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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
Authors:
Zhao, Yue
;
Mao, Zhiping
;
Guo, Ling
;
Tang, Yifa
;
Karniadakis, George Em
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View/Download:28/0
  |  
Submit date:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators
期刊论文
NATURE MACHINE INTELLIGENCE, 2021, 卷号: 3, 期号: 3, 页码: 218-+
Authors:
Lu, Lu
;
Jin, Pengzhan
;
Pang, Guofei
;
Zhang, Zhongqiang
;
Karniadakis, George Em
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View/Download:173/0
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Submit date:2021/06/01
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
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View/Download:118/0
  |  
Submit date:2021/04/26
Deep learning
Physics-informed
Dynamical systems
Hamiltonian systems
Symplectic maps
Symplectic integrators
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
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View/Download:95/0
  |  
Submit date:2021/01/14
Neural networks
Generalization error
Learnability
Data distribution
Cover complexity
Neural network smoothness