Manifold estimation and singular deconvolution under Hausdorff loss

09/21/2011

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We find lower and upper bounds for the risk of estimating a manifold in Hausdorff distance under several models. We also show that there are close connections between manifold estimation and the problem of deconvolving a singular measure.

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Manifold estimation and singular deconvolution under Hausdorff loss

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Manifold estimation and singular deconvolution under Hausdorff loss

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