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Inverse Parameter Estimation on 2D Heat Equation

0.984Kappa Hat EstimatetrSQP-PINN
0.0576720.2981610.538650.779139May 8, 2026

Evaluation results

MethodLinks
trSQP-PINNinitialization=κ = 12026.050.9840.884
AL-PINNinitialization=κ = 12026.050.1020.002
AdamFLIPinitialization=κ = 12026.050.09950.0005
Standard PINNinitialization=κ = 12026.050.09910.0009
FL-PINNinitialization=κ = 12026.050.09330.0067