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ADAPTIVE LOW-NONNEGATIVE-RANK APPROXIMATION FOR STATE AGGREGATION OF MARKOV CHAINS 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020, 卷号: 41, 期号: 1, 页码: 244-278
Authors:  Duan, Yaqi;  Wang, Mengdi;  Wen, Zaiwen;  Yuan, Yaxiang
Favorite  |  View/Download:9/0  |  Submit date:2020/09/23
Markov chain  state aggregation  nonnegative matrix factorization  atomic norm  proximal alternating linearized minimization  
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:3/0  |  Submit date:2021/01/14
Convergence  First-order-type algorithms  Manifold optimization  Retraction  Second-order-type algorithms  
优化算法的复杂度分析 期刊论文
中国科学. 数学, 2020, 卷号: 50, 期号: 9, 页码: 1271-1336
Authors:  王奇超;  文再文;  蓝光辉;  袁亚湘
Favorite  |  View/Download:3/0  |  Submit date:2021/01/14
optimization method  complexity analysis  accelerated gradient method  conditional gradient method  stochastic optimization method  优化算法  复杂度分析  加速梯度法  条件梯度法  随机优化算法  
A subspace SQP method for equality constrained optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 卷号: 74, 期号: 1, 页码: 177-194
Authors:  Lee, Jae Hwa;  Jung, Yoon Mo;  Yuan, Ya-xiang;  Yun, Sangwoon
Favorite  |  View/Download:22/0  |  Submit date:2020/01/10
Equality constrained optimization  SQP method  Large scale problems  Subspace techniques  Damped limited-memory BFGS update  
Parameter Estimation and Variable Selection for Big Systems of Linear Ordinary Differential Equations: A Matrix-Based Approach 期刊论文
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2019, 卷号: 114, 期号: 526, 页码: 657-667
Authors:  Wu, Leqin;  Qiu, Xing;  Yuan, Ya-xiang;  Wu, Hulin
Favorite  |  View/Download:28/0  |  Submit date:2020/01/10
Complex system  Eigenvalue updating algorithm  High dimension  Matrix-based variable selection  Ordinary differential equation  Separable least squares  
A new piecewise quadratic approximation approach for L-0 norm minimization problem 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 卷号: 62, 期号: 1, 页码: 185-204
Authors:  Li, Qian;  Bai, Yanqin;  Yu, Changjun;  Yuan, Ya-xiang
Favorite  |  View/Download:23/0  |  Submit date:2019/03/05
sparse optimization  non-convex approximation  iterative thresholding algorithm  
STRUCTURED QUASI-NEWTON METHODS FOR OPTIMIZATION WITH ORTHOGONALITY CONSTRAINTS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: A2239-A2269
Authors:  Hu, Jiang;  Jiang, Bo;  Lin, Lin;  Wen, Zaiwen;  Yuan, Ya-Xiang
Favorite  |  View/Download:24/0  |  Submit date:2020/01/10
optimization with orthogonality constraints  structured quasi-Newton method  limited-memory Nystrom approximation  Hartree-Fock total energy minimization  
apartialfirstorderaffinescalingmethod 期刊论文
actamathematicasinicaenglishseries, 2019, 卷号: 35, 期号: 1, 页码: 1
Authors:  Gu Ran;  Yuan Yaxiang
Favorite  |  View/Download:17/0  |  Submit date:2020/01/10
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:24/0  |  Submit date:2018/07/30
orthogonality constraint  Stiefel manifold  Householder transformation  gradient projection  block coordinate descent  
SNIG PROPERTY OF MATRIX LOW-RANK FACTORIZATION MODEL 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 3, 页码: 374-390
Authors:  Wang, Hong;  Liu, Xin;  Chen, Xiaojun;  Yuan, Ya-xiang
Favorite  |  View/Download:36/0  |  Submit date:2019/03/05
Low rank factorization  Nonconvex optimization  Second-order optimality condition  Global minimizer