KdV
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| PDE Solving | KdV | RMSE0.0001 | 17 | |
| Korteweg-De Vries Equation Prediction | KdV 20-second sequence | NMSE0.0001 | 11 | |
| PDE regression | KdV (test) | NMSE0.064 | 9 | |
| PDE Rollout Prediction | KdV trajectory set (test) | Rollout Relative H1 Error0.0523 | 8 | |
| PDE Rollout Simulation | KdV (test) | Rollout Relative L2 Error5.02 | 8 | |
| PDE dynamics prediction | KdV 1D (test) | 5-step Relative Prediction Error1 | 4 | |
| Solving Partial Differential Equations | KdV | Relative L2 Error4.38 | 3 | |
| Forward PDE solving | KdV | Median L2 Error8.13 | 3 | |
| Korteweg-De Vries Equation Prediction | KdV 40-second sequence | NMSE0.0003 | 2 | |
| Timestepping | KdV | NMSE0.33 | 2 | |
| Equation parameter regression | KdV | NMSE0.033 | 2 |
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