1D KdV forecasting on KdV single-soliton in-distribution (test)
2.1NMSE (Step 50)U-FNO
Evaluation results
| Method | Links | |||||||
|---|---|---|---|---|---|---|---|---|
| U-FNOTraining horizon=200 steps, Trajectories=120, Seeds=22026.05 | 2.1 | 6.1 | 1.5 | 7.2 | 1.7 | 1.6 | 1.7 | |
| FNO + comm. reg.Training horizon=200 steps, Trajectories=120, Seeds=3, Regularization=Commutativity Regularization2026.05 | 2.1 | 6.1 | 1.5 | 7.3 | 1.9 | 3.4 | 5.1 | |
| U-FNO + comm. reg.Training horizon=200 steps, Trajectories=120, Seeds=3, Regularization=Commutativity Regularization2026.05 | 2.1 | 6.2 | 1.5 | 4.4 | 1.3 | 2.9 | 4.6 | |
| FNOTraining horizon=200 steps, Trajectories=120, Seeds=32026.05 | 6.3 | 7.6 | 3.1 | 3.9 | 4.9 | 5 | 5 |