Solving Elliptic Partial Differential Equations on PDEZoo 5,000-instance (test)
47.8PSNR (dB)WoS
Evaluation Results
| Method | Links | ||||
|---|---|---|---|---|---|
| WoSSampling budget (B)=65536, Category=Walk-on-Spheres (Monte Carlo)2026.05 | 47.8 | 42.307 | 1.11 | 0.1263 | |
| WoSSampling budget (B)=32768, Category=Walk-on-Spheres (Monte Carlo)2026.05 | 44.98 | 39.486 | 1.88 | 0.1592 | |
| MC2Category=Neural Network Methods2026.05 | 44.9 | 39.41 | 1.94 | 0.0164 | |
| WoSSampling budget (B)=16384, Category=Walk-on-Spheres (Monte Carlo)2026.05 | 42.14 | 36.644 | 3.13 | 0.1964 | |
| NON-LOCAL MEANSApplied to=B = 8 WoS, Category=Traditional Denoisers2026.05 | 26.63 | 21.134 | 1.93 | 0.3212 | |
| TOTAL VARIATIONApplied to=B = 8 WoS, Category=Traditional Denoisers2026.05 | 24.63 | 19.141 | 2.71 | 0.2613 | |
| GAUSSIANApplied to=B = 8 WoS, Category=Traditional Denoisers2026.05 | 18.85 | 13.361 | 5.06 | 0.4032 | |
| GAUSSIAN (HEAVY)Applied to=B = 8 WoS, Category=Traditional Denoisers2026.05 | 17.66 | 12.164 | 4.06 | 0.2832 | |
| WoSSampling budget (B)=8, Category=Walk-on-Spheres (Monte Carlo)2026.05 | 15.26 | 9.773 | 8.02 | 0.7275 | |
| COCOGENCategory=Neural Network Methods2026.05 | 8.25 | 2.674 | 1.78 | 0.5597 | |
| DIFFUSIONPDECategory=Neural Network Methods2026.05 | 8.25 | 2.674 | 1.78 | 0.56 | |
| PINOCategory=Neural Network Methods2026.05 | 8.24 | 2.745 | 2.49 | 0.3753 | |
| FNOCategory=Neural Network Methods2026.05 | 7.74 | 2.251 | 2.58 | 0.379 |