Solving reaction-diffusion equations on Reaction-diffusion equation v=7, rho=5 1.0
0.0796Absolute ErrorHyper-LR-PINN (Full rank)
Evaluation Results
| Method | Links | ||
|---|---|---|---|
| Hyper-LR-PINN (Full rank)Rank=30, Pre-training=true2023.10 | 0.0796 | 0.1262 | |
| Hyper-LR-PINN (Adaptive rank)Rank=30, Pre-training=true2023.10 | 0.08 | 0.1269 | |
| Naive-LR-PINNRank=30, Pre-training=false2023.10 | 0.0907 | 0.1381 | |
| Naive-LR-PINNRank=10, Pre-training=false2023.10 | 0.0926 | 0.143 | |
| Naive-LR-PINNRank=40, Pre-training=false2023.10 | 0.1065 | 0.1666 | |
| Naive-LR-PINNRank=20, Pre-training=false2023.10 | 0.1158 | 0.1785 | |
| Naive-LR-PINNRank=50, Pre-training=false2023.10 | 0.1417 | 0.2231 | |
| MAMLRank=40, Pre-training=true2023.10 | 0.1571 | 0.2218 | |
| MAMLRank=50, Pre-training=true2023.10 | 0.1674 | 0.2287 | |
| MAMLRank=10, Pre-training=true2023.10 | 0.1676 | 0.2312 | |
| MAMLRank=30, Pre-training=true2023.10 | 0.1679 | 0.2306 | |
| Curriculum learningRank=30, Pre-training=false2023.10 | 0.2463 | 0.3696 | |
| Curriculum learningRank=50, Pre-training=false2023.10 | 0.256 | 0.3837 | |
| Curriculum learningRank=40, Pre-training=false2023.10 | 0.2583 | 0.3926 | |
| Curriculum learningRank=10, Pre-training=false2023.10 | 0.2754 | 0.414 | |
| Curriculum learningRank=20, Pre-training=false2023.10 | 0.2935 | 0.4473 | |
| MAMLRank=20, Pre-training=true2023.10 | 0.7135 | 0.9485 | |
| ReptileRank=30, Pre-training=true2023.10 | 0.7379 | 0.9811 | |
| ReptileRank=50, Pre-training=true2023.10 | 0.7583 | 1.009 | |
| ReptileRank=10, Pre-training=true2023.10 | 0.7607 | 1.0127 | |
| ReptileRank=20, Pre-training=true2023.10 | 0.776 | 1.0341 | |
| ReptileRank=40, Pre-training=true2023.10 | 0.7763 | 1.0327 |