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LARGE N LIMIT OF THE O(N) LINEAR SIGMA MODEL VIA STOCHASTIC QUANTIZATION 期刊论文
ANNALS OF PROBABILITY, 2022, 卷号: 50, 期号: 1, 页码: 131-202
作者:  Shen, Hao;  Smith, Scott A.;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载:143/0  |  提交时间:2022/04/29
O(N) linear sigma model  Phi(4)  mean-field limit  stochastic quantization  space-time white noise  
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 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
作者:  Shen, Yuan;  Liu, Xin
收藏  |  浏览/下载:179/0  |  提交时间:2020/05/24
Matrix completion  symmetric low rank product minimization  singular value decomposition  alternating minimization  
LOW-RANK MATRIX ITERATION USING POLYNOMIAL-FILTERED SUBSPACE EXTRACTION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 3, 页码: A1686-A1713
作者:  Li, Yongfeng;  Liu, Haoyang;  Wen, Zaiwen;  Yuan, Ya-Xiang
收藏  |  浏览/下载:144/0  |  提交时间:2020/09/23
low-rank matrix iteration  eigenvalue decomposition  inexact optimization method  polynomial filter  subspace extraction  
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
作者:  Shen, Yuan;  Xu, Hongyu;  Liu, Xin
收藏  |  浏览/下载:187/0  |  提交时间:2020/01/10
Robust principal component analysis  symmetric low rank product minimization  singular value decomposition  alternating minimization  
Global entropy solutions to multi-dimensional isentropic gas dynamics with spherical symmetry 期刊论文
NONLINEARITY, 2019, 卷号: 32, 期号: 11, 页码: 4505-4523
作者:  Huang, Feimin;  Li, Tianhong;  Yuan, Difan
收藏  |  浏览/下载:185/0  |  提交时间:2020/05/24
isentropic gas  compensated compactness  uniform estimate  
Symmetric rank-1 approximation of symmetric high-order tensors 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2019, 页码: 23
作者:  Wu, Leqin;  Liu, Xin;  Wen, Zaiwen
收藏  |  浏览/下载:131/0  |  提交时间:2020/05/24
Rank-1 approximation  symmetric tensor  proximal alternating linearized minimization  Bose?Einstein condensate  
Vanishing Viscosity Limit to the Planar Rarefaction Wave for the Two-Dimensional Compressible Navier-Stokes Equations 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019, 页码: 32
作者:  Li, Lin-An;  Wang, Dehua;  Wang, Yi
收藏  |  浏览/下载:178/0  |  提交时间:2020/05/24
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
作者:  Liu, Ya-Feng;  Liu, Xin;  Ma, Shiqian
收藏  |  浏览/下载:174/0  |  提交时间:2020/01/10
inexact augmented Lagrangian framework  nonergodic convergence rate  composite convex programming