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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
Favorite  |  View/Download:88/0  |  Submit date:2023/02/07
Distributed non-convex optimization  Machine learning  Momentum methods  Optimization algorithms  Convergence rate  
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.
Favorite  |  View/Download:71/0  |  Submit date: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
Authors:  Yu, Tengteng;  Liu, Xin-Wei;  Dai, Yu-Hong;  Sun, Jie
Favorite  |  View/Download:113/0  |  Submit date: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
Authors:  Yu, Tengteng;  Liu, Xin-Wei;  Dai, Yu-Hong;  Sun, Jie
Favorite  |  View/Download:162/0  |  Submit date: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
Authors:  Zhang, Keke;  Liu, Hongwei;  Liu, Zexian
Favorite  |  View/Download:137/0  |  Submit date:2021/01/14
Conjugate gradient method  Nonmonotone line search  Subspace minimization  Sufficient descent condition  Global convergence  
EXACT PENALTY FUNCTION FOR \ell2,1 NORM MINIMIZATION OVER THE STIEFEL MANIFOLD 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2021, 卷号: 31, 期号: 4, 页码: 3097-3126
Authors:  Xiao, Nachuan;  Liu, Xin;  Ya-Xiang Yuan
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orthogonality constraint  Stiefel manifold  nonsmooth optimization  augmented Lagrangian method  
New subspace minimization conjugate gradient methods based on regularization model for unconstrained optimization 期刊论文
NUMERICAL ALGORITHMS, 2020, 页码: 34
Authors:  Zhao, Ting;  Liu, Hongwei;  Liu, Zexian
Favorite  |  View/Download:135/0  |  Submit date:2021/01/14
Conjugate gradient method  p-regularization model  Subspace technique  Nonmonotone line search  Unconstrained optimization  
A phase field framework for dynamic adiabatic shear banding 期刊论文
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2020, 卷号: 135, 页码: 19
Authors:  Xu, Yun;  Ming, Pingbing;  Chen, Jun
Favorite  |  View/Download:161/0  |  Submit date:2020/05/24
Phase field  Variational formulation  Adiabatic shear bands  Strain gradient theory  Finite element simulation  
SOLVING SYSTEMS OF QUADRATIC EQUATIONS VIA EXPONENTIAL-TYPE GRADIENT DESCENT ALGORITHM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2020, 卷号: 38, 期号: 4, 页码: 638-660
Authors:  Huang, Meng;  Xu, Zhiqiang
Favorite  |  View/Download:139/0  |  Submit date:2020/05/24
Low-rank matrix recovery  Non-convex optimization  Phase retrieval  
A NOVEL LEAST SQUARES METHOD FOR HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 5, 页码: 3091-3123
Authors:  Hu, Qiya;  Song, Rongrong
Favorite  |  View/Download:140/0  |  Submit date:2021/01/14
Helmholtz equations  inhomogeneous media  large wave number  auxiliary unknowns  least squares  error estimates  preconditioner