Solving reaction-diffusion equations on Reaction-diffusion equation v=4, rho=5 1.0
0.0175Abs ErrorNaive-LR-PINN
Evaluation Results
| Method | Links | ||
|---|---|---|---|
| Naive-LR-PINNRank=30, Pre-training=false2023.10 | 0.0175 | 0.0312 | |
| Naive-LR-PINNRank=10, Pre-training=false2023.10 | 0.0333 | 0.0631 | |
| Naive-LR-PINNRank=20, Pre-training=false2023.10 | 0.0432 | 0.0791 | |
| Hyper-LR-PINN (Full rank)Rank=30, Pre-training=true2023.10 | 0.0439 | 0.085 | |
| Hyper-LR-PINN (Adaptive rank)Rank=30, Pre-training=true2023.10 | 0.044 | 0.0851 | |
| MAMLRank=50, Pre-training=true2023.10 | 0.0458 | 0.0767 | |
| MAMLRank=30, Pre-training=true2023.10 | 0.0481 | 0.0817 | |
| MAMLRank=40, Pre-training=true2023.10 | 0.0516 | 0.0874 | |
| MAMLRank=10, Pre-training=true2023.10 | 0.0522 | 0.0873 | |
| Naive-LR-PINNRank=40, Pre-training=false2023.10 | 0.0658 | 0.1128 | |
| Naive-LR-PINNRank=50, Pre-training=false2023.10 | 0.0794 | 0.1331 | |
| Curriculum learningRank=30, Pre-training=false2023.10 | 0.6628 | 0.963 | |
| Curriculum learningRank=20, Pre-training=false2023.10 | 0.6633 | 1.003 | |
| Curriculum learningRank=40, Pre-training=false2023.10 | 0.6667 | 0.9709 | |
| Curriculum learningRank=50, Pre-training=false2023.10 | 0.6693 | 0.9718 | |
| Curriculum learningRank=10, Pre-training=false2023.10 | 0.6862 | 0.9744 | |
| MAMLRank=20, Pre-training=true2023.10 | 0.6976 | 0.9408 | |
| ReptileRank=30, Pre-training=true2023.10 | 0.7088 | 0.9597 | |
| ReptileRank=50, Pre-training=true2023.10 | 0.7269 | 0.9856 | |
| ReptileRank=10, Pre-training=true2023.10 | 0.7284 | 0.9882 | |
| ReptileRank=40, Pre-training=true2023.10 | 0.7428 | 1.0068 | |
| ReptileRank=20, Pre-training=true2023.10 | 0.7443 | 1.0108 |