PDE Discovery on NLS equation dataset
100TPRWeak-PDE-Net
Evaluation results
| Method | Links | ||||
|---|---|---|---|---|---|
| Weak-PDE-Netsigma_NR=0%, r=10%, Component=u2026.03 | 100 | 0.0124 | 0.0096 | 1.64 | |
| Weak-PDE-Netsigma_NR=0%, r=10%, Component=v2026.03 | 100 | 0.0101 | 0.0073 | 1.57 | |
| Weak-PDE-Netsigma_NR=0%, r=25%, Component=u2026.03 | 100 | 0.0049 | 0.0034 | 3.17 | |
| Weak-PDE-Netsigma_NR=0%, r=25%, Component=v2026.03 | 100 | 0.0034 | 0.0025 | 2.69 | |
| Weak-PDE-Netsigma_NR=0%, r=37.5%, Component=u2026.03 | 100 | 0.0043 | 0.0031 | 1.21 | |
| Weak-PDE-Netsigma_NR=0%, r=37.5%, Component=v2026.03 | 100 | 0.0022 | 0.0015 | 1.06 | |
| Weak-PDE-Netsigma_NR=0%, r=50%, Component=u2026.03 | 100 | 0.0041 | 0.0021 | 1.56 | |
| Weak-PDE-Netsigma_NR=0%, r=50%, Component=v2026.03 | 100 | 0.0024 | 0.0017 | 1.12 | |
| Weak-PDE-Netsigma_NR=20%, r=25%, Component=u2026.03 | 100 | 0.0142 | 0.01 | 1.71 | |
| Weak-PDE-Netsigma_NR=20%, r=25%, Component=v2026.03 | 100 | 0.0305 | 0.0219 | 1.64 | |
| Weak-PDE-Netsigma_NR=40%, r=25%, Component=u2026.03 | 100 | 0.075 | 0.0554 | 7.23 | |
| Weak-PDE-Netsigma_NR=40%, r=25%, Component=v2026.03 | 100 | 0.1376 | 0.1242 | 6.95 | |
| Weak-PDE-Netsigma_NR=60%, r=25%, Component=u2026.03 | 100 | 0.0979 | 0.0876 | 1.62 | |
| Weak-PDE-Netsigma_NR=60%, r=25%, Component=v2026.03 | 100 | 0.1516 | 0.1409 | 1.74 | |
| Weak-PDE-Netsigma_NR=80%, r=25%, Component=u2026.03 | 100 | 0.1288 | 0.0815 | 2.72 | |
| Weak-PDE-Netsigma_NR=80%, r=25%, Component=v2026.03 | 100 | 0.2336 | 0.1725 | 2.74 | |
| Weak-PDE-Netsigma_NR=100%, r=25%, Component=u2026.03 | 100 | 0.2414 | 0.2097 | 4.66 | |
| Weak-PDE-Netsigma_NR=100%, r=25%, Component=v2026.03 | 100 | 0.3755 | 0.1887 | 4.85 |