Heat Conduction Equation Solving on Heat conduction problem
0Relative L2 ErrorAEH-PINN
Evaluation Results
| Method | Links | ||
|---|---|---|---|
| AEH-PINN2025.12 | 0 | — | |
| CL-Reg2025.12 | 0.0009 | — | |
| CAMLBackbone=MLP2026.05 | 0.0012 | 1,577 | |
| DB-PINNBackbone=PINNsFormer2026.05 | 0.0017 | 1,159 | |
| AAPINN2025.12 | 0.0026 | — | |
| CAMLBackbone=PINNsFormer2026.05 | 0.004 | 746 | |
| SA-PINNBackbone=MLP2026.05 | 0.0047 | 8,958 | |
| CAMLBackbone=PirateNets2026.05 | 0.005 | 713 | |
| BRDRBackbone=MLP2026.05 | 0.0056 | 15,213 | |
| PINNBackbone=MLP2026.05 | 0.0075 | 10,127 | |
| PINNBackbone=PirateNets2026.05 | 0.0086 | 1,141 | |
| SA-PINNBackbone=PINNsFormer2026.05 | 0.0123 | 1,649 | |
| BRDRBackbone=PINNsFormer2026.05 | 0.0167 | 1,941 | |
| SAPINN2025.12 | 0.0266 | — | |
| PINNBackbone=PINNsFormer2026.05 | 0.034 | 1,599 | |
| DB-PINNBackbone=MLP2026.05 | 0.0682 | 6,988 | |
| SA-PINNBackbone=PirateNets2026.05 | 0.0864 | 4,713 | |
| L∞-PINNBackbone=PirateNets2026.05 | 0.101 | 7,721 | |
| L∞-PINNBackbone=PINNsFormer2026.05 | 0.141 | 1,912 | |
| DB-PINNBackbone=PirateNets2026.05 | 0.312 | 12,689 | |
| L∞-PINNBackbone=MLP2026.05 | 0.507 | — | |
| BRDRBackbone=PirateNets2026.05 | 0.551 | 5,245 | |
| SelectNet2025.12 | 0.579 | — | |
| RAD2025.12 | 0.994 | — |