Almost everywhere behavior of general wavelet shrinkage operators

DOI10.1006/acha.2000.0314zbMath0953.62032OpenAlexW1964235245MaRDI QIDQ1577562

Brani Vidakovic, Terence C. Tao

Publication date: 4 January 2001

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/acha.2000.0314

zbMATH Keywords

wavelet shrinkagethresholdingalmost everywhere convergence

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Nonparametric estimation (62G05)

Related Items

A nonconvex nonsmooth image prior based on the hyperbolic tangent function ⋮ Convergence order of wavelet thresholding estimator for differential operators on Besov spaces ⋮ Wavelet shrinkage estimators of Calderón-Zygmund operators with odd kernels ⋮ Convergence of wavelet thresholding estimators of differential operators ⋮ Wavelet thresholding estimator on interval via interpolatory Hermite splines ⋮ Wavelet shrinkage estimators of Hilbert transform ⋮ Wavelet thresholding estimator on B s p , q ( R n ) ⋮ Reconstruction of functions from prescribed proximal points ⋮ CONVERGENCE OF THE CONTINUOUS WAVELET TRANSFORMS ON THE ENTIRE LEBESGUE SET OF L_p-FUNCTIONS ⋮ A Variational Inequality Model for the Construction of Signals from Inconsistent Nonlinear Equations

Uses Software

• S+WAVELETS

Cites Work

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• Heuristics of instability and stabilization in model selection
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• Multiple shrinkage and subset selection in wavelets
• Wavelet Thresholding via A Bayesian Approach
• Ideal spatial adaptation by wavelet shrinkage
• Adaptive Bayesian Wavelet Shrinkage