Allen-Cahn equation
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| PDE Solving | 2D Allen-Cahn equation a=15 | Relative L2 Error0 | 32 | |
| Solving partial differential equations | 4D Allen-Cahn equation a=15 d=4 | Relative L2 Error0 | 24 | |
| Solving Nonlinear PDEs | Allen-Cahn equation n = 32 (test) | Relative L2 Error0.001 | 7 | |
| Operator Learning | Allen-Cahn Equation RPB (Out) | Relative Median L1 Error1.1 | 7 | |
| Operator Learning | Allen-Cahn Equation RPB (In) | Relative Median L1 Error0.28 | 7 | |
| Partial Differential Equation Solving | Allen-Cahn equation Large regime, phi=2 | Relative MSE0.0001 | 6 | |
| Partial Differential Equation Solving | Allen-Cahn equation Medium regime, phi=1 | Relative MSE0.0001 | 6 | |
| Partial Differential Equation Solving | Allen-Cahn equation Small regime, phi=0.5 | Relative MSE0.0002 | 6 | |
| Solving Allen-Cahn equation | Allen-Cahn equation 17 | ReL2 Error0.0001 | 6 | |
| Solving PDE | Allen-Cahn equation 6D a=15 48000 points | Relative L2 Error0 | 5 | |
| Solving PDE | 6D Allen-Cahn equation a=15 d=6 32000 points | Relative L2 Error0 | 5 | |
| Solving partial differential equations | Allen-Cahn equation Example 7 epsilon = 10−4 | L2 Error0.96 | 4 | |
| PDE solving | Allen-Cahn equation | L2 Relative Error0 | 4 | |
| Inverse Parameter Identification | Allen-Cahn Equation Solution Data Inverse problem | Metric- | 0 |
Showing 14 of 14 rows