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ResearchFormerly WizWand

PDE Forecasting

Benchmarks

DatasetSOTA methodMetricTrendResultsLast updated

Kuramoto–Sivashinsky (KS)

0.2nRMSE

63

Jun 12, 2026

PDEBench RDB (test)

-0.9Regret Knee

16

Mar 27, 2026

Shallow-water equations (5-step rollout)

1.56Relative L2 Error

10

Jul 7, 2026

Kolmogorov Flow ν=1e-4

0.001Wasserstein Distance

7

Jul 2, 2026

Kolmogorov Flow ν=5e-4

0.001Wasserstein Distance

7

Jul 2, 2026

Kolmogorov Flow ν=1e-3

0.001Wasserstein Distance

7

Jul 2, 2026

Kuramoto-Sivashinsky (KS) L=66, σ=2.0

0.226Wasserstein Distance

7

Jul 2, 2026

Kuramoto-Sivashinsky (KS) L=66, σ=1.0

0.15Wasserstein Distance

7

Jul 2, 2026

Kuramoto-Sivashinsky (KS) L=66, σ=0.5

0.13Wasserstein Distance

7

Jul 2, 2026

Kuramoto-Sivashinsky (KS) L=22, σ=2.0

0.514Wasserstein Distance

7

Jul 2, 2026

Kuramoto-Sivashinsky (KS) L=22, σ=1.0

0.311Wasserstein distance

7

Jul 2, 2026

Kuramoto-Sivashinsky (KS) L=22, σ=0.5

0.188Wasserstein Distance

7

Jul 2, 2026

Kuramoto-Sivashinsky (KS) L=22, σ=0.05

0.156Wasserstein Distance

7

Jul 2, 2026

Kuramoto-Sivashinsky (KS) L=66, σ=0.05

0.123Wasserstein Distance

6

Jul 2, 2026