PDE Discovery on Sine-Gordon (SG) equation dataset
100TPRWeak-PDE-Net
Evaluation Results
| Method | Links | ||||
|---|---|---|---|---|---|
| Weak-PDE-NetNoise Ratio (sigma_NR)=0%, Sample Ratio (r)=2.5%2026.03 | 100 | 0.3004 | 0.18 | 1.02 | |
| Weak-PDE-NetNoise Ratio (sigma_NR)=0%, Sample Ratio (r)=5.0%2026.03 | 100 | 0.2608 | 0.1804 | 9.68 | |
| Weak-PDE-NetNoise Ratio (sigma_NR)=0%, Sample Ratio (r)=10%2026.03 | 100 | 0.1341 | 0.1052 | 3.08 | |
| Weak-PDE-NetNoise Ratio (sigma_NR)=0%, Sample Ratio (r)=25%2026.03 | 100 | 0.1772 | 0.1026 | 3.21 | |
| Weak-PDE-NetNoise Ratio (sigma_NR)=0%, Sample Ratio (r)=50%2026.03 | 100 | 0.1689 | 0.0976 | 3.95 | |
| Weak-PDE-NetNoise Ratio (sigma_NR)=20%, Sample Ratio (r)=10%2026.03 | 100 | 0.1351 | 0.0822 | 3.13 | |
| Weak-PDE-NetNoise Ratio (sigma_NR)=40%, Sample Ratio (r)=10%2026.03 | 100 | 0.1845 | 0.1296 | 3.01 | |
| Weak-PDE-NetNoise Ratio (sigma_NR)=60%, Sample Ratio (r)=10%2026.03 | 100 | 0.2406 | 0.1441 | 3.45 | |
| Weak-PDE-NetNoise Ratio (sigma_NR)=80%, Sample Ratio (r)=10%2026.03 | 100 | 0.5467 | 0.3297 | 5.89 | |
| Weak-PDE-NetNoise Ratio (sigma_NR)=100%, Sample Ratio (r)=10%2026.03 | 100 | 0.5706 | 0.3466 | 6.38 |