Complexity L0-Penalized M-Estimation: Consistency in More Dimensions

Complexity L0-Penalized M-Estimation: Consistency in More Dimensions

We study the asymptotics in L2 for complexity penalized least squares regression for the discrete approximation of finite-dimensional signals on continuous domains—e.g., images—by piecewise smooth functions. We introduce a fairly general setting, which comprises most of the presently popular partiti...

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Bibliographic Details
Main Authors: Gerhard Winkler, Volkmar Liebscher, Felix Friedrich, Laurent Demaret
Format: Article
Language:English
Published: MDPI AG 2013-07-01
Series:Axioms
Subjects:
adaptive estimation
penalized M-estimation
Potts functional
complexity penalized
variational approach
consistency
convergence rates
wedgelet partitions
Delaunay triangulations
Online Access:http://www.mdpi.com/2075-1680/2/3/311

Internet

http://www.mdpi.com/2075-1680/2/3/311

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