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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  
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：143/0  |  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：180/0  |  提交时间：2022/04/02
Gradient methods  Asymptotic convergence  Spectral property  Acceleration of gradient methods  Barzilai-Borwein method  Unconstrained optimization  Quadratic optimization  
IMPROVED DISCRETE BOUNDARY TYPE SHAPE GRADIENTS FOR PDE-CONSTRAINED SHAPE OPTIMIZATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 卷号: 44, 期号: 4, 页码: A2464-A2505
作者:  Gong, Wei;  Li, Jiajie;  Zhu, Shengfeng
收藏  |  浏览/下载：75/0  |  提交时间：2023/02/07
shape optimization  shape gradient  boundary formulation  boundary correction  gradient recovery  finite element method  
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：117/0  |  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  
Hybrid Regularized Cone-Beam Reconstruction for Axially Symmetric Object Tomography 期刊论文
ACTA MATHEMATICA SCIENTIA, 2021, 页码: 17
作者:  Li, Xinge;  Wei, Suhua;  Xu, Haibo;  Chen, Chong
收藏  |  浏览/下载：108/0  |  提交时间：2022/04/02
high-energy X-ray radiography  cone-beam global reconstruction  inverse problem  total variation  alternating proximal gradient method  
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：140/0  |  提交时间：2021/01/14
Conjugate gradient method  Nonmonotone line search  Subspace minimization  Sufficient descent condition  Global convergence  
New subspace minimization conjugate gradient methods based on regularization model for unconstrained optimization 期刊论文
NUMERICAL ALGORITHMS, 2020, 页码: 34
作者:  Zhao, Ting;  Liu, Hongwei;  Liu, Zexian
收藏  |  浏览/下载：137/0  |  提交时间：2021/01/14
Conjugate gradient method  p-regularization model  Subspace technique  Nonmonotone line search  Unconstrained optimization  
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：147/0  |  提交时间：2020/05/24
Gradient methods  spectral property  Barizilai-Borwein method  linear convergence  quadratic optimization  bound constrained optimization  
An exact penalty method for semidefinite-box-constrained low-rank matrix optimization problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 1, 页码: 563-586
作者:  Liu, Tianxiang;  Lu, Zhaosong;  Chen, Xiaojun;  Dai, Yu-Hong
收藏  |  浏览/下载：122/0  |  提交时间：2020/09/23
rank constrained optimization  non-Lipschitz penalty  nonmonotone proximal gradient  penalty method