Nonlinear regularization of inverse problems for linear homogeneous transforms by stabilized hard thresholding

DOI10.1007/S10958-018-4044-1zbMath1425.62058OpenAlexW2890865393WikidataQ129251735 ScholiaQ129251735MaRDI QIDQ2313805

O. V. Shestakov

Publication date: 23 July 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-4044-1

zbMATH Keywords

consistencyasymptotic normalityvaguelette-wavelet decomposition

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Nonparametric estimation (62G05) General nonlinear regression (62J02) Numerical methods for inverse problems for integral equations (65R32)

Cites Work

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• Heuristics of instability and stabilization in model selection
• Consistency of risk estimation with thresholding of wavelet coefficients
• Asymptotic normality of adaptive wavelet thresholding risk estimation
• Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
• Wavelet decomposition approaches to statistical inverse problems
• Noise reduction by wavelet thresholding

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