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Solving Elliptic Partial Differential Equations on PDEZoo 5,000-instance (test)

47.8PSNR (dB)WoS
6.137616.953827.7738.5862May 10, 2026

Evaluation results

MethodLinks
WoSSampling budget (B)=65536, Category=Walk-on-Spheres (Monte Carlo)2026.0547.842.3071.110.1263
WoSSampling budget (B)=32768, Category=Walk-on-Spheres (Monte Carlo)2026.0544.9839.4861.880.1592
MC2Category=Neural Network Methods2026.0544.939.411.940.0164
WoSSampling budget (B)=16384, Category=Walk-on-Spheres (Monte Carlo)2026.0542.1436.6443.130.1964
NON-LOCAL MEANSApplied to=B = 8 WoS, Category=Traditional Denoisers2026.0526.6321.1341.930.3212
TOTAL VARIATIONApplied to=B = 8 WoS, Category=Traditional Denoisers2026.0524.6319.1412.710.2613
GAUSSIANApplied to=B = 8 WoS, Category=Traditional Denoisers2026.0518.8513.3615.060.4032
GAUSSIAN (HEAVY)Applied to=B = 8 WoS, Category=Traditional Denoisers2026.0517.6612.1644.060.2832
WoSSampling budget (B)=8, Category=Walk-on-Spheres (Monte Carlo)2026.0515.269.7738.020.7275
COCOGENCategory=Neural Network Methods2026.058.252.6741.780.5597
DIFFUSIONPDECategory=Neural Network Methods2026.058.252.6741.780.56
PINOCategory=Neural Network Methods2026.058.242.7452.490.3753
FNOCategory=Neural Network Methods2026.057.742.2512.580.379