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Two-sample functional linear models with functional responses 期刊论文
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2022, 卷号: 218, 页码: 85-105
Authors:  Xu, Wenchao;  Lin, Hongmei;  Zhang, Riquan;  Liang, Hua
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Asymptotic normality  Functional linear regression  Functional response  Functional principal component analysis  Rate of convergence  Semiparametric comparison  
Accelerated exponential Euler scheme for stochastic heat equation: convergence rate of the density 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 40
Authors:  Chen, Chuchu;  Cui, Jianbo;  Hong, Jialin;  Sheng, Derui
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density  convergence order  accelerated exponential Euler scheme  stochastic heat equation  Malliavin calculus  
Model-Free Reinforcement Learning by Embedding an Auxiliary System for Optimal Control of Nonlinear Systems 期刊论文
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2022, 卷号: 33, 期号: 4, 页码: 1520-1534
Authors:  Xu, Zhenhui;  Shen, Tielong;  Cheng, Daizhan
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Mathematical model  Trajectory  Heuristic algorithms  Optimal control  System dynamics  Artificial neural networks  Convergence  Approximate optimal control design  auxiliary trajectory  completely model-free  integral reinforcement learning (IRL)  
Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations 期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2022, 页码: 39
Authors:  Roeckner, Michael;  Xie, Longjie;  Yang, Li
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Stochastic hyperbolic-parabolic equations  Averaging principle  Strong and weak convergence  Homogenization  
Robust Tracking Error Feedback Control for a One-Dimensional Schrodinger Equation 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 卷号: 67, 期号: 3, 页码: 1120-1134
Authors:  Liu, Jun-Jun;  Guo, Bao-Zhu
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Mathematical model  Feedback control  Regulation  Observers  Feedforward systems  Eigenvalues and eigenfunctions  Convergence  Internal model principle  output tracking  robust control  Schrodinger equation  
Distributed Optimization Design for Computation of Algebraic Riccati Inequalities 期刊论文
IEEE TRANSACTIONS ON CYBERNETICS, 2022, 卷号: 52, 期号: 3, 页码: 1924-1935
Authors:  Zeng, Xianlin;  Chen, Jie;  Hong, Yiguang
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Linear matrix inequalities  Distributed algorithms  Optimization  Heuristic algorithms  Dynamical systems  Convergence  Multi-agent systems  Distributed algorithm  distributed optimization  matrix inequality  
Improved two-step Newton's method for computing simple multiple zeros of polynomial systems 期刊论文
NUMERICAL ALGORITHMS, 2022, 页码: 32
Authors:  Li, Nan;  Zhi, Lihong
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Polynomial system  Simple multiple zero  Newton's method  Quadratic convergence  
Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings 期刊论文
APPLICABLE ANALYSIS, 2022, 卷号: 101, 期号: 1, 页码: 14-34
Authors:  Rashid, M. H.;  Yuan, Ya-xiang
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Generalized equation  set-valued mappings  metrically regular mappings  restricted Newton-type method  semi-local convergence  
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
Authors:  Huang, Yakui;  Dai, Yu-Hong;  Liu, Xin-Wei;  Zhang, Hongchao
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Gradient methods  Asymptotic convergence  Spectral property  Acceleration of gradient methods  Barzilai-Borwein method  Unconstrained optimization  Quadratic optimization  
CONVERGENCE ANALYSIS OF INEXACT TWO-GRID METHODS: A THEORETICAL FRAMEWORK 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 133-156
Authors:  Xu, Xuefeng;  Zhang, Chen-Song
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multigrid  inexact two-grid methods  convergence factor  eigenvalue analysis