A Projection Proximal-Point Algorithm for ℓ1Minimization
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Publication:3578007
DOI10.1080/01630560903381712zbMath1204.46042arXiv0904.1523OpenAlexW3102576816MaRDI QIDQ3578007
Publication date: 13 July 2010
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.1523
proximal point methodsparse reconstruction\(\ell_1\)-minimizationsparsity constrainthybrid projection-proximal point algorithm
Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)
Cites Work
- Linear convergence of iterative soft-thresholding
- A generalized conditional gradient method and its connection to an iterative shrinkage method
- Least angle regression. (With discussion)
- Fixed-Point Continuation for $\ell_1$-Minimization: Methodology and Convergence
- A semismooth Newton method for Tikhonov functionals with sparsity constraints
- Fast Solution of $\ell _{1}$-Norm Minimization Problems When the Solution May Be Sparse
- Iterated Hard Shrinkage for Minimization Problems with Sparsity Constraints
- A new approach to variable selection in least squares problems
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- A generalized conditional gradient method for nonlinear operator equations with sparsity constraints
- Signal Recovery by Proximal Forward-Backward Splitting
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