Recovering edges in ill-posed inverse problems: Optimality of curvelet frames.
type: Item
instance of: scholarly article
title: Recovering edges in ill-posed inverse problems: Optimality of curvelet frames.
zbMATH Open document ID: 1101.62335
author: Emmanuel J. Candès
author: David Donoho
published in: The Annals of Statistics
publication date: 2002-11-14T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.aos/1028674842
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 62H35
Mathematics Subject Classification ID: 62C20
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 1829101
MaRDI profile type: Publication
OpenAlex ID: W2029026810
cites work: Linear inverse problems with discrete data. I. General formulation and singular system analysis
cites work: Asymptotic equivalence of nonparametric regression and white noise
cites work: Harmonic analysis of neural networks
cites work: Ridgelets: a key to higher-dimensional intermittency?
cites work: Curvelets and curvilinear integrals
cites work: Ten Lectures on Wavelets
cites work: A singular value decomposition for the radon transform inn-dimensional euclidean space
cites work: Q5186149
cites work: Recovery of Blocky Images from Noisy and Blurred Data
cites work: Unconditional bases are optimal bases for data compression and for statistical estimation
cites work: Statistical estimation and optimal recovery
cites work: Asymptotic minimax risk for sup-norm loss: Solution via optimal recovery
cites work: Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
cites work: De-noising by soft-thresholding
cites work: Q4355983
cites work: Wedgelets: Nearly minimax estimation of edges
cites work: Orthonormal Ridgelets and Linear Singularities
cites work: Sparse components of images and optimal atomic decompositions
cites work: Minimax risk over \(l_ p\)-balls for \(l_ q\)-error
cites work: Ideal spatial adaptation by wavelet shrinkage
cites work: Minimax estimation via wavelet shrinkage
cites work: Q4238463
cites work: Geometrizing rates of convergence. III
cites work: Renormalization exponents and optimal pointwise rates of convergence
cites work: Minimax quadratic estimation of a quadratic functional
cites work: Q3930508
cites work: Q3660686
cites work: Asymptotic equivalence of nonparametric regression and white noise model has its limits
cites work: Q3344703
cites work: A discrete transform and decompositions of distribution spaces
cites work: Q4000004
cites work: The Radon transform
cites work: Q3314783
cites work: Speed of estimation in positron emission tomography and related inverse problems
cites work: Discretization effects in statistical inverse problems
cites work: Q4363939
cites work: Thresholding estimators for linear inverse problems and deconvolutions
cites work: Q3212158
cites work: Minimax theory of image reconstruction
cites work: Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
cites work: Incomplete data problems in x-ray computerized tomography
cites work: Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
cites work: Spline smoothing in regression models and asymptotic efficiency in \(L_ 2\)
cites work: Minimax linear regression estimation with symmetric parameter restrictions
cites work: Optimal filtering of square-integrable signals in Gaussian noise
cites work: Nonlinear total variation based noise removal algorithms
cites work: Q5607484
cites work: Q5515676
cites work: Q3996207
DOI: 10.1214/AOS/1028674842
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description: scientific article; zbMATH DE number 1829101