Reconstructing functions from random samples

From a sufficiently large point sample lying on a compact Riemannian submanifold of Euclidean space, one can construct a simplicial complex which is homotopy-equivalent to that manifold with high confidence. We describe a corresponding result for a Lipschitz-continuous function between two such mani...

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Bibliographic Details
Main Authors: Ferry, S, Mischaikow, K, Nanda, V
Format: Journal article
Published: American Institute of Mathematical Sciences 2014

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