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2402.07465
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Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck Equations
12 February 2024
Zheyuan Hu
Zhongqiang Zhang
George Karniadakis
Kenji Kawaguchi
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Papers citing
"Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck Equations"
6 / 6 papers shown
Title
Anant-Net: Breaking the Curse of Dimensionality with Scalable and Interpretable Neural Surrogate for High-Dimensional PDEs
Sidharth S. Menon
Ameya D. Jagtap
PINN
95
0
0
06 May 2025
A convergent scheme for the Bayesian filtering problem based on the Fokker--Planck equation and deep splitting
Kasper Bågmark
Adam Andersson
S. Larsson
Filip Rydin
79
0
0
20 Jan 2025
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators
Zekun Shi
Zheyuan Hu
Min-Bin Lin
Kenji Kawaguchi
130
4
0
27 Nov 2024
Hutchinson Trace Estimation for High-Dimensional and High-Order Physics-Informed Neural Networks
Zheyuan Hu
Zekun Shi
George Karniadakis
Kenji Kawaguchi
AI4CE
PINN
38
21
0
22 Dec 2023
Bias-Variance Trade-off in Physics-Informed Neural Networks with Randomized Smoothing for High-Dimensional PDEs
Zheyuan Hu
Zhouhao Yang
Yezhen Wang
George Karniadakis
Kenji Kawaguchi
39
9
0
26 Nov 2023
Physics-informed neural networks with hard constraints for inverse design
Lu Lu
R. Pestourie
Wenjie Yao
Zhicheng Wang
F. Verdugo
Steven G. Johnson
PINN
39
493
0
09 Feb 2021
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