Elastic-net regularization versus ℓ 1 -regularization for linear inverse problems with quasi-sparse solutions
type: Item
instance of: scholarly article
title: Elastic-net regularization versus ℓ 1 -regularization for linear inverse problems with quasi-sparse solutions
DOI: 10.1088/1361-6420/33/1/015004
author: De-Han Chen
author: Bernd Hofmann
author: Jun Zou
published in: Inverse Problems
publication date: 2017-04-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/1604.03364
Mathematics Subject Classification ID: 35-XX
Mathematics Subject Classification ID: 47-XX
zbMATH DE Number: 6701168
zbMATH Keywords: linear ill-posed problems
zbMATH Keywords: sparsity constraints
zbMATH Keywords: elastic-net regularization
zbMATH Keywords: \(\ell^1\)-regularization
zbMATH Keywords: convergence rates
zbMATH Keywords: source conditions
MaRDI profile type: Publication
OpenAlex ID: W3103262095
cites work: Regularization properties of the sequential discrepancy principle for Tikhonov regularization in Banach spaces
cites work: On the interplay of basis smoothness and specific range conditions occurring in sparsity regularization
cites work: Morozov's discrepancy principle for Tikhonov-type functionals with nonlinear operators
cites work: Q4658070
cites work: An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems
cites work: Regularization with non-convex separable constraints
cites work: Convergence rates inℓ1-regularization if the sparsity assumption fails
cites work: Convergence rates of convex variational regularization
cites work: Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
cites work: Elastic-net regularization in learning theory
cites work: Range Inclusions and Approximate Source Conditions with General Benchmark Functions
cites work: Q4895893
cites work: Solution smoothness of ill-posed equations in Hilbert spaces: four concepts and their cross connections
cites work: A unified approach to convergence rates for \(\ell^{1}\)-regularization and lacking sparsity
cites work: Generalized Bregman distances and convergence rates for non-convex regularization methods
cites work: Sparse regularization with l q penalty term
cites work: Q3334886
cites work: Approximate source conditions for nonlinear ill-posed problems—chances and limitations
cites work: Approximate source conditions in Tikhonov–Phillips regularization and consequences for inverse problems with multiplication operators
cites work: A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
cites work: Analysis of Profile Functions for General Linear Regularization Methods
cites work: Multi-parameter Tikhonov regularization
cites work: Convergence rates of Tikhonov regularizations for parameter identification in a parabolic-elliptic system
cites work: Elastic-net regularization: error estimates and active set methods
cites work: Convergence rates and source conditions for Tikhonov regularization with sparsity constraints
cites work: How general are general source conditions?
cites work: Convergence rates for regularization with sparsity constraints
cites work: Variational methods in imaging
cites work: Regularization methods in Banach spaces.
cites work: A generalized wavelet transform for Fourier analysis: the multiresolution Fourier transform and its application to image and audio signal analysis
cites work: On Tikhonov regularization with non-convex sparsity constraints
cites work: Regularization and Variable Selection Via the Elastic Net
description: scientific article; zbMATH DE number 6701168