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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：87/0  |  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  
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：141/0  |  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  
Stochastic Variance Reduced Gradient Methods Using a Trust-Region-Like Scheme 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 87, 期号: 1, 页码: 24
作者:  Yu, Tengteng;  Liu, Xin-Wei;  Dai, Yu-Hong;  Sun, Jie
收藏  |  浏览/下载：180/0  |  提交时间：2021/04/26
Stochastic variance reduced gradient  Trust region  Barzilai-Borwein stepsizes  Mini-batches  Empirical risk minimization  90C06  90C30  90C90  90C25  
A NEW ADAPTIVE SUBSPACE MINIMIZATION THREE-TERM CONJUGATE GRADIENT ALGORITHM FOR UNCONSTRAINED OPTIMIZATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 卷号: 39, 期号: 2, 页码: 159-177
作者:  Zhang, Keke;  Liu, Hongwei;  Liu, Zexian
收藏  |  浏览/下载：153/0  |  提交时间：2021/01/14
Conjugate gradient method  Nonmonotone line search  Subspace minimization  Sufficient descent condition  Global convergence  
GRADIENT FLOW BASED KOHN-SHAM DENSITY FUNCTIONAL THEORY MODEL 期刊论文
MULTISCALE MODELING & SIMULATION, 2020, 卷号: 18, 期号: 4, 页码: 1621-1663
作者:  Dai, Xiaoying;  Wang, Qiao;  Zhou, Aihui
收藏  |  浏览/下载：134/0  |  提交时间：2021/04/26
density functional theory  dynamical system  gradient flow  orthogonality preserving  eigenvalue problem  energy minimization  
A Gradient-Enhanced l(1) Approach for the Recovery of Sparse Trigonometric Polynomials 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 1, 页码: 286-308
作者:  Xu, Zhiqiang;  Zhou, Tao
收藏  |  浏览/下载：182/0  |  提交时间：2019/03/05
Gradient-enhanced l(1) minimization  compressed sensing  sparse Fourier expansions  restricted isometry property  mutual incoherence  
Strong convergence and bounded perturbation resilience of a modified proximal gradient algorithm 期刊论文
Journal of Inequalities and Applications, 2018, 卷号: 2018, 期号: 1
作者:  Guo,Yanni;  Cui,Wei
收藏  |  浏览/下载：166/0  |  提交时间：2018/07/30
Strong convergence  Bounded perturbation resilience  Modified proximal gradient algorithm  Viscosity approximation  Convex minimization problem  
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：163/0  |  提交时间：2018/07/30
Convex composite optimization  Empirical risk minimization  Stochastic gradient  Inexact methods  Global convergence  Complexity bound  
A Barzilai-Borwein conjugate gradient method 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 8, 页码: 1511-1524
作者:  Dai YuHong;  Kou CaiXia
收藏  |  浏览/下载：141/0  |  提交时间：2018/07/30
conjugate gradient method  subspace minimization  Barzilai-Bowein gradient method  line search  descent property  global convergence  
Accelerated Mann and CQ algorithms for finding a fixed point of a nonexpansive mapping 期刊论文
Fixed Point Theory and Applications, 2015, 卷号: 2015, 期号: 1
作者:  Dong,Qiao-Li;  Yuan,Han-bo
收藏  |  浏览/下载：126/0  |  提交时间：2018/07/30
nonexpansive mapping  convex minimization problem  Picard algorithm  Mann algorithm  CQ algorithm  conjugate gradient method  steepest descent method