Nonlinear Regularization of Inverse Problems for Linear Homogeneous Transforms by Stabilized Hard Thresholding
Journal Article
·
· Journal of Mathematical Sciences
- Lomonosov Moscow State University, Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics (Russian Federation)
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.
- OSTI ID:
- 22773706
- Journal Information:
- Journal of Mathematical Sciences, Vol. 234, Issue 6; Conference: 33. international seminar on stability problems for stochastic models, Svetlogorsk (Russian Federation), 12-18 Jun 2016; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
- Country of Publication:
- United States
- Language:
- English
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