Convection Equation Solution on Convection Equation beta=35
0.1269Max ErrorHyper-LR-PINN (Full rank)
Evaluation results
| Method | Links | ||
|---|---|---|---|
| Hyper-LR-PINN (Full rank)Rank=302023.10 | 0.1269 | 0.9941 | |
| Hyper-LR-PINN (Adaptive rank)Rank=302023.10 | 0.139 | 0.9936 | |
| Naïve-LR-PINNRank=40, Pre-training=false2023.10 | 1.0959 | 0.1949 | |
| Naïve-LR-PINNRank=50, Pre-training=false2023.10 | 1.0967 | 0.1999 | |
| Naïve-LR-PINNRank=20, Pre-training=false2023.10 | 1.1025 | 0.1546 | |
| Naïve-LR-PINNRank=10, Pre-training=false2023.10 | 1.1088 | 0.1592 | |
| ReptileRank=50, Pre-training=true2023.10 | 1.1377 | 0.1358 | |
| ReptileRank=40, Pre-training=true2023.10 | 1.148 | 0.1276 | |
| ReptileRank=10, Pre-training=true2023.10 | 1.154 | 0.126 | |
| MAMLRank=40, Pre-training=true2023.10 | 1.1603 | 0.1255 | |
| Curriculum learningRank=40, Pre-training=false2023.10 | 1.1646 | 0.1084 | |
| MAMLRank=30, Pre-training=true2023.10 | 1.1683 | 0.1172 | |
| Curriculum learningRank=10, Pre-training=false2023.10 | 1.1725 | 0.1177 | |
| ReptileRank=30, Pre-training=true2023.10 | 1.1752 | 0.1125 | |
| Curriculum learningRank=30, Pre-training=false2023.10 | 1.1753 | 0.1134 | |
| MAMLRank=50, Pre-training=true2023.10 | 1.1759 | 0.1119 | |
| Naïve-LR-PINNRank=30, Pre-training=false2023.10 | 1.1805 | 0.0784 | |
| Curriculum learningRank=20, Pre-training=false2023.10 | 1.1867 | 0.0693 | |
| Curriculum learningRank=50, Pre-training=false2023.10 | 1.1883 | 0.09 | |
| ReptileRank=20, Pre-training=true2023.10 | 1.1911 | 0.0966 | |
| MAMLRank=10, Pre-training=true2023.10 | 1.4062 | 0.0031 | |
| MAMLRank=20, Pre-training=true2023.10 | 1.4412 | -0.0047 |