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Adaptive Exact Penalty Design for Constrained Distributed Optimization 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 卷号: 64, 期号: 11, 页码: 4661-4667
Authors:  Zhou, Hongbing;  Zeng, Xianlin;  Hong, Yiguang
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Optimization  Distributed algorithms  Linear programming  Convex functions  Adaptive control  Convergence  Adaptive algorithms  Adaptive algorithm  convex and nondifferentiable function  distributed optimization  exact penalty method  
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
Authors:  Liu, Ya-Feng;  Liu, Xin;  Ma, Shiqian
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inexact augmented Lagrangian framework  nonergodic convergence rate  composite convex programming  
PENALTY METHODS WITH STOCHASTIC APPROXIMATION FOR STOCHASTIC NONLINEAR PROGRAMMING 期刊论文
MATHEMATICS OF COMPUTATION, 2017, 卷号: 86, 期号: 306, 页码: 1793-1820
Authors:  Wang, Xiao;  Ma, Shiqian;  Yuan, Ya-Xiang
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Stochastic programming  nonlinear programming  stochastic approximation  penalty method  global complexity bound  
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 smoothing SQP framework for a class of composite minimization over polyhedron 期刊论文
MATHEMATICAL PROGRAMMING, 2016, 卷号: 158, 期号: 1-2, 页码: 467-500
Authors:  Liu, Ya-Feng;  Ma, Shiqian;  Dai, Yu-Hong;  Zhang, Shuzhong
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Composite L-q minimization  epsilon-KKT point  Nonsmooth nonconvex non-Lipschitzian optimization  Optimality condition  Smoothing approximation  Worst-case iteration complexity  
On the convergence and worst-case complexity of trust-region and regularization methods for unconstrained optimization 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 152, 期号: 1-2, 页码: 491-520
Authors:  Grapiglia, Geovani N.;  Yuan, Jinyun;  Yuan, Ya-xiang
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Global convergence  Worst-case complexity  Trust-region methods  Regularization methods  Unconstrained Optimization  Composite nonsmooth optimization  Multiobjective optimization  
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 Trust Region Algorithm for Solving Bilevel Programming Problems 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2013, 卷号: 29, 期号: 3, 页码: 491-498
Authors:  Liu Guoshan;  Xu Shiqin;  Han Jiye
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NONSMOOTH OPTIMIZATION  CONVERGENCE  Bilevel programming problem  trust region algorithm  global convergence  mathematical program with equilibrium constraints  stationary point  
Gap function for set-valued vector variational-like inequalities 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 卷号: 138, 期号: 1, 页码: 77-84
Authors:  Mishra, S. K.;  Wang, S. Y.;  Lai, K. K.
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vector variational-like inequalities  set-valued mappings  gap functions  existence of a solution  semidefinite programming  
Duality in vector optimization in Banach spaces with generalized convexity 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2004, 卷号: 29, 期号: 4, 页码: 415-424
Authors:  Mishra, SK;  Giorgi, G;  Wang, SY
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duality  nonsmooth programming  optimality conditions  type-I functions  vector optimization