Solving reaction-diffusion equations on Reaction-diffusion equation v=5, rho=5 1.0
0.0518Absolute ErrorHyper-LR-PINN (Full rank)
Evaluation Results
| Method | Links | ||
|---|---|---|---|
| Hyper-LR-PINN (Full rank)Rank=30, Pre-training=true2023.10 | 0.0518 | 0.0934 | |
| Hyper-LR-PINN (Adaptive rank)Rank=30, Pre-training=true2023.10 | 0.0519 | 0.0936 | |
| MAMLRank=10, Pre-training=true2023.10 | 0.0604 | 0.0998 | |
| MAMLRank=40, Pre-training=true2023.10 | 0.0678 | 0.1116 | |
| Naive-LR-PINNRank=30, Pre-training=false2023.10 | 0.0731 | 0.1161 | |
| MAMLRank=50, Pre-training=true2023.10 | 0.0733 | 0.1136 | |
| MAMLRank=30, Pre-training=true2023.10 | 0.0824 | 0.1258 | |
| Naive-LR-PINNRank=50, Pre-training=false2023.10 | 0.0875 | 0.1416 | |
| Naive-LR-PINNRank=40, Pre-training=false2023.10 | 0.0946 | 0.1569 | |
| Naive-LR-PINNRank=20, Pre-training=false2023.10 | 0.1001 | 0.1633 | |
| Naive-LR-PINNRank=10, Pre-training=false2023.10 | 0.1036 | 0.1688 | |
| Curriculum learningRank=40, Pre-training=false2023.10 | 0.7073 | 0.9968 | |
| Curriculum learningRank=30, Pre-training=false2023.10 | 0.7079 | 0.9928 | |
| Curriculum learningRank=20, Pre-training=false2023.10 | 0.7084 | 1.003 | |
| MAMLRank=20, Pre-training=true2023.10 | 0.7106 | 0.9511 | |
| Curriculum learningRank=50, Pre-training=false2023.10 | 0.7126 | 1.0036 | |
| Curriculum learningRank=10, Pre-training=false2023.10 | 0.7156 | 0.9985 | |
| ReptileRank=30, Pre-training=true2023.10 | 0.7198 | 0.9667 | |
| ReptileRank=50, Pre-training=true2023.10 | 0.739 | 0.9935 | |
| ReptileRank=10, Pre-training=true2023.10 | 0.7407 | 0.9964 | |
| ReptileRank=40, Pre-training=true2023.10 | 0.7563 | 1.0164 | |
| ReptileRank=20, Pre-training=true2023.10 | 0.7567 | 1.019 |