| Dataset Name | SOTA Method | Metric | Trend | ||
|---|---|---|---|---|---|
| FNO V3 | L2RE (%)0.77 | 10 | 1mo ago | ||
| FNO V4 | L2 Relative Error (%)1.26 | 10 | 1mo ago | ||
| FNO V5 | L2RE (%)2.49 | 10 | 1mo ago | ||
| High-dimensional Heat Equation 10-dimensional (test) | PFNN | MAE (t=0)0 | 5 | 3mo ago | |
| W-VE | L2 Relative Error (%)1.88 | 5 | 3mo ago | ||
| W-TR | L2RE (%)2.11 | 5 | 3mo ago | ||
| W-SF | U-AFNO | L2RE (%)3.89 | 5 | 3mo ago | |
| W-RB | L2RE (%)6.46 | 5 | 3mo ago | ||
| W-SWE | U-AFNO | L2RE (%)1.29 | 5 | 3mo ago | |
| W-GS | L2 Relative Error (%)1.67 | 5 | 3mo ago | ||
| W-AM | L2RE (%)1.21 | 5 | 3mo ago | ||
| PB-SWE | U-AFNO | L2RE (%)2.9 | 5 | 3mo ago | |
| PB-CNSH | L2RE (%)1.22 | 5 | 3mo ago | ||
| PB-CNSL | L2RE (%)0.49 | 5 | 3mo ago | ||
| PA-SWE | L2RE (%)6.52 | 5 | 3mo ago | ||
| PA-NSC | L2RE (%)0.0378 | 5 | 3mo ago | ||
| PA-NS | L2RE (%)6.18 | 5 | 3mo ago | ||
| High-dimensional Heat Equation 10-dimensional (average) | STDE | MAE (average)0.0001 | 3 | 3mo ago | |
| Incompressible Navier-Stokes 128x128 grid | CompNO | Time per Step (s)0.01 | 2 | 21d ago | |
| Vectorial Burgers' 128x128 grid | CompNO | Time per Time Step (s)0.0065 | 2 | 21d ago | |
| Scalar Burgers' 128x128 grid | CompNO | Time per Step (s)0.0052 | 2 | 21d ago | |
| Convection-Diffusion 128x128 grid | CompNO | Time per Step (s)0.0052 | 2 | 21d ago |
