Nonconvex flexible sparsity regularization: theory and monotone numerical schemes
From MaRDI portal
Publication:5077167
DOI10.1080/02331934.2021.2011869zbMath1493.90182arXiv2111.06281OpenAlexW3213241728MaRDI QIDQ5077167
Elena Resmerita, Dirk A. Lorenz, Daria Ghilli
Publication date: 18 May 2022
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.06281
Related Items
Modular-Proximal Gradient Algorithms in Variable Exponent Lebesgue Spaces, Inducing sparsity via the horseshoe prior in imaging problems
Uses Software
Cites Work
- Unnamed Item
- Nearly unbiased variable selection under minimax concave penalty
- Proximal alternating linearized minimization for nonconvex and nonsmooth problems
- Iterative reweighted minimization methods for \(l_p\) regularized unconstrained nonlinear programming
- Convergence rates for regularization with sparsity constraints
- Convergence of the reweighted \(\ell_1\) minimization algorithm for \(\ell_2-\ell_p\) minimization
- Non-convex sparse regularisation
- On monotone and primal-dual active set schemes for \(\ell^p\)-type problems, \(p \in (0,1\)]
- Proximal algorithms for multicomponent image recovery problems
- Well-posedness and convergence rates for sparse regularization with sublinear \(l^q\) penalty term
- Optimization problems involving group sparsity terms
- Minimization of non-smooth, non-convex functionals by iterative thresholding
- Iteratively reweighted \(\ell _1\) algorithms with extrapolation
- On the minimization of a Tikhonov functional with a non-convex sparsity constraint
- Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
- Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed $\ell_q$ Minimization
- Flexible sparse regularization
- Linear convergence rates for Tikhonov regularization with positively homogeneous functionals
- Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
- A Generalized Krylov Subspace Method for $\ell_p$-$\ell_q$ Minimization
- Regularization with non-convex separable constraints
- Global Convergence of Splitting Methods for Nonconvex Composite Optimization
- A semismooth Newton method for Tikhonov functionals with sparsity constraints
- Convergence rates and source conditions for Tikhonov regularization with sparsity constraints
- Sparse regularization with l q penalty term
- On Tikhonov regularization with non-convex sparsity constraints
- Iterated Hard Shrinkage for Minimization Problems with Sparsity Constraints
- Optimization and nonsmooth analysis
- Linear Inversion of Band-Limited Reflection Seismograms
- Atomic Decomposition by Basis Pursuit
- Sparse Reconstruction by Separable Approximation
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- Reweighted $\ell_1$-Minimization for Sparse Solutions to Underdetermined Linear Systems
- Comments on «Wavelets in statistics: A review» by A. Antoniadis
- Group sparse optimization via $\ell_{p,q}$ regularization
- Parallel Proximal Algorithm for Image Restoration Using Hybrid Regularization
- Analysis of Half-Quadratic Minimization Methods for Signal and Image Recovery
- Convex Analysis
- Convolution and Jackson inequalities in Musielak–Orlicz spaces