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Understanding the acceleration phenomenon via high-resolution differential equations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 卷号: 195, 期号: 1-2, 页码: 79-148
作者:  Shi, Bin;  Du, Simon S.;  Jordan, Michael, I;  Su, Weijie J.
收藏  |  浏览/下载:113/0  |  提交时间:2023/02/07
Convex optimization  First-order method  Polyak's heavy ball method  Nesterov's accelerated gradient methods  Ordinary differential equation  Lyapunov function  Gradient minimization  
The augmented lagrangian method can approximately solve convex optimization with least constraint violation 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 35
作者:  Dai, Yu-Hong;  Zhang, Liwei
收藏  |  浏览/下载:150/0  |  提交时间:2023/02/07
Convex optimization  Least constraint violation  Augmented Lagrangian method  Shifted problem  Optimal value mapping  Solution mapping  Dual function  Conjugate dual  
Study on convex optimization with least constraint violation under a general measure 期刊论文
OPTIMIZATION, 2022, 页码: 32
作者:  Dai, Yu-Hong;  Zhang, Liwei
收藏  |  浏览/下载:289/0  |  提交时间:2023/02/07
Convex optimization  measure function  least constraint violation  augmented Lagrangian method  shifted problem  
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
作者:  Zhou, Hongbing;  Zeng, Xianlin;  Hong, Yiguang
收藏  |  浏览/下载:161/0  |  提交时间:2020/05/24
Optimization  Distributed algorithms  Linear programming  Convex functions  Adaptive control  Convergence  Adaptive algorithms  Adaptive algorithm  convex and nondifferentiable function  distributed optimization  exact penalty method  
An Inverse Power Generation Mechanism Based Fruit Fly Algorithm for Function Optimization 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 卷号: 32, 期号: 2, 页码: 634-656
作者:  Liu Ao;  Deng Xudong;  Ren Liang;  Liu Ying;  Liu Bo
收藏  |  浏览/下载:216/0  |  提交时间:2020/01/10
Evolutionary algorithms  fruit fly optimization  function optimization  meta-heuristics  
Distributed Nonsmooth Optimization With Coupled Inequality Constraints via Modified Lagrangian Function 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 卷号: 63, 期号: 6, 页码: 1753-1759
作者:  Liang, Shu;  Zeng, Xianlin;  Hong, Yiguang
收藏  |  浏览/下载:178/0  |  提交时间:2018/07/30
Coupled constraint  distributed optimization  modified Lagrangian function  nonsmooth analysis  primal-dual dynamics  
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
作者:  Kou, Caixia;  Chen, Zhongwen;  Dai, Yu-Hong;  Han, Haifei
收藏  |  浏览/下载:174/0  |  提交时间:2019/03/05
Nonlinear constrained optimization  Augmented Lagrangian function  Bi-object strategy  Global convergence  
QUADRATIC GROWTH CONDITIONS FOR CONVEX MATRIX OPTIMIZATION PROBLEMS ASSOCIATED WITH SPECTRAL FUNCTIONS 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2017, 卷号: 27, 期号: 4, 页码: 2332-2355
作者:  Cui, Ying;  Ding, Chao;  Zhao, Xinyuan
收藏  |  浏览/下载:187/0  |  提交时间:2018/07/30
matrix optimization  spectral functions  quadratic growth conditions  metric sub regularity  augmented Lagrangian function  fast convergence rates  
Robust univariate spline models for interpolating interval data 期刊论文
OPERATIONS RESEARCH LETTERS, 2011, 卷号: 39, 期号: 1, 页码: 62-66
作者:  Averbakh, Igor;  Zhao, Yun-Bin
收藏  |  浏览/下载:152/0  |  提交时间:2018/07/30
Uncertainty modeling  Interval data  Piecewise polynomial interpolation  Spline function  Semi-infinite convex optimization  
A cut-peak function method for global optimization 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 230, 期号: 1, 页码: 135-142
作者:  Wang, Yuncheng;  Fang, Weiwu;  Wu, Tianjiao
收藏  |  浏览/下载:131/0  |  提交时间:2018/07/30
Global optimization  Cut-peak function  Box constrained minimization problem  Smoothing technique