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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：71/0  |  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  
On the acceleration of the Barzilai-Borwein method 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2022, 页码: 24
作者:  Huang, Yakui;  Dai, Yu-Hong;  Liu, Xin-Wei;  Zhang, Hongchao
收藏  |  浏览/下载：138/0  |  提交时间：2022/04/02
Barzilai-Borwein method  Gradient methods  Finite termination  Quadratic optimization  
On the Asymptotic Convergence and Acceleration of Gradient Methods 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 90, 期号: 1, 页码: 29
作者:  Huang, Yakui;  Dai, Yu-Hong;  Liu, Xin-Wei;  Zhang, Hongchao
收藏  |  浏览/下载：171/0  |  提交时间：2022/04/02
Gradient methods  Asymptotic convergence  Spectral property  Acceleration of gradient methods  Barzilai-Borwein method  Unconstrained optimization  Quadratic optimization  
A Minibatch Proximal Stochastic Recursive Gradient Algorithm Using a Trust-Region-Like Scheme and Barzilai-Borwein Stepsizes 期刊论文
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2021, 卷号: 32, 期号: 10, 页码: 4627-4638
作者:  Yu, Tengteng;  Liu, Xin-Wei;  Dai, Yu-Hong;  Sun, Jie
收藏  |  浏览/下载：113/0  |  提交时间：2022/04/02
Convergence  Convex functions  Risk management  Gradient methods  Learning systems  Sun  Barzilai-Borwein (BB) method  empirical risk minimization (ERM)  proximal method  stochastic gradient  trust-region  
Gradient estimates for nonlinear diffusion semigroups by coupling methods 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 16
作者:  Song, Yongsheng
收藏  |  浏览/下载：139/0  |  提交时间：2020/05/24
gradient estimates  coupling methods  G-expectation  nonlinear PDEs  
Gradient methods exploiting spectral properties 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2020, 页码: 25
作者:  Huang, Yakui;  Dai, Yu-Hong;  Liu, Xin-Wei;  Zhang, Hongchao
收藏  |  浏览/下载：146/0  |  提交时间：2020/05/24
Gradient methods  spectral property  Barizilai-Borwein method  linear convergence  quadratic optimization  bound constrained optimization  
Distributed optimisation design for solving the Stein equation with constraints 期刊论文
IET CONTROL THEORY AND APPLICATIONS, 2019, 卷号: 13, 期号: 15, 页码: 2492-2499
作者:  Chen, Guanpu;  Zeng, Xianlin;  Hong, Yiguang
收藏  |  浏览/下载：145/0  |  提交时间：2020/05/24
least squares approximations  gradient methods  convergence  matrix algebra  concave programming  multi-agent systems  distributed optimisation design  Stein equations  set constraints  rows  columns  coefficient matrices  equivalent distributed optimisation problem  projection-based algorithm  least-squares solution  constrained Stein equation  multiagent system network  simplified distributed algorithm  
Inexact proximal stochastic gradient method for convex composite optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2017, 卷号: 68, 期号: 3, 页码: 579-618
作者:  Wang, Xiao;  Wang, Shuxiong;  Zhang, Hongchao
收藏  |  浏览/下载：148/0  |  提交时间：2018/07/30
Convex composite optimization  Empirical risk minimization  Stochastic gradient  Inexact methods  Global convergence  Complexity bound  
Distributed optimisation design with triggers for disturbed continuous-time multi-agent systems 期刊论文
IET CONTROL THEORY AND APPLICATIONS, 2017, 卷号: 11, 期号: 2, 页码: 282-290
作者:  Deng, Zhenhua;  Wang, Xinghu;  Hong, Yiguang
收藏  |  浏览/下载：126/0  |  提交时间：2018/07/30
decentralised control  gradient methods  discrete time systems  optimisation  continuous time systems  multi-agent systems  external disturbance rejection  internal model design  event-triggered gradient measurement strategy  event-triggered communication strategy  time-triggered communication  distributed optimisation algorithm  discrete-time communication measurement  disturbed continuous-time multiagent systems  distributed optimisation design  
AN EFFICIENT GRADIENT PROJECTION METHOD FOR STOCHASTIC OPTIMAL CONTROL PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 6, 页码: 2982-3005
作者:  Gong, Bo;  Liu, Wenbin;  Tang, Tao;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：140/0  |  提交时间：2018/07/30
stochastic optimal control  gradient projection methods  backward stochastic differential equations  conditional expectations