Enviar artigo por via de e-mail Nonlinear Regularization of Inverse Problems for Linear Homogeneous Transforms by Stabilized Hard Thresholding
- Autores: Shestakov O.V.1,2
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Afiliações:
- Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
- Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- Edição: Volume 234, Nº 6 (2018)
- Páginas: 780-785
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242001
- DOI: https://doi.org/10.1007/s10958-018-4044-1
- ID: 242001
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Resumo
In this paper we consider the problem of inverting linear homogeneous transforms by Vaguelette–Wavelet decomposition and stabilized hard thresholding of noisy wavelet coefficients. We also prove asymptotic normality and strong consistency of the mean-square risk estimate for this method.
Sobre autores
O. Shestakov
Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University; Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Autor responsável pela correspondência
Email: oshestakov@cs.msu.su
Rússia, Moscow; Moscow
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