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A GENERAL TWO-LEVEL SUBSPACE METHOD FOR NONLINEAR OPTIMIZATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 6, 页码: 881-902
Authors:  Chen, Chong;  Wen, Zaiwen;  Yuan, Yaxiang
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Nonlinear optimization  Convex and nonconvex problems  Subspace technique  Multigrid/multilevel method  Large-scale problems  
AN AUGMENTED LAGRANGIAN TRUST REGION METHOD WITH A BI-OBJECT STRATEGY 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 3, 页码: 331-350
Authors:  Kou, Caixia;  Chen, Zhongwen;  Dai, Yu-Hong;  Han, Haifei
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Nonlinear constrained optimization  Augmented Lagrangian function  Bi-object strategy  Global convergence  
Convex optimization learning of faithful Euclidean distance representations in nonlinear dimensionality reduction 期刊论文
MATHEMATICAL PROGRAMMING, 2017, 卷号: 164, 期号: 1-2, 页码: 341-381
Authors:  Ding, Chao;  Qi, Hou-Duo
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Euclidean distance matrix  Convex matrix optimization  Multidimensional scaling  Nonlinear dimensionality reduction  Low-rank matrix  Error bounds  Random graph models  
DISTRIBUTED CLASSIFICATION LEARNING BASED ON NONLINEAR VECTOR SUPPORT MACHINES FOR SWITCHING NETWORKS 期刊论文
KYBERNETIKA, 2017, 卷号: 53, 期号: 4, 页码: 595-611
Authors:  Wang, Yinghui;  Lin, Peng;  Qin, Huashu
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nonlinear support vector machine  multi-agent system  distributed optimization  connectivity  
A derivative-free trust-region algorithm for composite nonsmooth optimization 期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2016, 卷号: 35, 期号: 2, 页码: 475-499
Authors:  Grapiglia, Geovani Nunes;  Yuan, Jinyun;  Yuan, Ya-xiang
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Nonsmooth optimization  Nonlinear programming  Trust-region methods  Derivative-free optimization  Global convergence  Worst-case complexity  
A line search exact penalty method with bi-object strategy for nonlinear constrained optimization 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 卷号: 300, 页码: 245-258
Authors:  Chen, Zhongwen;  Dai, Yu-Hong
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Nonlinear constrained optimization  Exact penalty methods  Bi-object strategy  Global convergence  
Distributed Optimization for a Class of Nonlinear Multiagent Systems With Disturbance Rejection 期刊论文
IEEE TRANSACTIONS ON CYBERNETICS, 2016, 卷号: 46, 期号: 7, 页码: 1655-1666
Authors:  Wang, Xinghu;  Hong, Yiguang;  Ji, Haibo
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Distributed optimization  disturbance rejection  internal model (IM)  multiagent systems  nonlinear systems  
Approximate proper efficiency in vector optimization 期刊论文
OPTIMIZATION, 2015, 卷号: 64, 期号: 8, 页码: 1777-1793
Authors:  Zhao, Kequan;  Chen, Guangya;  Yang, Xinmin
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nonlinear scalarization  linear scalarization  vector optimization  approximate solutions  approximate proper efficient solutions  90C26  90C29  90C30  90C46  
Recent advances in trust region algorithms 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 151, 期号: 1, 页码: 249-281
Authors:  Yuan, Ya-xiang
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Trust region algorithms  Nonlinear optimization  Subproblem  Complexity  Convergence  
A null-space primal-dual interior-point algorithm for nonlinear optimization with nice convergence properties 期刊论文
MATHEMATICAL PROGRAMMING, 2010, 卷号: 125, 期号: 1, 页码: 163-193
Authors:  Liu, Xinwei;  Yuan, Yaxiang
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Global and local convergences  Null-space technique  Primal-dual interior-point methods  Nonlinear optimization with inequality and equality constraints