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SONC optimization and exact nonnegativity certificates via second-order cone programming 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 346-370
Authors:  Magron, Victor;  Wang, Jie
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Sum of nonnegative circuit polynomials  Second -order cone programming  Polynomial optimization  Sum of binomial squares  Rounding -projection algorithm  Exact nonnegativity certificate  
A NOVEL AUGMENTED LAGRANGIAN METHOD OF MULTIPLIERS FOR OPTIMIZATION WITH GENERAL INEQUALITY CONSTRAINTS 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 页码: 30
Authors:  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Ya-Kui;  Sun, Jie
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Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
Gradient-free algorithms for distributed online convex optimization 期刊论文
ASIAN JOURNAL OF CONTROL, 2022, 页码: 18
Authors:  Liu, Yuhang;  Zhao, Wenxiao;  Dong, Daoyi
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distributed algorithm  gradient-free algorithm  multiagent system  online convex optimization  
Certifying global optimality of AC-OPF solutions via sparse polynomial optimization 期刊论文
ELECTRIC POWER SYSTEMS RESEARCH, 2022, 卷号: 213, 页码: 9
Authors:  Wang, Jie;  Magron, Victor;  Lasserre, Jean B.
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Sparse moment-SOS hierarchy  CS-TSSOS hierarchy  Global optimality  Lasserre?s hierarchy  Large-scale polynomial optimization  Optimal power flow  
Distributed stochastic gradient tracking methods with momentum acceleration for non-convex optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2022, 页码: 42
Authors:  Gao, Juan;  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Yakui;  Gu, Junhua
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Distributed non-convex optimization  Machine learning  Momentum methods  Optimization algorithms  Convergence rate  
Multi-objective approaches to portfolio optimization with market impact costs 期刊论文
MEMETIC COMPUTING, 2022, 页码: 11
Authors:  Wang, Hongze;  Li, Xuerong;  Hong, Wenjing;  Tang, Ke
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Portfolio optimization  Market impact cost  Multi-objective optimization  Evolutionary computation  Memetic algorithm  
Optimality conditions for homogeneous polynomial optimization on the unit sphere 期刊论文
OPTIMIZATION LETTERS, 2022, 页码: 8
Authors:  Huang, Lei
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Homogeneous polynomials  Optimization on the unit sphere  Optimality conditions  
A semismooth Newton based augmented Lagrangian method for nonsmooth optimization on matrix manifolds 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 61
Authors:  Zhou, Yuhao;  Bao, Chenglong;  Ding, Chao;  Zhu, Jun
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Nonsmooth manifold optimization  Semismooth Newton method  Augmented Lagrangian method  Riemannian manifold  
Evolution of Controllers Under a Generalized Structure Encoding/Decoding Scheme With Application to Magnetic Levitation System 期刊论文
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2022, 卷号: 69, 期号: 9, 页码: 9655-9666
Authors:  Xin, Bin;  Wang, Yipeng;  Xue, Wenchao;  Cai, Tao;  Fan, Zhun;  Zhan, Jiaoyang;  Chen, Jie
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Optimization  Design methodology  Control systems  Tuning  Magnetic levitation  Signal processing  Periodic structures  Automatic design of controllers  disturbance-rejection  intelligent optimization algorithms  magnetic levitation system (MLS)  mixed-variable optimization  
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
Authors:  Shi, Bin;  Du, Simon S.;  Jordan, Michael, I;  Su, Weijie J.
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Convex optimization  First-order method  Polyak's heavy ball method  Nesterov's accelerated gradient methods  Ordinary differential equation  Lyapunov function  Gradient minimization