Estimating the Reach of a Manifold

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Estimating the Reach of a Manifold

12 May 2017

Frédéric Chazal

Bertrand Michel

Alessandro Rinaldo

Larry Wasserman LM-Orsay

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Papers citing "Estimating the Reach of a Manifold"

12 / 12 papers shown

Title
Non-Asymptotic Rates for Manifold, Tangent Space, and Curvature Estimation Eddie Aamari Clément Levrard 177 75 0 02 May 2017
Minimax Estimation of the Volume of a Set with Smooth Boundary E. Arias-Castro Beatriz Pateiro-López Alberto Rodríguez-Casal 44 9 0 04 May 2016
Stability and Minimax Optimality of Tangential Delaunay Complexes for Manifold Reconstruction Eddie Aamari Clément Levrard 78 49 0 09 Dec 2015
A fully data-driven method for estimating the shape of a point cloud Alberto Rodríguez-Casal P. Saavedra-Nieves 3DPC 61 26 0 29 Apr 2014
Testing the Manifold Hypothesis Charles Fefferman S. Mitter Hariharan Narayanan 153 534 0 01 Oct 2013
Tight Lower Bounds for Homology Inference Sivaraman Balakrishnan Alessandro Rinaldo Aarti Singh Larry A. Wasserman 84 6 0 29 Jul 2013
Spectral Clustering Based on Local PCA E. Arias-Castro Gilad Lerman Teng Zhang 78 100 0 09 Jan 2013
Minimax Rates for Homology Inference Sivaraman Balakrishnan Alessandro Rinaldo Don Sheehy Aarti Singh Larry A. Wasserman 75 39 0 23 Dec 2011
On statistical properties of sets fulfilling rolling-type conditions Antonio Cuevas R. Fraiman Beatriz Pateiro-López 79 80 0 31 May 2011
Vector Diffusion Maps and the Connection Laplacian A. Singer Hau-Tieng Wu 73 310 0 01 Feb 2011
Minimax Manifold Estimation Christopher R. Genovese M. Perone-Pacifico I. Verdinelli Larry A. Wasserman 97 128 0 04 Jul 2010
A nonparametric approach to the estimation of lengths and surface areas Antonio Cuevas R. Fraiman Alberto Rodríguez-Casal 130 60 0 16 Aug 2007