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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：73/0  |  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：108/0  |  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：184/0  |  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：127/0  |  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  
COEXISTENCE OF PERIOD 2 AND 3 CAUSTICS FOR DEFORMATIVE NEARLY CIRCULAR BILLIARD MAPS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 卷号: 39, 期号: 11, 页码: 6419-6440
作者:  Zhang, Jianlu
收藏  |  浏览/下载：248/0  |  提交时间：2020/01/10
Convex billiard map  caustic  trigonometric polynomial  analytic function  nearly circular deformation  generating function  
Characterizations of semi-prequasi-invexity 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2014, 卷号: 27, 期号: 5, 页码: 1008-1026
作者:  Zhao Yingxue;  Meng Xiaoge;  Qiao Han;  Wang Shouyang;  Coladas Uria Luis
收藏  |  浏览/下载：106/0  |  提交时间：2021/01/14
PREINVEX FUNCTIONS  GENERALIZED CONVEXITY  SETS  Convex programming  dense  semi-prequasi-invex function  strictly semi-prequasi-invex function  strongly semi-prequasi-invex function  
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：117/0  |  提交时间：2018/07/30
Uncertainty modeling  Interval data  Piecewise polynomial interpolation  Spline function  Semi-infinite convex optimization  
Geometric dual formulation for first-derivative-based univariate cubic L-1 splines 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2008, 卷号: 40, 期号: 4, 页码: 589-621
作者:  Zhao, Y. B.;  Fang, S. -C.;  Lavery, J. E.
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
conjugate function  convex program  cubic L-1 spline  shape-preserving interpolation  piecewise polynomial  
Convex-monotone functions and generalized solution of parabolic Monge-Ampere equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 卷号: 186, 期号: 2, 页码: 558-571
作者:  Chen, L;  Wang, GL;  Lian, SZ
收藏  |  浏览/下载：77/0  |  提交时间：2018/07/30
convex-monotone function  generalized solution  supporting plane  
On a conjecture in Moreau-Yosida approximation of a nonsmooth convex function 期刊论文
CHINESE SCIENCE BULLETIN, 1997, 卷号: 42, 期号: 17, 页码: 1423-1426
作者:  Sun, DF;  Han, JY
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
convex function  Moreau-Yosida approximation  piecewise smooth