1D Heat Equation
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Solving Partial Differential Equations | 1D Heat Equation alpha1=1.0, alpha2=2.0, s=10.0 35 (test) | eLoss0 | 6 | |
| Bayesian Inverse Problem | 1D Heat Equation 64 signals (test) | RMSE0.0443 | 5 | |
| Thermal Diffusivity Recovery | 1D Heat Equation (held-out conditions) | MSE (Interpolation)0 | 4 | |
| Error Certification | 1D Heat Equation | Certified Error |∂Ω0.0002 | 1 |
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