Manifold estimation and singular deconvolution under Hausdorff loss

Christopher R. Genovese; Isabella Verdinelli; Larry Wasserman; Marco Perone-Pacifico

arxiv: 1109.4540 · v2 · pith:J6D6QONLnew · submitted 2011-09-21 · 🧮 math.ST · cs.LG· stat.ML· stat.TH

Manifold estimation and singular deconvolution under Hausdorff loss

Christopher R. Genovese , Marco Perone-Pacifico , Isabella Verdinelli , Larry Wasserman This is my paper

classification 🧮 math.ST cs.LGstat.MLstat.TH

keywords manifoldestimationhausdorffsingularunderboundscloseconnections

0 comments

read the original abstract

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.

This paper has not been read by Pith yet.

Manifold estimation and singular deconvolution under Hausdorff loss

discussion (0)