MANIFOLD ESTIMATION AND SINGULAR DECONVOLUTION UNDER HAUSDORFF LOSS

Authors
Christopher R. Genovese Marco Perone-Pacifico Isabella Verdinelli Larry Wasserman
Citation
Christopher R. Genovese et al., MANIFOLD ESTIMATION AND SINGULAR DECONVOLUTION UNDER HAUSDORFF LOSS, Annals of statistics , 40(2), 2012, pp. 941-963
Journal title
Annals of statistics → ACNP
ISSN journal
00905364
Volume
40
Issue
2
Year of publication
2012
Pages
941 - 963
Database
ACNP
SICI code
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.