Solving Nonlinear PDEs on Allen-Cahn (n=32, test)
0.001Relative L2 ErrorBaldwinian-PINN
Evaluation results
| Method | Links | ||
|---|---|---|---|
| Baldwinian-PINNHardware=NVIDIA GeForce RTX 3090, Time phase=lifetime-learning (fine-tuning) phase2023.12 | 0.001 | 1.19 | |
| LMCOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.011 | 120 | |
| CenterOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.012 | 201 | |
| MultitaskOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.012 | 120 | |
| RBF (multiquadric)Optimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.012 | 68 | |
| PolynomialOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.012 | 44 | |
| RandomOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.015 | 496 |