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Proximal-Like Incremental Aggregated Gradient Method with Linear Convergence Under Bregman Distance Growth Conditions 期刊论文
MATHEMATICS OF OPERATIONS RESEARCH, 2021, 卷号: 46, 期号: 1, 页码: 61-81
作者:  Zhang, Hui;  Dai, Yu-Hong;  Guo, Lei;  Peng, Wei
收藏  |  浏览/下载：179/0  |  提交时间：2021/04/26
incremental aggregated gradient  linear convergence  Lipschitz-like/convexity  relative smoothness  Bregman distance growth  
Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness 期刊论文
NEURAL NETWORKS, 2020, 卷号: 130, 页码: 85-99
作者:  Jin, Pengzhan;  Lu, Lu;  Tang, Yifa;  Karniadakis, George Em
收藏  |  浏览/下载：150/0  |  提交时间：2021/01/14
Neural networks  Generalization error  Learnability  Data distribution  Cover complexity  Neural network smoothness  
A low-dissipation third-order weighted essentially nonoscillatory scheme with a new reference smoothness indicator 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2020, 卷号: 92, 期号: 9, 页码: 1212-1234
作者:  Wang, Yahui;  Du, Yulong;  Zhao, Kunlei;  Yuan, Li
收藏  |  浏览/下载：176/0  |  提交时间：2020/09/23
Euler equation  hyperbolic conservation law  nonlinear weight  reference smoothness indicator  third-order accuracy  WENO  
Modified Stencil Approximations for Fifth-Order Weighted Essentially Non-oscillatory Schemes 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 2, 页码: 898-922
作者:  Wang, Yahui;  Du, Yulong;  Zhao, Kunlei;  Yuan, Li
收藏  |  浏览/下载：162/0  |  提交时间：2020/05/24
WENO scheme  Stencil approximation order  Smoothness indicator  Hyperbolic conservation law  Euler equation  
SMOOTH CENTER MANIFOLDS FOR RANDOM DYNAMICAL SYSTEMS 期刊论文
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2016, 卷号: 46, 期号: 6, 页码: 1925-1962
作者:  Guo, Peng;  Shen, Jun
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
Random dynamical system  smoothness  center-unstable manifolds  center-stable manifolds  center manifolds  
Distributed finite-time chi-consensus algorithms for multi-agent systems with variable coupling topology 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2010, 卷号: 23, 期号: 2, 页码: 209-218
作者:  Wang, Xiaoli;  Hong, Yiguang
收藏  |  浏览/下载：120/0  |  提交时间：2018/07/30
chi-consensus  distributed control  multi-agent networks  non-smoothness  switching graphs  
Analysis of a class of discrete-time systems with power rule 期刊论文
AUTOMATICA, 2007, 卷号: 43, 期号: 3, 页码: 562-566
作者:  Yu, Xinghuo;  Xu, Jian-Xin;  Hong, Yiguang;  Yu, Shuanghe
收藏  |  浏览/下载：130/0  |  提交时间：2018/07/30
stability  discrete-time systems  non-smoothness  terminal convergence  robustness  sliding mode  
BOUNDEDNESS OF SEVERAL OPERATORS ON MARTINGALE SPACES AND THE GEOMETRY OF BANACH SPACES 期刊论文
数学年刊：B辑英文版, 1992, 卷号: 000, 期号: 002, 页码: 167-179
作者:  Liu PD(刘培德);  Long RL(龙瑞麟)
收藏  |  浏览/下载：100/0  |  提交时间：2021/01/14
operators  boundedness  valued  sharp  establishing  smoothness  martingale  Holder  proof  Walsh