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• W1557191190 abstract "Author(s): Johnstone, Iain M.; Paul, Debashis | Abstract: We consider the linear inverse problem of estimating an unknown signal $f$ from noisy measurements on $Kf$ where the linear operator $K$ admits a wavelet-vaguelette decomposition (WVD). We formulate the problem in the Gaussian sequence model and propose estimation based on complexity penalized regression on a level-by-level basis. We adopt squared error loss and show that the estimator achieves exact rate-adaptive optimality as $f$ varies over a wide range of Besov function classes." @default.
• W1557191190 created "2016-06-24" @default.
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• W1557191190 date "2013-10-26" @default.
• W1557191190 modified "2023-09-27" @default.
• W1557191190 title "Adaptation in a class of linear inverse problems" @default.
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• W1557191190 hasPublicationYear "2013" @default.
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