Отправить статью по E-mail Estimation of the Loss Function When Using Wavelet-Vaguelette Decomposition for Solving Ill-Posed Problems
- Авторы: Kudryavtsev A.1, Shestakov O.2
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Учреждения:
- 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
- Выпуск: Том 237, № 6 (2019)
- Страницы: 804-809
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242456
- DOI: https://doi.org/10.1007/s10958-019-04206-z
- ID: 242456
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Аннотация
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.
Об авторах
A. Kudryavtsev
Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics, M. V. Lomonosov Moscow State University
Автор, ответственный за переписку.
Email: nubigena@mail.ru
Россия, Moscow
O. Shestakov
Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Email: nubigena@mail.ru
Россия, Moscow
