Solving Nonlinear PDEs on Nonlinear Heat n=64 (test)
0.0006Relative L2 ErrorBaldwinian-PINN
Evaluation results
| Method | Links | ||
|---|---|---|---|
| Baldwinian-PINNHardware=NVIDIA GeForce RTX 3090, Time phase=lifetime-learning (fine-tuning) phase2023.12 | 0.0006 | 0.87 | |
| RBF (multiquadric)Optimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.0044 | 35 | |
| MAMLOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.0045 | 188 | |
| CenterOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.0045 | 96 | |
| PolynomialOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.0046 | 38 | |
| MultitaskOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.0048 | 49 | |
| LMCOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.0049 | 59 | |
| RandomOptimization=ADAM (500) + L-BFGS, Time phase=L-BFGS optimization only2023.12 | 0.0052 | 156 |