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Positive semidefinite penalty method for quadratically constrained quadratic programming 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 卷号: 41, 期号: 4, 页码: 2488-2515
Authors:  Gu, Ran;  Du, Qiang;  Yuan, Ya-xiang
Favorite  |  View/Download:34/0  |  Submit date:2022/04/02
quadratically constrained quadratic programming  semidefinite programming  semidefinite relaxation  penalty function  
STOCHASTIC TRUST-REGION METHODS WITH TRUST-REGION RADIUS DEPENDING ON PROBABILISTIC MODELS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 页码: 41
Authors:  Wang, Xiaoyu;  Yuan, Ya-xiang
Favorite  |  View/Download:34/0  |  Submit date:2022/04/02
Trust-region methods  Stochastic optimization  Probabilistic models  Trust region radius  Global convergence  
Metrically regular mappings and its application to convergence analysis of a confined Newton-type method for nonsmooth generalized equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 页码: 22
Authors:  Rashid, Mohammed Harunor;  Yuan, Ya-xiang
Favorite  |  View/Download:61/0  |  Submit date:2020/05/24
set-valued mappings  generalized equations  metrically regular mapping  semilocal convergence  point-based approximation  
Stochastic proximal quasi-Newton methods for non-convex composite optimization 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2019, 卷号: 34, 期号: 5, 页码: 922-948
Authors:  Wang, Xiaoyu;  Wang, Xiao;  Yuan, Ya-xiang
Favorite  |  View/Download:76/0  |  Submit date:2020/01/10
Non-convex composite optimization  Polyak-Lojasiewicz (PL) inequality  stochastic gradient  stochastic variance reduction gradient  symmetric rank one method  rank one proximity operator  complexity bound