Initial Vorticity Estimation on 2D Kolmogorov flow (test)
0.0005Relative L1 Error (Sparsity 4^2)weak-vanilla
Evaluation results
| Method | Links | ||||
|---|---|---|---|---|---|
| weak-vanillainit=Fourier2025.09 | 0.0005 | 0.03 | 0.459 | 1.31 | |
| interpinit=Fourier2025.09 | 0.0014 | 0.0347 | 0.202 | 0.607 | |
| vanillainit=Fourier2025.09 | 0.018 | 0.101 | 0.417 | 1.58 | |
| weak-neuralinit=N/A2025.09 | 0.0191 | 0.0408 | 0.0963 | 0.33 | |
| neural-4DVARinit=N/A2025.09 | 0.0252 | 0.078 | 0.156 | 0.266 | |
| interpinit=bicubic2025.09 | 0.0531 | 0.27 | 0.844 | 1.18 | |
| weak-vanillainit=bicubic2025.09 | 0.0546 | 0.578 | 2.8 | 2.46 | |
| vanillainit=bicubic2025.09 | 0.0674 | 0.443 | 2.09 | 2.67 | |
| PINN-4DVARinit=N/A2025.09 | 0.0854 | 0.0874 | 0.156 | 0.364 |