Exact penalization for cardinality and rank-constrained optimization problems via partial regularization

DOI10.1080/10556788.2022.2142583OpenAlexW4313560666MaRDI QIDQ5882242

Shuhuang Xiang, Xiaorui Li, Zhaosong Lu

Publication date: 15 March 2023

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2022.2142583

zbMATH Keywords

sparse optimizationexact penaltyrank constraintcardinality constraintlow-rank optimizationpartial regularization

Mathematics Subject Classification ID

Uses Software

• PDCO

Cites Work

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• Nearly unbiased variable selection under minimax concave penalty
• Enhancing sparsity by reweighted \(\ell _{1}\) minimization
• A perturbation inequality for concave functions of singular values and its applications in low-rank matrix recovery
• \(\ell _p\) regularized low-rank approximation via iterative reweighted singular value minimization
• DC formulations and algorithms for sparse optimization problems
• Error bounds for rank constrained optimization problems and applications
• Nonconvex sorted \(\ell_1\) minimization for sparse approximation
• Exact matrix completion via convex optimization
• Computing a Nearest Correlation Matrix with Factor Structure
• Calmness and Exact Penalization
• Model selection and estimation in the Gaussian graphical model
• Decoding by Linear Programming
• Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
• Atomic Decomposition by Basis Pursuit
• Exact Penalization and Necessary Optimality Conditions for Generalized Bilevel Programming Problems
• Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
• High-Resolution Radar via Compressed Sensing
• Sparse Reconstruction by Separable Approximation
• Recovering Sparse Signals With a Certain Family of Nonconvex Penalties and DC Programming
• A Statistical View of Some Chemometrics Regression Tools
• 10.1162/153244303322753751
• $\ell _0$ Minimization for wavelet frame based image restoration
• Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals
• Dimension Reduction and Coefficient Estimation in Multivariate Linear Regression
• Sparse Recovery via Partial Regularization: Models, Theory, and Algorithms
• Difference-of-Convex Learning: Directional Stationarity, Optimality, and Sparsity
• Penalty Methods for a Class of Non-Lipschitz Optimization Problems
• An exact penalty method for semidefinite-box-constrained low-rank matrix optimization problems
• Solution sets of three sparse optimization problems for multivariate regression

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