Physics-Informed PDE Solving on 2D Helmholtz (test)
0.0228Time (sec/iter)Fast-PI-KAN
Evaluation results
| Method | Links | ||
|---|---|---|---|
| Fast-PI-KANBasis=RBF, Parameters=Nf = 102026.02 | 0.0228 | — | |
| PI-FEKANBasis=Chebyshev, Parameters=k = 42026.02 | 0.0275 | — | |
| Fast-PI-FEKANBasis=RBF, Parameters=Nf = 102026.02 | 0.034 | — | |
| PI-KANBasis=Chebyshev, Parameters=k = 42026.02 | 0.036 | — | |
| PI-FEKANBasis=Spline, Parameters=k = 3, G = 52026.02 | 0.0787 | — | |
| PI-KANBasis=Fourier, Parameters=N = 102026.02 | 0.0899 | — | |
| PI-KANBasis=Spline, Parameters=k = 3, G = 52026.02 | 0.0977 | — | |
| Wav-PI-KANBasis=DoG, Parameters=None2026.02 | 0.1068 | — | |
| PI-FEKANBasis=Fourier, Parameters=N = 102026.02 | 0.1176 | — | |
| HR-PI-KANBasis=ReLUn, Parameters=k = 3, G = 5, n = 32026.02 | 0.1212 | — | |
| Wav-PI-FEKANBasis=DoG, Parameters=None2026.02 | 0.1402 | — | |
| ReLU-PI-KANBasis=ReLU, Parameters=k = 3, G = 52026.02 | 0.153 | — | |
| ReLU-PI-FEKANBasis=ReLU, Parameters=k = 3, G = 52026.02 | 0.243 | — | |
| HR-PI-FEKANBasis=ReLUn, Parameters=k = 3, G = 5, n = 32026.02 | 0.3463 | — | |
| DeepONetParams=280K2026.02 | — | 1 | |
| FactFormerParams=3.9M2026.02 | — | 0.07 | |
| FNOParams=132K2026.02 | — | 0.05 | |
| Green LearningParams=83K2026.02 | — | 1 | |
| Neural-HSSParams=37K2026.02 | — | 0.006 | |
| ResNetParams=165K2026.02 | — | 1 |