Combining line search and trust-region methods forℓ1-minimization
DOI10.1080/00207160.2017.1346241zbMath1499.65214OpenAlexW2731910434MaRDI QIDQ5028615
Madjid Rostami, Hamid Esmaeili, Morteza Kimiaei
Publication date: 10 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2017.1346241
global convergencenonmonotone line searchimage deblurringcompressed sensingtrust-region framework\(\ell_1\)-minimizationshrinkage operation
Numerical mathematical programming methods (65K05) Convex programming (90C25) Large-scale problems in mathematical programming (90C06) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Nonmonotone Barzilai-Borwein gradient algorithm for \(\ell_1\)-regularized nonsmooth minimization in compressive sensing
- A coordinate gradient descent method for \(\ell_{1}\)-regularized convex minimization
- A coordinate gradient descent method for nonsmooth separable minimization
- Tensor methods for large sparse systems of nonlinear equations
- A quasi-Newton trust-region method
- Primal and dual alternating direction algorithms for \(\ell _{1}\)-\(\ell _{1}\)-norm minimization problems in compressive sensing
- Compressed sensing and its applications. MATHEON workshop, Berlin, Germany, December 2013
- A nonmonotone trust-region line search method for large-scale unconstrained optimization
- An effective trust-region-based approach for symmetric nonlinear systems
- A fast minimization method for blur and multiplicative noise removal
- Proximal Splitting Methods in Signal Processing
- On the convergence of an active-set method for ℓ1minimization
- A Fast Algorithm for Sparse Reconstruction Based on Shrinkage, Subspace Optimization, and Continuation
- Fixed-Point Continuation Applied to Compressed Sensing: Implementation and Numerical Experiments
- NESTA: A Fast and Accurate First-Order Method for Sparse Recovery
- An EM algorithm for wavelet-based image restoration
- Probing the Pareto Frontier for Basis Pursuit Solutions
- Two-Point Step Size Gradient Methods
- The watchdog technique for forcing convergence in algorithms for constrained optimization
- Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage
- Sparse Reconstruction by Separable Approximation
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- A Nonmonotone Line Search Technique for Newton’s Method
- Stable signal recovery from incomplete and inaccurate measurements
- The Convergence of an Algorithm for Solving Sparse Nonlinear Systems
- Compressed sensing
- Benchmarking optimization software with performance profiles.
This page was built for publication: Combining line search and trust-region methods forℓ1-minimization
