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Solving Nonlinear PDEs on Diffusion-reaction n = 64 (test)

0.0001Relative L2 ErrorBaldwinian-PINN
-0.0003050.002630.0055650.0085Dec 6, 2023

Evaluation results

MethodLinks
Baldwinian-PINNHardware=NVIDIA GeForce RTX 3090, Time phase=lifetime-learning (fine-tuning) phase2023.120.00010.58
RBF (multiquadric)Optimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.120.0081280
PolynomialOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.120.0085249
MultitaskOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.120.009243
LMCOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.120.0091302
CenterOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.120.0095426
RandomOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.120.0111,073