PDE Discovery on Kuramoto-Sivashinsky (KS) Equation
100TPRWeak-PDE-Net
Evaluation results
| Method | Links | ||||
|---|---|---|---|---|---|
| Weak-PDE-NetNoise Level (sigma_NR)=0%, Sampling Ratio (r)=2.5%2026.03 | 100 | 0.0173 | 0.0149 | 4.47 | |
| Weak-PDE-NetNoise Level (sigma_NR)=0%, Sampling Ratio (r)=5.0%2026.03 | 100 | 0.0076 | 0.0045 | 2.13 | |
| Weak-PDE-NetNoise Level (sigma_NR)=0%, Sampling Ratio (r)=10%2026.03 | 100 | 0.012 | 0.0042 | 2.77 | |
| Weak-PDE-NetNoise Level (sigma_NR)=0%, Sampling Ratio (r)=25%2026.03 | 100 | 0.0055 | 0.0021 | 1.66 | |
| Weak-PDE-NetNoise Level (sigma_NR)=0%, Sampling Ratio (r)=50%2026.03 | 100 | 0.0032 | 0.0029 | 1.01 | |
| Weak-PDE-NetNoise Level (sigma_NR)=20%, Sampling Ratio (r)=25%2026.03 | 100 | 0.0054 | 0.0034 | 4.34 | |
| Weak-PDE-NetNoise Level (sigma_NR)=40%, Sampling Ratio (r)=25%2026.03 | 100 | 0.0165 | 0.0113 | 8.63 | |
| Weak-PDE-NetNoise Level (sigma_NR)=60%, Sampling Ratio (r)=25%2026.03 | 100 | 0.0405 | 0.0288 | 3.57 | |
| Weak-PDE-NetNoise Level (sigma_NR)=80%, Sampling Ratio (r)=25%2026.03 | 100 | 0.0622 | 0.0314 | 5.74 | |
| Weak-PDE-NetNoise Level (sigma_NR)=100%, Sampling Ratio (r)=25%2026.03 | 100 | 0.0882 | 0.0678 | 1.18 |