Solving Nonlinear PDEs on Burgers’ equation n = 32 (test)
0.0004Relative L2 ErrorBaldwinian-PINN
Evaluation results
| Method | Links | ||
|---|---|---|---|
| Baldwinian-PINNHardware=NVIDIA GeForce RTX 3090, Time phase=lifetime-learning (fine-tuning) phase2023.12 | 0.0004 | 1.96 | |
| MultitaskOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.0007 | 24 | |
| PolynomialOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.0007 | 7 | |
| LMCOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.0008 | 40 | |
| RBF (multiquadric)Optimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.0008 | 7 | |
| CenterOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.0009 | 56 | |
| RandomOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.0012 | 105 | |
| MAMLOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.0017 | 125 |