Advection
Benchmarks
| 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 | |
| PDE Imputation | Advection (5/9 observed blocks) | MSE0.1407 | 7 | |
| PDE Imputation | Advection 8/9 observed blocks | MSE0.1065 | 7 | |
| PDE Imputation | Advection 30% availability (test) | Simulation MSE0.1189 | 7 | |
| PDE Imputation | Advection 80% availability (test) | Simulation MSE0.103 | 7 | |
| 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 | |
| Physics-Informed Neural Network PDE Solving | Advection c = 80 | Relative L2 Error0.0095 | 3 | |
| Partial Differential Equation (PDE) Solving | Advection 3-seed extended | Relative L2 Error0.0018 | 3 |
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