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SPDEBench: An Extensive Benchmark for Learning Regular and Singular Stochastic PDEs

SPDEBench: An Extensive Benchmark for Learning Regular and Singular Stochastic PDEs

24 May 2025
Zheyan Li
Yuantu Zhu
Hao Ni
Siran Li
Bingguang Chen
Qi Meng
ArXiv (abs)PDFHTML

Papers citing "SPDEBench: An Extensive Benchmark for Learning Regular and Singular Stochastic PDEs"

6 / 6 papers shown
Title
Neural Stochastic PDEs: Resolution-Invariant Learning of Continuous
  Spatiotemporal Dynamics
Neural Stochastic PDEs: Resolution-Invariant Learning of Continuous Spatiotemporal Dynamics
C. Salvi
M. Lemercier
A. Gerasimovičs
AI4CE
103
45
0
19 Oct 2021
Feature Engineering with Regularity Structures
Feature Engineering with Regularity Structures
I. Chevyrev
A. Gerasimovičs
H. Weber
143
11
0
12 Aug 2021
Fourier Neural Operator for Parametric Partial Differential Equations
Fourier Neural Operator for Parametric Partial Differential Equations
Zong-Yi Li
Nikola B. Kovachki
Kamyar Azizzadenesheli
Burigede Liu
K. Bhattacharya
Andrew M. Stuart
Anima Anandkumar
AI4CE
516
2,456
0
18 Oct 2020
Neural Rough Differential Equations for Long Time Series
Neural Rough Differential Equations for Long Time Series
James Morrill
C. Salvi
Patrick Kidger
James Foster
Terry Lyons
AI4TS
73
133
0
17 Sep 2020
Neural Controlled Differential Equations for Irregular Time Series
Neural Controlled Differential Equations for Irregular Time Series
Patrick Kidger
James Morrill
James Foster
Terry Lyons
AI4TS
129
483
0
18 May 2020
DeepONet: Learning nonlinear operators for identifying differential
  equations based on the universal approximation theorem of operators
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators
Lu Lu
Pengzhan Jin
George Karniadakis
248
2,162
0
08 Oct 2019
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