Bayes procedures for adaptive inference in inverse problems for the white noise modelReport as inadecuate



 Bayes procedures for adaptive inference in inverse problems for the white noise model


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We study empirical and hierarchical Bayes approaches to the problem of estimating an infinite-dimensional parameter in mildly ill-posed inverse problems. We consider a class of prior distributions indexed by a hyperparameter that quantifies regularity. We prove that both methods we consider succeed in automatically selecting this parameter optimall

Author: B. T. Knapik; B. T. Szabó; A. W. van der Vaart; J. H. van Zanten

Source: https://archive.org/







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