| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Advection | Advection | nRMSE0.283 | 60 | |
| Partial Differential Equation Solving | 1-D Advection | MSE0.0001 | 12 | |
| Inverse reconstruction | Advection N=500 per family (test) | Relative L2 Error1.25 | 8 | |
| Posterior Sampling | Advection | Time per Sample (s)1.05 | 6 | |
| Physical Dynamics Prediction | Advection | Mean Error0.0049 | 5 | |
| Forward prediction | Advection N=500 per family (test) | Relative L2 Error1.02 | 4 |