Darcy
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| PDE Solving | Darcy Regular Grid (test) | Relative L2 Error0.0043 | 25 | |
| Operator Learning | Darcy Regular Grid (test) | Relative L2 Error0.0057 | 15 | |
| Regression | Darcy Synthetic (test) | NRMSE0.0167 | 8 | |
| Functional Mapping | Darcy Synthetic | MNLL-4.13 | 6 | |
| Posterior Sampling | Darcy | Time per Sample (s)1.05 | 6 | |
| Inverse Problem | Darcy (test) | Relative Error2.41 | 5 | |
| Forward Problem | Darcy (test) | RE3.1 | 5 | |
| PDE Solving | Darcy zero-shot 241 x 241 (test) | Relative L2 Error2.44 | 5 | |
| PDE Solving | Darcy zero-shot 211 x 211 (test) | Relative L2 Error0.0229 | 5 | |
| PDE Solving | Darcy zero-shot 141 x 141 (test) | Relative L2 Error0.0214 | 5 | |
| PDE Solving | Darcy zero-shot 85 x 85 (test) | Relative L2 Error0.0192 | 5 | |
| PDE Solving | Darcy zero-shot 61 x 61 (test) | Relative L2 Error0.0179 | 5 | |
| Operator learning | Darcy Piecewise Coeff. (test) | Relative L2 Error (Test)1.24 | 3 | |
| Operator learning | Darcy Smooth Coeff. (test) | Relative L2 Error (Test)0.0026 | 3 | |
| Data Assimilation | Darcy R3 (test) | Average Wall-Time (s)0.023 | 3 | |
| PDE Solving | Darcy (test) | Relative Error4.76 | 3 |
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