Several Classes of Stationary Points for Rank Regularized Minimization Problems
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Publication:3300765
DOI10.1137/19M1270987zbMath1447.90041arXiv1906.08922OpenAlexW3038810201MaRDI QIDQ3300765
Shujun Bi, Shaohua Pan, Yu-Lan Liu
Publication date: 30 July 2020
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.08922
Nonconvex programming, global optimization (90C26) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)
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Cites Work
- Unnamed Item
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- Lipschitz and Hölder stability of optimization problems and generalized equations
- A rank-corrected procedure for matrix completion with fixed basis coefficients
- First order optimality conditions for mathematical programs with semidefinite cone complementarity constraints
- Estimation of (near) low-rank matrices with noise and high-dimensional scaling
- On metric and calmness qualification conditions in subdifferential calculus
- Characterization of the subdifferential of some matrix norms
- Sensitivity analysis for nonsmooth generalized equations
- Restricted Robinson constraint qualification and optimality for cardinality-constrained cone programming
- Equivalent Lipschitz surrogates for zero-norm and rank optimization problems
- Implicit multifunction theorems for the sensitivity analysis of variational conditions
- Generalized subdifferentials of the rank function
- An introduction to a class of matrix cone programming
- On M-stationary points for mathematical programs with equilibrium constraints
- Nonsmooth analysis of singular values. I: Theory
- Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed $\ell_q$ Minimization
- Hankel Matrix Rank Minimization with Applications to System Identification and Realization
- Computing B-Stationary Points of Nonsmooth DC Programs
- Implicit Functions and Solution Mappings
- Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
- Exact Penalization and Necessary Optimality Conditions for Generalized Bilevel Programming Problems
- Variational Analysis
- Rank reduction of correlation matrices by majorization
- Recovering Low-Rank Matrices From Few Coefficients in Any Basis
- Multistage Convex Relaxation Approach to Rank Regularized Minimization Problems Based on Equivalent Mathematical Program with a Generalized Complementarity Constraint
- Convex Analysis
- Mathematical Programs with Cardinality Constraints: Reformulation by Complementarity-Type Conditions and a Regularization Method