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VPNets: Volume-preserving neural networks for learning source-free dynamics 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 416, 页码: 12
Authors:  Zhu, Aiqing;  Zhu, Beibei;  Zhang, Jiawei;  Tang, Yifa;  Liu, Jian
Favorite  |  View/Download：22/0  |  Submit date：2023/02/07
Deep learning  Neural networks  Discovery of dynamics  Source-free dynamics  Volume-preserving  
Mechanisms for dual-role-facility location games: Truthfulness and approximability 期刊论文
THEORETICAL COMPUTER SCIENCE, 2022, 卷号: 932, 页码: 69-83
Authors:  Chen, Xujin;  Li, Minming;  Wang, Changjun;  Wang, Chenhao;  Zhang, Mengqi;  Zhao, Yingchao
Favorite  |  View/Download：32/0  |  Submit date：2023/02/07
Mechanism design  Facility location  Approximation  Truthfulness  
Approximation capabilities of measure-preserving neural networks 期刊论文
NEURAL NETWORKS, 2022, 卷号: 147, 页码: 72-80
Authors:  Zhu, Aiqing;  Jin, Pengzhan;  Tang, Yifa
Favorite  |  View/Download：77/0  |  Submit date：2022/06/21
Measure-preserving  Neural networks  Dynamical systems  Approximation theory  
Persistence of excitation for identifying switched linear systems 期刊论文
AUTOMATICA, 2022, 卷号: 137, 页码: 7
Authors:  Mu, Biqiang;  Chen, Tianshi;  Cheng, Changming;  Bai, Er-wei
Favorite  |  View/Download：17/0  |  Submit date：2023/02/07
Switched linear systems  Persistence of excitation  
Tight efficiency lower bounds for strategy-proof mechanisms in two-opposite-facility location game 期刊论文
INFORMATION PROCESSING LETTERS, 2021, 卷号: 168, 页码: 6
Authors:  Chen, Xujin;  Hu, Xiaodong;  Tang, Zhongzheng;  Wang, Chenhao
Favorite  |  View/Download：146/0  |  Submit date：2021/04/26
Facility location game  (Universally) strategy-proof mechanism  Approximation algorithms  Inapproximability  
SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems 期刊论文
NEURAL NETWORKS, 2020, 卷号: 132, 页码: 166-179
Authors:  Jin, Pengzhan;  Zhang, Zhen;  Zhu, Aiqing;  Tang, Yifa;  Karniadakis, George Em
Favorite  |  View/Download：112/0  |  Submit date：2021/04/26
Deep learning  Physics-informed  Dynamical systems  Hamiltonian systems  Symplectic maps  Symplectic integrators  
The efficiency of Nash equilibria in the load balancing game with a randomizing scheduler 期刊论文
THEORETICAL COMPUTER SCIENCE, 2020, 卷号: 838, 页码: 180-194
Authors:  Chen, Xujin;  Hu, Xiaodong;  Wang, Chenhao;  Wu, Xiaoying
Favorite  |  View/Download：145/0  |  Submit date：2020/11/18
Load balancing game  Price of anarchy  Price of stability  Decision-making principle  Nash equilibrium  
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
Authors:  Jin, Pengzhan;  Lu, Lu;  Tang, Yifa;  Karniadakis, George Em
Favorite  |  View/Download：88/0  |  Submit date：2021/01/14
Neural networks  Generalization error  Learnability  Data distribution  Cover complexity  Neural network smoothness  
UNIT TRIANGULAR FACTORIZATION OF THE MATRIX SYMPLECTIC GROUP 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020, 卷号: 41, 期号: 4, 页码: 1630-1650
Authors:  Jin, Pengzhan;  Tang, Yifa;  Zhu, Aiqing
Favorite  |  View/Download：83/0  |  Submit date：2021/04/26
symplectic  symplectic matrix  triangular factorization  positive definite  singular symplectic matrix  generators  parameterization  unconstrained parametrization