Heat equation
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Fixed-time learning | Heat Equation 24 (test) | Empirical L2 Error0.019 | 84 | |
| Spatio-temporal learning | Heat equation (24) m=30 (test) | Empirical L2-error0.031 | 14 | |
| Spatio-temporal learning | Heat equation 24 m=20 (test) | Empirical L2 Error0.081 | 14 | |
| Spatio-temporal learning | Heat equation (24) m=10 (test) | L2 Error (Empirical)0.029 | 14 | |
| PDE Solving | 5D-Heat equation | Relative L2 Error0.0008 | 10 | |
| Heat Equation | Heat Equation 20K epochs | L1 Error0.0018 | 5 | |
| Equation Discovery | Heat Equation PDE Noise Levels: 0%, 0.1%, 15% (large) | Mp1 | 4 |
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