Convection Equation Solution on Convection Equation beta=40
0.2437Max ErrorHyper-LR-PINN (Full rank)
Evaluation results
| Method | Links | ||
|---|---|---|---|
| Hyper-LR-PINN (Full rank)Rank=302023.10 | 0.2437 | 98.75 | |
| Hyper-LR-PINN (Adaptive rank)Rank=302023.10 | 0.2672 | 98.48 | |
| Naïve-LR-PINNRank=40, Pre-training=false2023.10 | 1.1133 | 19.53 | |
| Naïve-LR-PINNRank=20, Pre-training=false2023.10 | 1.1259 | 12.25 | |
| Curriculum learningRank=10, Pre-training=false2023.10 | 1.1671 | 9.53 | |
| ReptileRank=40, Pre-training=true2023.10 | 1.1717 | 8.85 | |
| Naïve-LR-PINNRank=10, Pre-training=false2023.10 | 1.1718 | 10.08 | |
| ReptileRank=10, Pre-training=true2023.10 | 1.1741 | 9.08 | |
| Curriculum learningRank=20, Pre-training=false2023.10 | 1.1781 | 4.69 | |
| ReptileRank=50, Pre-training=true2023.10 | 1.1791 | 8.86 | |
| Naïve-LR-PINNRank=30, Pre-training=false2023.10 | 1.1853 | 7.57 | |
| Curriculum learningRank=30, Pre-training=false2023.10 | 1.1859 | 8.94 | |
| Curriculum learningRank=40, Pre-training=false2023.10 | 1.1864 | 8.43 | |
| MAMLRank=30, Pre-training=true2023.10 | 1.1878 | 7.87 | |
| Curriculum learningRank=50, Pre-training=false2023.10 | 1.188 | 7.3 | |
| MAMLRank=50, Pre-training=true2023.10 | 1.1987 | 7.43 | |
| ReptileRank=20, Pre-training=true2023.10 | 1.2091 | 7.15 | |
| ReptileRank=30, Pre-training=true2023.10 | 1.2095 | 8.17 | |
| MAMLRank=40, Pre-training=true2023.10 | 1.2176 | 7.89 | |
| Naïve-LR-PINNRank=50, Pre-training=false2023.10 | 1.245 | 9.47 | |
| MAMLRank=10, Pre-training=true2023.10 | 1.4451 | 0.07 | |
| MAMLRank=20, Pre-training=true2023.10 | 1.4981 | -0.75 |