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New Laplacian comparison theorem and its applications to diffusion processes on Riemannian manifolds 期刊论文
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2022, 页码: 24
Authors:  Kuwae, Kazuhiro;  Li, Xiang-Dong
Favorite  |  View/Download:60/0  |  Submit date:2022/04/29
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:45/0  |  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  
Topology of tensor ranks 期刊论文
ADVANCES IN MATHEMATICS, 2020, 卷号: 367, 页码: 46
Authors:  Comon, Pierre;  Lim, Lek-Heng;  Qi, Yang;  Ye, Ke
Favorite  |  View/Download:74/0  |  Submit date:2020/05/24
Border rank  Symmetric rank  Multilinear rank  Path-connectedness  Homotopy groups  Bott periodicity  
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:77/0  |  Submit date:2020/09/23
dual principal component pursuit  orthogonality constraint  sparse dictionary learning  stiefel manifold  
Identifying weak focus and center in a convection model 期刊论文
APPLIED MATHEMATICS LETTERS, 2020, 卷号: 100, 页码: 7
Authors:  Guo, Laigang;  Yu, Pei;  Chen, Yufu
Favorite  |  View/Download:64/0  |  Submit date:2020/05/24
Convection model  3-dimensional quadratic system  Normal form  Limit cycle  
SCALAR CURVATURE ON COMPACT COMPLEX MANIFOLDS 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 卷号: 371, 期号: 3, 页码: 2073-2087
Authors:  Yang, Xiaokui
Favorite  |  View/Download:90/0  |  Submit date:2019/03/05
C-1 WEAK PALIS CONJECTURE FOR NONSINGULAR FLOWS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 卷号: 38, 期号: 4, 页码: 1809-1832
Authors:  Xiao, Qianying;  Zheng, Zuohuan
Favorite  |  View/Download:94/0  |  Submit date:2019/12/13
Nonsingular flow  Morse-Smale system  away from horseshoe  linear Poincare flow  central model  
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:83/0  |  Submit date:2018/07/30
orthogonality constraint  Stiefel manifold  Householder transformation  gradient projection  block coordinate descent  
AN EXTENSION OF A THEOREM OF WU-YAU 期刊论文
JOURNAL OF DIFFERENTIAL GEOMETRY, 2017, 卷号: 107, 期号: 3, 页码: 573-579
Authors:  Tosatti, Valentino;  Yang, Xiaokui
Favorite  |  View/Download:49/0  |  Submit date:2018/07/30