Complexity regularization for nonlinear inverse problems

Jean Michel Loubes; Lude\~na Carenne

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Complexity regularization for nonlinear inverse problems

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arxiv math/0502033 v1 pith:S234SXRE submitted 2005-02-01 math.ST stat.TH

Jean Michel Loubes , Ludeña Carenne This is my paper · ORCID

classification math.STstat.TH

keywords inverseproblemscomplexityestimatorsnonlinearregularizationachievingadaptive

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We provide estimators for a large class of inverse problems, including nonlinear inverse problems. Using complexity regularization technics we provide adaptive estimators achieving the best rate over the collection of models.

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