منابع مشابه
Radon needlet thresholding
We provide a new algorithm for the treatment of the noisy inversion of the Radon transform using an appropriate thresholding technique adapted to a well-chosen new localized basis. We establish minimax results and prove their optimality. In particular, we prove that the procedures provided here are able to attain minimax bounds for any Lp loss. It is important to notice that most of the minimax...
متن کاملar X iv : 0 90 8 . 25 14 v 1 [ m at h . ST ] 1 8 A ug 2 00 9 Radon needlet thresholding
We provide a new algorithm for the treatment of the noisy inversion of the radon transform using an appropriate thresholding technique adapted to a well chosen new localized basis. We establish minimax results and prove their optimality. In particular we prove that the procedures provided here are able to attain minimax bounds for any L p loss. It is important to notice that most of the minimax...
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ژورنال
عنوان ژورنال: Bernoulli
سال: 2012
ISSN: 1350-7265
DOI: 10.3150/10-bej340