Helmholtz equation
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| PDE Solving | Helmholtz equation | Relative L2 Error0.006 | 32 | |
| Solving PDEs | Helmholtz Equation (test) | Max Relative L2 Error0.0036 | 11 | |
| Helmholtz Equation | Helmholtz Equation 70K epochs | L1 Error0.0079 | 5 | |
| Joint sparse reconstruction | Helmholtz equation | Relative Error (RE)5.94 | 5 | |
| PDE solving | Helmholtz Equation sigma_obs=0.5 (val) | Residual Error0.023 | 4 | |
| PDE solving | Helmholtz Equation sigma_obs=0.1 (val) | Residual0.024 | 4 | |
| PDE solving | Helmholtz Equation sigma_obs=0.05 (val) | Residual Error0.024 | 4 | |
| PDE solving | Helmholtz Equation sigma_obs=0 (val) | Residual0.025 | 4 | |
| PDE Solving | Helmholtz Equation (val) | MSE Loss (Validation)2.32 | 3 | |
| PDE Solving | Helmholtz Equation (train) | Training Loss1.23 | 3 | |
| Solving Linear ODE/PDE | Helmholtz equation (test) | MAE0.0002 | 2 | |
| Solving Partial Differential Equations | Helmholtz equation high-frequency regime Example 2 (test) | Metric- | 0 |
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