Saturation spaces for regularization methods in inverse problems

Anne Vanhems and Jean-Michel Loubes

No 380, Econometric Society 2004 North American Summer Meetings from Econometric Society

Abstract: The aim of this article is to characterize the saturation spaces that appear in inverse problems. Such spaces are defined for a regularization method and the rate of convergence of the estimation part of the inverse problem depends on their definition. Here we prove that it is possible to define these spaces as regularity spaces, independent of the choice of the approximation method. Moreover, this intrinsec definition enables us to provide minimax rate of convergence under such assumptions

Keywords: Linear inverse problems; regularization methods; structural econometrics (search for similar items in EconPapers)
JEL-codes: C14 C20 (search for similar items in EconPapers)
Date: 2004-08-11
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