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Heat Conduction Equation Solving on Heat conduction problem

0Relative L2 ErrorAEH-PINN
-0.0397490.2286280.4970050.765382Dec 19, 2025Jan 14, 2026Feb 9, 2026Mar 7, 2026Apr 2, 2026Apr 28, 2026May 24, 2026

Evaluation results

MethodLinks
AEH-PINN2025.120—
CL-Reg2025.120.0009—
CAMLBackbone=MLP2026.050.00121,577
DB-PINNBackbone=PINNsFormer2026.050.00171,159
AAPINN2025.120.0026—
CAMLBackbone=PINNsFormer2026.050.004746
SA-PINNBackbone=MLP2026.050.00478,958
CAMLBackbone=PirateNets2026.050.005713
BRDRBackbone=MLP2026.050.005615,213
PINNBackbone=MLP2026.050.007510,127
PINNBackbone=PirateNets2026.050.00861,141
SA-PINNBackbone=PINNsFormer2026.050.01231,649
BRDRBackbone=PINNsFormer2026.050.01671,941
SAPINN2025.120.0266—
PINNBackbone=PINNsFormer2026.050.0341,599
DB-PINNBackbone=MLP2026.050.06826,988
SA-PINNBackbone=PirateNets2026.050.08644,713
L∞-PINNBackbone=PirateNets2026.050.1017,721
L∞-PINNBackbone=PINNsFormer2026.050.1411,912
DB-PINNBackbone=PirateNets2026.050.31212,689
L∞-PINNBackbone=MLP2026.050.507—
BRDRBackbone=PirateNets2026.050.5515,245
SelectNet2025.120.579—
RAD2025.120.994—