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EXACT PENALTY FUNCTION FOR \ell2,1 NORM MINIMIZATION OVER THE STIEFEL MANIFOLD 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2021, 卷号: 31, 期号: 4, 页码: 3097-3126
Authors:  Xiao, Nachuan;  Liu, Xin;  Ya-Xiang Yuan
Favorite  |  View/Download:47/0  |  Submit date:2022/04/02
orthogonality constraint  Stiefel manifold  nonsmooth optimization  augmented Lagrangian method  
A class of smooth exact penalty function methods for optimization problems with orthogonality constraints 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2020, 页码: 37
Authors:  Xiao, Nachuan;  Liu, Xin;  Yuan, Ya-xiang
Favorite  |  View/Download:76/0  |  Submit date:2021/01/14
Orthogonality constraint  Stiefel manifold  augmented Lagrangian method  
Pseudo complementary measurement for traditional single-pixel cameras* 期刊论文
CHINESE PHYSICS B, 2020, 卷号: 29, 期号: 11, 页码: 8
Authors:  Dong, Qian;  Yao, Xu-Ri;  Liu, Xin;  Liu, Bing;  Zhai, Guang-Jie
Favorite  |  View/Download:80/0  |  Submit date:2021/01/14
computational imaging  single-pixel camera  
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:97/0  |  Submit date:2020/05/24
Matrix completion  symmetric low rank product minimization  singular value decomposition  alternating minimization  
An Efficient Orthonormalization-Free Approach for Sparse Dictionary Learning and Dual Principal Component Pursuit 期刊论文
SENSORS, 2020, 卷号: 20, 期号: 11, 页码: 25
Authors:  Hu, Xiaoyin;  Liu, Xin
Favorite  |  View/Download:78/0  |  Submit date:2020/09/23
dual principal component pursuit  orthogonality constraint  sparse dictionary learning  stiefel manifold  
A Brief Introduction to Manifold Optimization 期刊论文
Journal of the Operations Research Society of China, 2020, 卷号: 8, 期号: 2, 页码: 199-248
Authors:  Hu Jiang;  Liu Xin;  Wen Zaiwen;  Yuan Yaxiang
Favorite  |  View/Download:54/0  |  Submit date:2021/01/14
Convergence  First-order-type algorithms  Manifold optimization  Retraction  Second-order-type algorithms  
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:89/0  |  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:74/0  |  Submit date:2020/05/24
Rank-1 approximation  symmetric tensor  proximal alternating linearized minimization  Bose?Einstein condensate  
On the Nonergodic Convergence Rate of an Inexact Augmented Lagrangian Framework for Composite Convex Programming 期刊论文
MATHEMATICS OF OPERATIONS RESEARCH, 2019, 卷号: 44, 期号: 2, 页码: 632-650
Authors:  Liu, Ya-Feng;  Liu, Xin;  Ma, Shiqian
Favorite  |  View/Download:89/0  |  Submit date:2020/01/10
inexact augmented Lagrangian framework  nonergodic convergence rate  composite convex programming  
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:94/0  |  Submit date:2019/03/11
Nonseparable convex minimization  Alternating direction method of multipliers  Block coordinate descent method  Iterate convergence  Random permutation