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AN ALTERNATING MINIMIZATION METHOD FOR MATRIX COMPLETION PROBLEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 卷号: 13, 期号: 6, 页码: 1757-1772
Authors:  Shen, Yuan;  Liu, Xin
Favorite  |  View/Download:12/0  |  Submit date:2020/05/24
Matrix completion  symmetric low rank product minimization  singular value decomposition  alternating minimization  
ADAPTIVE LOW-NONNEGATIVE-RANK APPROXIMATION FOR STATE AGGREGATION OF MARKOV CHAINS 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020, 卷号: 41, 期号: 1, 页码: 244-278
Authors:  Duan, Yaqi;  Wang, Mengdi;  Wen, Zaiwen;  Yuan, Yaxiang
Favorite  |  View/Download:5/0  |  Submit date:2020/09/23
Markov chain  state aggregation  nonnegative matrix factorization  atomic norm  proximal alternating linearized minimization  
An alternating minimization method for robust principal component analysis 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2019, 卷号: 34, 期号: 6, 页码: 1251-1276
Authors:  Shen, Yuan;  Xu, Hongyu;  Liu, Xin
Favorite  |  View/Download:15/0  |  Submit date:2020/01/10
Robust principal component analysis  symmetric low rank product minimization  singular value decomposition  alternating minimization  
Symmetric rank-1 approximation of symmetric high-order tensors 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2019, 页码: 23
Authors:  Wu, Leqin;  Liu, Xin;  Wen, Zaiwen
Favorite  |  View/Download:6/0  |  Submit date:2020/05/24
Rank-1 approximation  symmetric tensor  proximal alternating linearized minimization  Bose?Einstein condensate  
Extended ADMM and BCD for nonseparable convex minimization models with quadratic coupling terms: convergence analysis and insights 期刊论文
MATHEMATICAL PROGRAMMING, 2019, 卷号: 173, 期号: 1-2, 页码: 37-77
Authors:  Chen, Caihua;  Li, Min;  Liu, Xin;  Ye, Yinyu
Favorite  |  View/Download:16/0  |  Submit date:2019/03/11
Nonseparable convex minimization  Alternating direction method of multipliers  Block coordinate descent method  Iterate convergence  Random permutation  
An adaptive algorithm for TV-based model of three norms L-q(q=1/2, 1, 2) in image restoration 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 329, 页码: 251-265
Authors:  Chang, Qianshun;  Che, Zengyan
Favorite  |  View/Download:15/0  |  Submit date:2018/07/30
Image restoration  Split Bregman method  Alternating minimization method  L-1/2 norm  L-2 norm  
A new accelerated alternating minimization method for analysis sparse recovery 期刊论文
SIGNAL PROCESSING, 2018, 卷号: 145, 页码: 167-174
Authors:  Xie, Jiaxin;  Liao, Anping;  Lei, Yuan
Favorite  |  View/Download:13/0  |  Submit date:2018/07/30
Compressed sensing  Moreau proximal smoothing  Accelerated alternating minimization  Sparse recovery  Total variation  
A new accelerated alternating minimization method for analysis sparse recovery 期刊论文
SIGNAL PROCESSING, 2018, 卷号: 145, 页码: 167
Authors:  Xie, Jiaxin;  Liao, Anping;  Lei, Yuan
Favorite  |  View/Download:8/0  |  Submit date:2019/12/31
On preconditioned and relaxed AVMM methods for quadratic programming problems with equality constraints 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 卷号: 516, 页码: 264-285
Authors:  Bai, Zhong-Zhi;  Tao, Min
Favorite  |  View/Download:7/0  |  Submit date:2018/07/30
Equality-constraint quadratic  programming problem  Iteration method  Successive relaxation  
Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints 期刊论文
BIT NUMERICAL MATHEMATICS, 2016, 卷号: 56, 期号: 2, 页码: 399-422
Authors:  Bai, Zhong-Zhi;  Tao, Min
Favorite  |  View/Download:9/0  |  Submit date:2018/07/30
Equality-constraint quadratic programming problem  Solvability  Iteration method  Preconditioning  Asymptotic convergence