Flexible Krylov Methods for $\ell_p$ Regularization
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Publication:5241248
DOI10.1137/18M1194456zbMath1436.65043arXiv1806.06502MaRDI QIDQ5241248
Julianne Chung, Silvia Gazzola
Publication date: 30 October 2019
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.06502
image deblurringsparsity reconstructionhybrid regularization\(\ell_p\) regularizationflexible Golub-Kahaniterative reweighted norm
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical computation of matrix norms, conditioning, scaling (65F35)
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Uses Software
Cites Work
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- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Nonconvex nonsmooth optimization via convex-nonconvex majorization-minimization
- The projected GSURE for automatic parameter tuning in iterative shrinkage methods
- Wavelet-based multilevel methods for linear ill-posed problems
- Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
- Iterative methods for image deblurring: A Matlab object-oriented approach
- On Krylov projection methods and Tikhonov regularization
- Majorization-minimization generalized Krylov subspace methods for \({\ell _p}\)-\({\ell _q}\) optimization applied to image restoration
- AIR tools II: algebraic iterative reconstruction methods, improved implementation
- IR tools: a MATLAB package of iterative regularization methods and large-scale test problems
- Wavelet domain image restoration with adaptive edge-preserving regularization
- Choosing Regularization Parameters in Iterative Methods for Ill-Posed Problems
- Iterated preconditioned LSQR method for inverse problems on unstructured grids
- Generalized Arnoldi--Tikhonov Method for Sparse Reconstruction
- Hybrid and Iteratively Reweighted Regularization by Unbiased Predictive Risk and Weighted GCV for Projected Systems
- LSMR: An Iterative Algorithm for Sparse Least-Squares Problems
- The Split Bregman Method for L1-Regularized Problems
- A Generalized Krylov Subspace Method for $\ell_p$-$\ell_q$ Minimization
- Recent computational developments in Krylov subspace methods for linear systems
- A Hybrid LSMR Algorithm for Large-Scale Tikhonov Regularization
- On the Rates of Convergence of the Lanczos and the Block-Lanczos Methods
- A Bidiagonalization-Regularization Procedure for Large Scale Discretizations of Ill-Posed Problems
- LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
- Flexible Inner-Outer Krylov Subspace Methods
- Sparse Reconstruction by Separable Approximation
- Inexact Krylov Subspace Methods for Linear Systems
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- Convergence of Inner-Iteration GMRES Methods for Rank-Deficient Least Squares Problems
- A Flexible Inner-Outer Preconditioned GMRES Algorithm
- Discrete Inverse Problems
- An Introduction to Data Analysis and Uncertainty Quantification for Inverse Problems
- A Flexible Krylov Solver for Shifted Systems with Application to Oscillatory Hydraulic Tomography
- Calculating the Singular Values and Pseudo-Inverse of a Matrix
- Fast Nonnegative Least Squares Through Flexible Krylov Subspaces
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