Convection Equation Solution on Convection Equation beta=30
0.1229Maximum ErrorHyper-LR-PINN (Adaptive rank)
Evaluation results
| Method | Links | ||
|---|---|---|---|
| Hyper-LR-PINN (Adaptive rank)Rank=302023.10 | 0.1229 | 0.9957 | |
| Hyper-LR-PINN (Full rank)Rank=302023.10 | 0.127 | 0.9959 | |
| Curriculum learningRank=40, Pre-training=false2023.10 | 0.9798 | 0.6097 | |
| Curriculum learningRank=20, Pre-training=false2023.10 | 1.0188 | 0.5539 | |
| Curriculum learningRank=10, Pre-training=false2023.10 | 1.0303 | 0.5321 | |
| Curriculum learningRank=50, Pre-training=false2023.10 | 1.0346 | 0.5257 | |
| Curriculum learningRank=30, Pre-training=false2023.10 | 1.0417 | 0.5084 | |
| Naïve-LR-PINNRank=20, Pre-training=false2023.10 | 1.0961 | 0.2322 | |
| Naïve-LR-PINNRank=10, Pre-training=false2023.10 | 1.1096 | 0.2067 | |
| Naïve-LR-PINNRank=50, Pre-training=false2023.10 | 1.1114 | 0.2709 | |
| Naïve-LR-PINNRank=40, Pre-training=false2023.10 | 1.114 | 0.285 | |
| ReptileRank=40, Pre-training=true2023.10 | 1.124 | 0.1712 | |
| ReptileRank=50, Pre-training=true2023.10 | 1.143 | 0.1592 | |
| MAMLRank=30, Pre-training=true2023.10 | 1.1445 | 0.1662 | |
| MAMLRank=40, Pre-training=true2023.10 | 1.158 | 0.1542 | |
| ReptileRank=10, Pre-training=true2023.10 | 1.1645 | 0.1445 | |
| MAMLRank=50, Pre-training=true2023.10 | 1.167 | 0.1428 | |
| ReptileRank=30, Pre-training=true2023.10 | 1.178 | 0.1214 | |
| ReptileRank=20, Pre-training=true2023.10 | 1.181 | 0.1008 | |
| Naïve-LR-PINNRank=30, Pre-training=false2023.10 | 1.1901 | 0.1314 | |
| MAMLRank=10, Pre-training=true2023.10 | 1.355 | 0.005 | |
| MAMLRank=20, Pre-training=true2023.10 | 1.4006 | 0.0074 |