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2009.14596
Cited By
Machine Learning and Computational Mathematics
23 September 2020
Weinan E
PINN
AI4CE
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Papers citing
"Machine Learning and Computational Mathematics"
12 / 12 papers shown
Title
A Triumvirate of AI Driven Theoretical Discovery
Yang-Hui He
AI4CE
48
4
0
30 May 2024
Leveraging Interpolation Models and Error Bounds for Verifiable Scientific Machine Learning
Tyler Chang
Andrew Gillette
R. Maulik
49
2
0
04 Apr 2024
Failure-informed adaptive sampling for PINNs, Part II: combining with re-sampling and subset simulation
Zhi-Hao Gao
Tao Tang
Liang Yan
Tao Zhou
37
18
0
03 Feb 2023
Port-metriplectic neural networks: thermodynamics-informed machine learning of complex physical systems
Quercus Hernandez
Alberto Badías
Francisco Chinesta
Elías Cueto
PINN
AI4CE
27
13
0
03 Nov 2022
Convergence analysis of a quasi-Monte Carlo-based deep learning algorithm for solving partial differential equations
Fengjiang Fu
Xiaoqun Wang
29
2
0
28 Oct 2022
Failure-informed adaptive sampling for PINNs
Zhiwei Gao
Liang Yan
Tao Zhou
18
77
0
01 Oct 2022
Thermodynamics of learning physical phenomena
Elías Cueto
Francisco Chinesta
AI4CE
25
22
0
26 Jul 2022
Monte Carlo PINNs: deep learning approach for forward and inverse problems involving high dimensional fractional partial differential equations
Ling Guo
Hao Wu
Xiao-Jun Yu
Tao Zhou
PINN
AI4CE
29
58
0
16 Mar 2022
Solving time dependent Fokker-Planck equations via temporal normalizing flow
Xiaodong Feng
Li Zeng
Tao Zhou
AI4CE
36
25
0
28 Dec 2021
Solving the Dirichlet problem for the Monge-Ampère equation using neural networks
K. Nystrom
Matias Vestberg
37
2
0
07 Oct 2021
Data-informed Deep Optimization
Lulu Zhang
Z. Xu
Yaoyu Zhang
AI4CE
35
3
0
17 Jul 2021
MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs
Lulu Zhang
Tao Luo
Yaoyu Zhang
Weinan E
Z. Xu
Zheng Ma
AI4CE
24
33
0
08 Jul 2021
1