电邮这篇文章 Estimation of the Loss Function When Using Wavelet-Vaguelette Decomposition for Solving Ill-Posed Problems
- 作者: Kudryavtsev A.A.1, Shestakov O.V.2
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隶属关系:
- Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics, M. V. Lomonosov Moscow State University
- Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- 期: 卷 237, 编号 6 (2019)
- 页面: 804-809
- 栏目: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242456
- DOI: https://doi.org/10.1007/s10958-019-04206-z
- ID: 242456
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详细
The paper discusses the de-noising method in a model with an additive Gaussian noise, based on the wavelet-vaguelette decomposition and thresholding of the vaguelette coefficients. For soft and hard thresholding procedures, we derive the values of the thresholds and estimate asymptotically optimal orders of the loss function based on the probabilities of errors in calculating decomposition coefficients.
作者简介
A. Kudryavtsev
Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics, M. V. Lomonosov Moscow State University
编辑信件的主要联系方式.
Email: nubigena@mail.ru
俄罗斯联邦, Moscow
O. Shestakov
Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Email: nubigena@mail.ru
俄罗斯联邦, Moscow
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