A generalized elastic net regularization with smoothed \(\ell _{q}\) penalty for sparse vector recovery

DOI10.1007/s10589-017-9916-7zbMath1387.90246OpenAlexW2616483890MaRDI QIDQ1687319

Peng Zhang

Publication date: 22 December 2017

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-017-9916-7

zbMATH Keywords

convergenceiterative algorithmcompressed sensing\(\ell _{q}\) minimizationelastic net regularization

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Nonlinear programming (90C30)

Related Items (1)

A Lorentzian-\(\ell_p\) norm regularization based algorithm for recovering sparse signals in two types of impulsive noise

Uses Software

• PDCO

Cites Work

• Unnamed Item
• The Adaptive Lasso and Its Oracle Properties
• A smoothing SQP framework for a class of composite \(L_q\) minimization over polyhedron
• Enhancing sparsity by reweighted \(\ell _{1}\) minimization
• Lasso-type recovery of sparse representations for high-dimensional data
• Least angle regression. (With discussion)
• Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed $\ell_q$ Minimization
• Worst-Case Complexity of Smoothing Quadratic Regularization Methods for Non-Lipschitzian Optimization
• An Unconstrained $\ell_q$ Minimization with $0q\leq1$ for Sparse Solution of Underdetermined Linear Systems
• Lower Bound Theory of Nonzero Entries in Solutions of $\ell_2$-$\ell_p$ Minimization
• Linearly Constrained Non-Lipschitz Optimization for Image Restoration
• Restricted isometry properties and nonconvex compressive sensing
• Iteratively reweighted least squares minimization for sparse recovery
• On the Number of Solutions to Polynomial Systems of Equations
• Atomic Decomposition by Basis Pursuit
• Structured Compressed Sensing: From Theory to Applications
• Sparse Approximation Property and Stable Recovery of Sparse Signals From Noisy Measurements
• On $l_q$ Optimization and Matrix Completion
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
• Sparse Approximate Solutions to Linear Systems
• Regularization and Variable Selection Via the Elastic Net
• Compressed sensing

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