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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:31/0  |  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  
A Novel Sparse Graph-Regularized Singular Value Decomposition Model and Its Application to Genomic Data Analysis 期刊论文
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2021, 页码: 15
Authors:  Min, Wenwen;  Wan, Xiang;  Chang, Tsung-Hui;  Zhang, Shihua
Favorite  |  View/Download:49/0  |  Submit date:2022/04/02
Gene expression  Biology  Biological system modeling  Principal component analysis  Mathematical model  Data models  Big Data  Absolute-valued graph regularization  graph regularization  sparse learning  structured sparse singular value decomposition (SVD)  
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
Favorite  |  View/Download:36/0  |  Submit date:2022/04/02
orthogonality constraint  Stiefel manifold  nonsmooth optimization  augmented Lagrangian method  
SHARP REGULARITY ESTIMATES FOR SOLUTIONS OF THE CONTINUITY EQUATION DRIFTED BY SOBOLEV VECTOR FIELDS 期刊论文
ANALYSIS & PDE, 2021, 卷号: 14, 期号: 8, 页码: 2539-2559
Authors:  Brue, Elia;  Quoc-Hung Nguyen
Favorite  |  View/Download:30/0  |  Submit date:2022/04/02
ordinary differential equations with nonsmooth vector fields  continuity equation  transport equation  regular Lagrangian flow  BV function  log-Sobolev space  Bressan's mixing conjecture  
Distributed Continuous-Time Nonsmooth Convex Optimization With Coupled Inequality Constraints 期刊论文
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2020, 卷号: 7, 期号: 1, 页码: 74-84
Authors:  Li, Xiuxian;  Xie, Lihua;  Hong, Yiguang
Favorite  |  View/Download:69/0  |  Submit date:2020/05/24
Continuous-time algorithms  coupled inequality constraints  distributed convex optimization  multiagent networks  nonsmooth analysis  
Metrically regular mappings and its application to convergence analysis of a confined Newton-type method for nonsmooth generalized equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 页码: 22
Authors:  Rashid, Mohammed Harunor;  Yuan, Ya-xiang
Favorite  |  View/Download:61/0  |  Submit date:2020/05/24
set-valued mappings  generalized equations  metrically regular mapping  semilocal convergence  point-based approximation  
Adaptive Exact Penalty Design for Constrained Distributed Optimization 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 卷号: 64, 期号: 11, 页码: 4661-4667
Authors:  Zhou, Hongbing;  Zeng, Xianlin;  Hong, Yiguang
Favorite  |  View/Download:53/0  |  Submit date:2020/05/24
Optimization  Distributed algorithms  Linear programming  Convex functions  Adaptive control  Convergence  Adaptive algorithms  Adaptive algorithm  convex and nondifferentiable function  distributed optimization  exact penalty method  
Distributed continuous-time algorithm for a general nonsmooth monotropic optimization problem 期刊论文
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 卷号: 29, 期号: 10, 页码: 3252-3266
Authors:  Li, Xiuxian;  Xie, Lihua;  Hong, Yiguang
Favorite  |  View/Download:80/0  |  Submit date:2020/01/10
continuous-time networks  distributed convex optimization  general monotropic optimization problems  nonsmooth analysis  
On the Nonergodic Convergence Rate of an Inexact Augmented Lagrangian Framework for Composite Convex Programming 期刊论文
MATHEMATICS OF OPERATIONS RESEARCH, 2019, 卷号: 44, 期号: 2, 页码: 632-650
Authors:  Liu, Ya-Feng;  Liu, Xin;  Ma, Shiqian
Favorite  |  View/Download:82/0  |  Submit date:2020/01/10
inexact augmented Lagrangian framework  nonergodic convergence rate  composite convex programming  
Generalized Nash equilibrium seeking strategy for distributed nonsmooth multi-cluster game 期刊论文
AUTOMATICA, 2019, 卷号: 103, 页码: 20-26
Authors:  Zeng, Xianlin;  Chen, Jie;  Liang, Shu;  Hong, Yiguang
Favorite  |  View/Download:76/0  |  Submit date:2020/01/10
Distributed algorithm  GNE seeking  Nonsmooth function  Multi-cluster game  Set constraint  Coupled nonlinear inequality constraint