An accelerated smoothing gradient method for nonconvex nonsmooth minimization in image processing
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Publication:2059822
DOI10.1007/s10915-021-01677-8zbMath1483.65102OpenAlexW3215345702MaRDI QIDQ2059822
Publication date: 14 December 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01677-8
extrapolationimage reconstructionpotential functionimage deblurringsmooth approximationnonconvex and nonsmooth optimization
Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)
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Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Global convergence of a proximal linearized algorithm for difference of convex functions
- Approximation accuracy, gradient methods, and error bound for structured convex optimization
- Smoothing methods for nonsmooth, nonconvex minimization
- Convergence of the reweighted \(\ell_1\) minimization algorithm for \(\ell_2-\ell_p\) minimization
- Sparsest solutions of underdetermined linear systems via \( \ell _q\)-minimization for \(0<q\leqslant 1\)
- On the Clarke subdifferential of the distance function of a closed set
- An iterative support shrinking algorithm for non-Lipschitz optimization in image restoration
- Global convergence of ADMM in nonconvex nonsmooth optimization
- Fast L1-L2 minimization via a proximal operator
- A proximal difference-of-convex algorithm with extrapolation
- Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods
- X-ray CT image reconstruction via wavelet frame based regularization and Radon domain inpainting
- A globally convergent algorithm for a constrained non-Lipschitz image restoration model
- A nonconvex truncated regularization and box-constrained model for CT reconstruction
- A new proximal iterative hard thresholding method with extrapolation for \(\ell _0\) minimization
- Adaptive restart for accelerated gradient schemes
- General inertial proximal gradient method for a class of nonconvex nonsmooth optimization problems
- Iteratively reweighted \(\ell _1\) algorithms with extrapolation
- Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization
- Image restoration by minimizing zero norm of wavelet frame coefficients
- Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed $\ell_q$ Minimization
- Optimality Conditions and a Smoothing Trust Region Newton Method for NonLipschitz Optimization
- Nonconvex TV$^q$-Models in Image Restoration: Analysis and a Trust-Region Regularization--Based Superlinearly Convergent Solver
- iPiano: Inertial Proximal Algorithm for Nonconvex Optimization
- Fast Algorithms for Image Reconstruction with Application to Partially Parallel MR Imaging
- Linear Convergence of Proximal Gradient Algorithm with Extrapolation for a Class of Nonconvex Nonsmooth Minimization Problems
- Smoothing Nonlinear Conjugate Gradient Method for Image Restoration Using Nonsmooth Nonconvex Minimization
- A New Alternating Minimization Algorithm for Total Variation Image Reconstruction
- CT Image Reconstruction by Spatial-Radon Domain Data-Driven Tight Frame Regularization
- A Weighted Difference of Anisotropic and Isotropic Total Variation Model for Image Processing
- Global Convergence of Splitting Methods for Nonconvex Composite Optimization
- Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models
- Dynamic MRI reconstruction from undersampled data with an anatomical prescan
- On the Edge Recovery Property of Noncovex Nonsmooth Regularization in Image Restoration
- On a general smoothly truncated regularization for variational piecewise constant image restoration: construction and convergent algorithms
- Douglas--Rachford Splitting and ADMM for Nonconvex Optimization: Tight Convergence Results
- On Iteratively Reweighted Algorithms for Nonsmooth Nonconvex Optimization in Computer Vision
- Fast Nonconvex Nonsmooth Minimization Methods for Image Restoration and Reconstruction
- Non-Lipschitz $\ell_{p}$-Regularization and Box Constrained Model for Image Restoration
- Efficient Reconstruction of Piecewise Constant Images Using Nonsmooth Nonconvex Minimization
- Analysis of the Recovery of Edges in Images and Signals by Minimizing Nonconvex Regularized Least-Squares
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