PDE Discovery on 1D viscous Burgers equation
100TPRWeak-PDE-Net
Evaluation Results
| Method | Links | ||||
|---|---|---|---|---|---|
| Weak-PDE-NetNoise Level (sigma_NR)=0%, Sampling Ratio (r)=2.5%2026.03 | 100 | 0.0589 | 0.0557 | 2.97 | |
| Weak-PDE-NetNoise Level (sigma_NR)=0%, Sampling Ratio (r)=5.0%2026.03 | 100 | 0.0184 | 0.0182 | 1.54 | |
| Weak-PDE-NetNoise Level (sigma_NR)=0%, Sampling Ratio (r)=10%2026.03 | 100 | 0.0096 | 0.0095 | 7.14 | |
| Weak-PDE-NetNoise Level (sigma_NR)=0%, Sampling Ratio (r)=25%2026.03 | 100 | 0.0213 | 0.0047 | 5.07 | |
| Weak-PDE-NetNoise Level (sigma_NR)=0%, Sampling Ratio (r)=50%2026.03 | 100 | 0.0012 | 0.0008 | 4.84 | |
| Weak-PDE-NetNoise Level (sigma_NR)=20%, Sampling Ratio (r)=10%2026.03 | 100 | 0.0127 | 0.0125 | 3.14 | |
| Weak-PDE-NetNoise Level (sigma_NR)=40%, Sampling Ratio (r)=10%2026.03 | 100 | 0.0467 | 0.0453 | 9.74 | |
| Weak-PDE-NetNoise Level (sigma_NR)=60%, Sampling Ratio (r)=10%2026.03 | 100 | 0.0792 | 0.0567 | 2.69 | |
| Weak-PDE-NetNoise Level (sigma_NR)=80%, Sampling Ratio (r)=10%2026.03 | 100 | 0.1627 | 0.1233 | 4.59 | |
| Weak-PDE-NetNoise Level (sigma_NR)=100%, Sampling Ratio (r)=10%2026.03 | 100 | 0.1844 | 0.1814 | 6.45 |