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HiDeNN-TD: Reduced-order hierarchical deep learning neural networks
期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 389, 页码: 33
作者:
Zhang L(张磊)
;
Lu, Ye
;
Tang, Shaoqiang
;
Liu, Wing Kam
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浏览/下载:48/0
  |  
提交时间:2022/02/17
Hierarchical deep-learning neural networks
Proper generalized decomposition
Canonical tensor decomposition
Reduced order finite element method
Convergence study and error bound
Three regularization methods for identifying the initial value of homogeneous anomalous secondary diffusion equation
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 卷号: 44, 期号: 17, 页码: 13723-13755
作者:
Yang, Fan
;
Wu, Hang-Hang
;
Li, Xiao-Xiao
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  |  
浏览/下载:3/0
  |  
提交时间:2021/10/14
homogeneous anomalous subdiffusion equation
identifying the initial value
inverse problem
optimal error bound
regularization method
Matrix optimization based Euclidean embedding with outliers
期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2021, 卷号: 79, 期号: 2, 页码: 235-271
作者:
Zhang, Qian
;
Zhao, Xinyuan
;
Ding, Chao
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  |  
浏览/下载:15/0
  |  
提交时间:2021/10/26
Euclidean embedding
Outliers
Matrix optimizationg
Low-rank matrix
Error bound
Robust Exponential Synchronization for Memristor Neural Networks With Nonidentical Characteristics by Pinning Control
期刊论文
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 卷号: 51, 期号: 3, 页码: 1966-1980
作者:
Li, Yueheng
;
Luo, Biao
;
Liu, Derong
;
Yang, Yin
;
Yang, Zhanyu
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  |  
浏览/下载:56/0
  |  
提交时间:2021/03/29
Synchronization
Memristors
Biological neural networks
Delays
Neurons
Hysteresis
Error bound
exponential synchronization
memristor-based neural networks (MNNs)
nonidentical characteristics
pinning control
stable region
Identifying initial value problem for time-fractional diffusion equation with Caputo-like counterpart hyper-Bessel operator: Optimal error bound analysis and regularization method
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 卷号: 44, 期号: 8, 页码: -
作者:
Yang, Fan
;
Sun, Qiao-Xi
;
Li, Xiao-Xiao
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  |  
浏览/下载:11/0
  |  
提交时间:2021/03/12
Errors
Initial value problems
Iterative methods
Numerical methods
Parameterization
Partial differential equations
Bessel operators
Error estimates
Exact solution
Iterative regularization
Optimal error bound
Regularization methods
Regularization parameters
Time fractional diffusion equation
A potential-free field inverse time-fractional Schrödinger problem: Optimal error bound analysis and regularization method
期刊论文
Mathematical Methods in the Applied Sciences, 2021, 卷号: 44, 期号: 2, 页码: 1219-1251
作者:
Yang, Fan
;
Fu, Jun-Liang
;
Li, Xiao-Xiao
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浏览/下载:6/0
  |  
提交时间:2020/12/18
Errors
Numerical methods
ParameterizationConvergence errors
Free fields
Inverse-time
Modified kernels
Optimal error bound
Priori bounds
Regularization methods
Regularization parameters
Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method
期刊论文
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2021, 卷号: 29, 期号: 12, 页码: 2040-2084
作者:
Yang, Fan
;
Wang, Qian-Chao
;
Li, Xiao-Xiao
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  |  
浏览/下载:13/0
  |  
提交时间:2021/06/03
Inverse problem
Caputo-Fabrizio fractional derivative
space-time fractional diffusion equation
optimal error bound
unknown source identification
A potential-free field inverse Schrödinger problem: optimal error bound analysis and regularization method
期刊论文
Inverse Problems in Science and Engineering, 2020, 卷号: 28, 期号: 9, 页码: 1209-1252
作者:
Yang, Fan
;
Fu, Jun-Liang
;
Li, Xiao-Xiao
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  |  
浏览/下载:5/0
  |  
提交时间:2020/11/14
Dynamic loads
Errors
Iterative methods
Numerical methods
Parameterization
Free fields
Ill posed problem
Iterative regularization
Modified kernels
Optimal error bound
A potential-free field inverse Schrodinger problem: optimal error bound analysis and regularization method
期刊论文
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2019, 卷号: 28, 期号: 9, 页码: 1209-1252
作者:
Yang, Fan
;
Fu, Jun-Liang
;
Li, Xiao-Xiao
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  |  
浏览/下载:13/0
  |  
提交时间:2020/06/02
Potential-free field inverse Schrodinger problem
optimal error bound
Landweber iterative regularization method
a modified kernel method
ill-posed problem
Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 2, 页码: 1072-1087
作者:
Xie, Hehu
;
Xie, Manting
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  |  
浏览/下载:1/0
  |  
提交时间:2020/05/24
Bose-Einstein condensate
Gross-Pitaevskii equation
Finite element method
Computable error estimates
Lower bound
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