| Dataset Name | SOTA Method | Metric | Trend | ||
|---|---|---|---|---|---|
| Kuramoto–Sivashinsky (KS) | FFNO | nRMSE0.2 | 63 | 1mo ago | |
| PDEBench RDB (test) | Regret Knee-0.9 | 16 | 4mo ago | ||
| Shallow-water equations (5-step rollout) | CViT-L | Relative L2 Error1.56 | 10 | 19d ago | |
| Kolmogorov Flow ν=1e-4 | SI | Wasserstein Distance0.0007 | 7 | 24d ago | |
| Kolmogorov Flow ν=5e-4 | PDE-TF | Wasserstein Distance0.0006 | 7 | 24d ago | |
| Kolmogorov Flow ν=1e-3 | SI | Wasserstein Distance0.0011 | 7 | 24d ago | |
| Kuramoto-Sivashinsky (KS) L=66, σ=2.0 | SI | Wasserstein Distance0.226 | 7 | 24d ago | |
| Kuramoto-Sivashinsky (KS) L=66, σ=1.0 | SI | Wasserstein Distance0.15 | 7 | 24d ago | |
| Kuramoto-Sivashinsky (KS) L=66, σ=0.5 | SI | Wasserstein Distance0.13 | 7 | 24d ago | |
| Kuramoto-Sivashinsky (KS) L=22, σ=2.0 | SI | Wasserstein Distance0.514 | 7 | 24d ago | |
| Kuramoto-Sivashinsky (KS) L=22, σ=1.0 | SI | Wasserstein distance0.311 | 7 | 24d ago | |
| Kuramoto-Sivashinsky (KS) L=22, σ=0.5 | SI | Wasserstein Distance0.188 | 7 | 24d ago | |
| Kuramoto-Sivashinsky (KS) L=22, σ=0.05 | Wasserstein Distance0.156 | 7 | 24d ago | ||
| Kuramoto-Sivashinsky (KS) L=66, σ=0.05 | Wasserstein Distance0.123 | 6 | 24d ago |
