An accelerated smoothing gradient method for nonconvex nonsmooth minimization in image processing
type: Item
instance of: scholarly article
title: An accelerated smoothing gradient method for nonconvex nonsmooth minimization in image processing
zbMATH Open document ID: 1483.65102
author: Wei Na Wang
author: Yunmei Chen
published in: Journal of Scientific Computing
publication date: 2021-12-14T00:00:00Z
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 65F22
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 90C26
zbMATH DE Number: 7444776
zbMATH Keywords: nonconvex and nonsmooth optimization
zbMATH Keywords: image deblurring
zbMATH Keywords: image reconstruction
zbMATH Keywords: smooth approximation
zbMATH Keywords: potential function
zbMATH Keywords: extrapolation
MaRDI profile type: Publication
full work available at URL: s10915-021-01677-8
OpenAlex ID: W3215345702
cites work: Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods
cites work: Image restoration by minimizing zero norm of wavelet frame coefficients
cites work: A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
cites work: Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization
cites work: On the Clarke subdifferential of the distance function of a closed set
cites work: Smoothing methods for nonsmooth, nonconvex minimization
cites work: Non-Lipschitz $\ell_{p}$-Regularization and Box Constrained Model for Image Restoration
cites work: Optimality conditions and a smoothing trust region Newton method for nonlipschitz optimization
cites work: Smoothing Nonlinear Conjugate Gradient Method for Image Restoration Using Nonsmooth Nonconvex Minimization
cites work: Convergence of the reweighted \(\ell_1\) minimization algorithm for \(\ell_2-\ell_p\) minimization
cites work: Fast algorithms for image reconstruction with application to partially parallel MR imaging
cites work: Q3996569
cites work: X-ray CT image reconstruction via wavelet frame based regularization and Radon domain inpainting
cites work: Sparsest solutions of underdetermined linear systems via \( \ell _q\)-minimization for \(0<q\leqslant 1\)
cites work: On a general smoothly truncated regularization for variational piecewise constant image restoration: construction and convergent algorithms
cites work: Nonconvex TV\(^q\)-models in image restoration: analysis and a trust-region regularization-based superlinearly convergent solver
cites work: Improved iteratively reweighted least squares for unconstrained smoothed \(\ell_q\) minimization
cites work: Global Convergence of Splitting Methods for Nonconvex Composite Optimization
cites work: Fast L1-L2 minimization via a proximal operator
cites work: A Weighted Difference of Anisotropic and Isotropic Total Variation Model for Image Processing
cites work: Q3320132
cites work: Analysis of the Recovery of Edges in Images and Signals by Minimizing Nonconvex Regularized Least-Squares
cites work: Fast Nonconvex Nonsmooth Minimization Methods for Image Restoration and Reconstruction
cites work: Efficient Reconstruction of Piecewise Constant Images Using Nonsmooth Nonconvex Minimization
cites work: iPiano: inertial proximal algorithm for nonconvex optimization
cites work: On Iteratively Reweighted Algorithms for Nonsmooth Nonconvex Optimization in Computer Vision
cites work: Adaptive restart for accelerated gradient schemes
cites work: Dynamic MRI reconstruction from undersampled data with an anatomical prescan
cites work: Nonlinear total variation based noise removal algorithms
cites work: Global convergence of a proximal linearized algorithm for difference of convex functions
cites work: Douglas--Rachford Splitting and ADMM for Nonconvex Optimization: Tight Convergence Results
cites work: Approximation accuracy, gradient methods, and error bound for structured convex optimization
cites work: A nonconvex truncated regularization and box-constrained model for CT reconstruction
cites work: A globally convergent algorithm for a constrained non-Lipschitz image restoration model
cites work: A New Alternating Minimization Algorithm for Total Variation Image Reconstruction
cites work: Global convergence of ADMM in nonconvex nonsmooth optimization
cites work: Linear Convergence of Proximal Gradient Algorithm with Extrapolation for a Class of Nonconvex Nonsmooth Minimization Problems
cites work: A proximal difference-of-convex algorithm with extrapolation
cites work: Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models
cites work: General inertial proximal gradient method for a class of nonconvex nonsmooth optimization problems
cites work: Iteratively reweighted \(\ell _1\) algorithms with extrapolation
cites work: An iterative support shrinking algorithm for non-Lipschitz optimization in image restoration
cites work: On the Edge Recovery Property of Noncovex Nonsmooth Regularization in Image Restoration
cites work: CT Image Reconstruction by Spatial-Radon Domain Data-Driven Tight Frame Regularization
cites work: A new proximal iterative hard thresholding method with extrapolation for \(\ell _0\) minimization
DOI: 10.1007/S10915-021-01677-8
description: scientific article; zbMATH DE number 7444776