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A semismooth Newton based augmented Lagrangian method for nonsmooth optimization on matrix manifolds 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 61
Authors:  Zhou, Yuhao;  Bao, Chenglong;  Ding, Chao;  Zhu, Jun
Favorite  |  View/Download：29/0  |  Submit date：2023/02/07
Nonsmooth manifold optimization  Semismooth Newton method  Augmented Lagrangian method  Riemannian manifold  
Joint Design of Hybrid Beamforming and Reflection Coefficients in RIS-Aided mmWave MIMO Systems 期刊论文
IEEE TRANSACTIONS ON COMMUNICATIONS, 2022, 卷号: 70, 期号: 4, 页码: 2404-2416
Authors:  Li, Renwang;  Guo, Bei;  Tao, Meixia;  Liu, Ya-Feng;  Yu, Wei
Favorite  |  View/Download：64/0  |  Submit date：2022/06/21
Array signal processing  Signal to noise ratio  Interference  Millimeter wave communication  Radio frequency  Quality of service  Minimization  Reconfigurable intelligent surface (RIS)  mmWave  hybrid beamforming  sub-connected structure  manifold optimization  
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：78/0  |  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：118/0  |  Submit date：2021/01/14
Orthogonality constraint  Stiefel manifold  augmented Lagrangian method  
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：124/0  |  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：82/0  |  Submit date：2021/01/14
Convergence  First-order-type algorithms  Manifold optimization  Retraction  Second-order-type algorithms  
A Novel Manifold Regularized Online Semi-supervised Learning Model 期刊论文
COGNITIVE COMPUTATION, 2018, 卷号: 10, 期号: 1, 页码: 49-61
Authors:  Ding, Shuguang;  Xi, Xuanyang;  Liu, Zhiyong;  Qiao, Hong;  Zhang, Bo
Favorite  |  View/Download：198/0  |  Submit date：2018/07/30
Human learning  Manifold regularization  Online semi-supervised learning  Lagrange dual problem  
A NEW FIRST-ORDER ALGORITHMIC FRAMEWORK FOR OPTIMIZATION PROBLEMS WITH ORTHOGONALITY CONSTRAINTS 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2018, 卷号: 28, 期号: 1, 页码: 302-332
Authors:  Gao, Bin;  Liu, Xin;  Chen, Xiaojun;  Yuan, Ya-Xiang
Favorite  |  View/Download：124/0  |  Submit date：2018/07/30
orthogonality constraint  Stiefel manifold  Householder transformation  gradient projection  block coordinate descent  
ADAPTIVE QUADRATICALLY REGULARIZED NEWTON METHOD FOR RIEMANNIAN OPTIMIZATION 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2018, 卷号: 39, 期号: 3, 页码: 1181-1207
Authors:  Hu, Jiang;  Milzarek, Andre;  Wen, Zaiwen;  Yuan, Yaxiang
Favorite  |  View/Download：126/0  |  Submit date：2019/03/05
Riemannian optimization  regularization  trust-region methods  inexactness  
A framework of constraint preserving update schemes for optimization on Stiefel manifold 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 153, 期号: 2, 页码: 535-575
Authors:  Jiang, Bo;  Dai, Yu-Hong
Favorite  |  View/Download：85/0  |  Submit date：2018/07/30
Stiefel manifold  Orthogonality constraint  Sphere constraint  Range space  Null space  Barzilai-Borwein-like method  Feasible  Adaptive nonmonotone line search  Low-rank correlation matrix  Kohn-Sham total energy minimization  Heterogeneous quadratic functions