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Nonlinear Regularization of Inverse Problems for Linear Homogeneous Transforms by Stabilized Hard Thresholding

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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… Click to show full abstract

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.

Keywords: nonlinear regularization; stabilized hard; homogeneous transforms; hard thresholding; regularization inverse; linear homogeneous

Journal Title: Journal of Mathematical Sciences
Year Published: 2018

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