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Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
Authors:  Zhong, Ming;  Yan, Zhenya
Favorite  |  View/Download:45/0  |  Submit date:2023/02/07
Integrable fractional nonlinear wave equations  Fourier neural operator  Deep learning  Data-driven soliton mapping  Activation function  Channel of fully-connected layer  
Improve Robustness and Accuracy of Deep Neural Network with L-2,L-infinity Normalization 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2022, 页码: 26
Authors:  Yu Lijia;  Gao Xiao-Shan
Favorite  |  View/Download:45/0  |  Submit date:2023/02/07
Deep neural network  global robustness measure  L-2,L-infinity  normalization  over-fitting  Rademacher complexity  smooth DNN  
An efficient neural network method with plane wave activation functions for solving Helmholtz equation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 卷号: 111, 页码: 34-49
Authors:  Cui, Tao;  Wang, Ziming;  Xiang, Xueshuang
Favorite  |  View/Download:52/0  |  Submit date:2023/02/07
Helmholtz equation  Deep learning  Finite difference method  Plane wave method  
Nonlinear quantum neuron: A fundamental building block for quantum neural networks 期刊论文
PHYSICAL REVIEW A, 2020, 卷号: 102, 期号: 5, 页码: 8
Authors:  Yan, Shilu;  Qi, Hongsheng;  Cui, Wei
Favorite  |  View/Download:124/0  |  Submit date:2021/01/14
Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 卷号: 27, 期号: 2, 页码: 379-411
Authors:  Li, Bo;  Tang, Shanshan;  Yu, Haijun
Favorite  |  View/Download:112/0  |  Submit date:2020/05/24
Deep neural network  high dimensional approximation  sparse grids  rectified linear unit  rectified power unit  rectified quadratic unit  
Building quantum neural networks based on a swap test 期刊论文
PHYSICAL REVIEW A, 2019, 卷号: 100, 期号: 1, 页码: 9
Authors:  Zhao, Jian;  Zhang, Yuan-Hang;  Shao, Chang-Peng;  Wu, Yu-Chun;  Guo, Guang-Can;  Guo, Guo-Ping
Favorite  |  View/Download:142/0  |  Submit date:2020/01/10
Bounds on the number of hidden neurons in three-layer binary neural networks 期刊论文
NEURAL NETWORKS, 2003, 卷号: 16, 期号: 7, 页码: 995-1002
Authors:  Zhang, ZZ;  Ma, XM;  Yang, YX
Favorite  |  View/Download:94/0  |  Submit date:2018/07/30
three-layer binary neural network  Boolean function  set covering algorithm  unit sphere covering  Hamming space  weighted distance sphere