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PDEBench

Benchmarks

Task NameDataset NameSOTA ResultTrend
PDE SolvingPDEBench Diff.Sorp (test)
nRMSE0.0016
65
PDE SolvingPDEBench Diff.Reac 1D (test)
nRMSE0.0014
41
PDE SolvingPDEBench rdb (test)
nRMSE11.3
28
Rollout PredictionPDEBench rdb (test)
nRMSE0.071
28
Rollout PredictionPDEBench diff-sorp (test)
nRMSE0.105
28
Advection-Diffusion-ReactionPDEBench ADR 64 x 64 (evaluation regime nc=2, Pe=1, Da=0.1)
Relative L2 Error0.028
20
PDE ForecastingPDEBench RDB (test)
Regret Knee-0.9
16
Regret assessmentPDEBench RDB full-oracle case-level
Regret Knee-0.9
16
Context window selection for PDE forecastingPDEBench DiffReact (full-oracle case-level)
Regret Knee-0.8
16
PDE SolvingPDEBench 2D Shallow Water Equations
Relative L2 Error0.0014
11
Solving Diffusion EquationPDEBench DIFF 2D (test)
Test Error0.0073
10
PDE PredictionPDEBench 2D Shallow Water Equations (SWE) (test)
Prediction Error0.0017
10
PDE SolvingPDEBench 1D Burgers
Relative L2 Error0.63
9
PDE SolvingPDEBench 1D Advection
Relative L2 Error0.28
9
PDE SolvingPDEBench Advection (test)
nRMSE0.0032
9
PDE SolvingPDEBench 3D Turbulent CFD
Relative L2 Error0.3052
8
PDE SolvingPDEBench 2D Incompressible Navier-Stokes
Relative L2 Error0.0198
8
PDE SolvingPDEBench 1D CFD
Relative L2 Error0.0247
8
PDE SolvingPDEBench Diff.Reac 2D (test)
nRMSE0.12
8
PDE SolvingPDEBench S.Water (test)
nRMSE0.0044
8
PDE SolvingPDEBench Darcy (test)
nRMSE0.079
8
PDE Rollout PredictionPDEBench Aggregate All time-dependent families
Mean nRMSE0.074
7
PDE SolvingPDEBench 2D CFD (ALL)
Relative L2 Error0.004
5
PDE SolvingPDEBench 2D CFD (M = 0.1)
Relative L2 Error0.0033
5
PDE SolvingPDEBench 2D CFD (M = 1)
Relative L2-error0.0046
5
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