PDEBench
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| PDE Solving | PDEBench Diff.Reac 1D (test) | nRMSE0.0014 | 13 | |
| Solving Diffusion Equation | PDEBench DIFF 2D (test) | Test Error0.0073 | 10 | |
| PDE Prediction | PDEBench 2D Shallow Water Equations (SWE) (test) | Prediction Error0.0017 | 10 | |
| PDE Solving | PDEBench Diff.Sorp (test) | nRMSE0.0016 | 9 | |
| PDE Solving | PDEBench Advection (test) | nRMSE0.0032 | 9 | |
| PDE Solving | PDEBench Diff.Reac 2D (test) | nRMSE0.12 | 8 | |
| PDE Solving | PDEBench S.Water (test) | nRMSE0.0044 | 8 | |
| PDE Solving | PDEBench Darcy (test) | nRMSE0.079 | 8 | |
| PDE Solving | PDEBench | CNS0.0285 | 5 | |
| Aggregate performance ranking | PDEBench Multiple Tasks | Avg Rank1.25 | 5 | |
| PDE solving | PDEBench Navier Stokes (1D) | nRMSE0.05 | 5 | |
| PDE solving | PDEBench Diffusion Reaction (1D) | nRMSE0.0028 | 5 | |
| PDE solving | PDEBench Diffusion Reaction (2D) | nRMSE0.817 | 5 | |
| PDE solving | PDEBench Shallow Water (2D) | nRMSE0.0054 | 5 | |
| PDE solving | PDEBench Diffusion Sorption (1D) | nRMSE0.0016 | 5 | |
| PDE solving | PDEBench Burgers 1D | nRMSE0.0108 | 5 | |
| PDE solving | PDEBench Advection (1D) | nRMSE0.0032 | 5 | |
| Navier-Stokes | PDEBench | nRMSE0.05 | 5 | |
| Diff.Reac(2D) | PDEBench | nRMSE0.817 | 5 | |
| S.Water | PDEBench | nRMSE0.0054 | 5 | |
| Burgers | PDEBench | nRMSE0.0108 | 5 | |
| Darcy | PDEBench | nRMSE0.079 | 5 | |
| PDE Solving | PDEBench Diffusion-Sorption (1D) (test) | nRMSE0.0016 | 4 | |
| PDE Solving | PDEBench Burgers (1D) (test) | nRMSE0.31 | 4 | |
| PDE Solving | PDEBench Advection (1D) (test) | nRMSE0.0078 | 4 |
Showing 25 of 29 rows