample points on the surface. In this paper, we consider the closely related problem of estimating the manifold's intrinsic …