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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
作者:  Xiao, Nachuan;  Liu, Xin;  Ya-Xiang Yuan
收藏  |  浏览/下载：104/0  |  提交时间：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
作者:  Xiao, Nachuan;  Liu, Xin;  Yuan, Ya-xiang
收藏  |  浏览/下载：149/0  |  提交时间：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
作者:  Hu, Xiaoyin;  Liu, Xin
收藏  |  浏览/下载：155/0  |  提交时间：2020/09/23
dual principal component pursuit  orthogonality constraint  sparse dictionary learning  stiefel manifold  
Improve the spectral clustering by integrating a new modularity similarity index and out-of-sample extension 期刊论文
MODERN PHYSICS LETTERS B, 2020, 卷号: 34, 期号: 11, 页码: 12
作者:  Shen, Dongqin;  Li, Xiuyi;  Yan, Guan
收藏  |  浏览/下载：150/0  |  提交时间：2020/06/30
Spectral clustering  out-of-sample  modularity  similarity measure  
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
作者:  Gao, Bin;  Liu, Xin;  Chen, Xiaojun;  Yuan, Ya-Xiang
收藏  |  浏览/下载：160/0  |  提交时间：2018/07/30
orthogonality constraint  Stiefel manifold  Householder transformation  gradient projection  block coordinate descent  
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
作者:  Jiang, Bo;  Dai, Yu-Hong
收藏  |  浏览/下载：115/0  |  提交时间：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  
Some methods for generating both an NT-net and the uniform distribution on a Stiefel manifold and their applications 期刊论文
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 1997, 卷号: 24, 期号: 1, 页码: 29-46
作者:  Fang, KT;  Li, RZ
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
Givens transform  householder transform  number-theoretic method  spherical distribution  Stiefel manifold  test of spherical symmetry  
THE CHARACTERISTIC FUNCTIONS OF SPHERICAL MATRIX DISTRIBUTIONS 期刊论文
STATISTICS & PROBABILITY LETTERS, 1993, 卷号: 17, 期号: 4, 页码: 273-279
作者:  LI, RZ
收藏  |  浏览/下载：88/0  |  提交时间：2018/07/30
CHARACTERISTIC FUNCTION  KOTZS TYPE SPHERICAL MATRIX DISTRIBUTION  PEARSON TYPE-II SPHERICAL MATRIX DISTRIBUTION  SPHERICAL MATRIX DISTRIBUTION