Initial Vorticity Estimation on 2D Kolmogorov Flow Sparsity 32^2 (initial conditions)
0.382Relative L1 Error (Noise 5%)PINN
Evaluation Results
| Method | Links | |||||
|---|---|---|---|---|---|---|
| PINNinit=N/A2025.09 | 0.382 | 0.408 | 0.444 | 0.474 | 0.497 | |
| weak-neuralinit=N/A2025.09 | 0.445 | 0.684 | 0.933 | 1.11 | 1.31 | |
| interpinit=Fourier2025.09 | 0.671 | 0.675 | 0.682 | 0.692 | 0.706 | |
| interpinit=bicubic2025.09 | 1.18 | 1.17 | 1.18 | 1.19 | 1.2 | |
| weak-vanillainit=Fourier2025.09 | 1.59 | 2 | 2.32 | 2.61 | 2.85 | |
| neuralinit=N/A2025.09 | 1.91 | 5.32 | 10.5 | 5.32 | 16.4 | |
| weak-vanillainit=bicubic2025.09 | 2.64 | 2.89 | 3.16 | 3.41 | 3.65 | |
| vanillainit=Fourier2025.09 | 3.45 | 5.68 | 7.74 | 9.62 | 11.3 | |
| vanillainit=bicubic2025.09 | 3.93 | 5.7 | 7.49 | 9.24 | 10.9 |