Manifold Estimation and Singular Deconvolution Under Hausdorff Loss

Details Manifold Estimation and Singular Deconvolution Under Hausdorff Loss Manifold Estimation and Singular Deconvolution Under Hausdorff Loss

2011-09-21

arxiv.org/abs/1109.4540v1

Mathematics

Statistics Theory

Scientific paper

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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