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Inverse PDE solving on Helmholtz full observations

0.049Relative ErrorPINO
-1.117046.7537314.624522.49527Jun 25, 2024Sep 20, 2024Dec 16, 2024Mar 14, 2025Jun 9, 2025Sep 4, 2025Dec 1, 2025

Evaluation results

MethodLinks
PINO2025.120.0492.75
FNO2025.120.055.67
PRISMASteps (N)=50, Inference Time=0.82025.120.10762.75
PRISMASteps (N)=20, Inference Time=0.182025.120.11033.81
FunDPS*Steps (N)=500, Inference Time=11.782025.120.13883.69
FunDPS*Steps (N)=200, Inference Time=4.722025.120.18484.38
DiffusionPDE*Steps (N)=2000, Inference Time=2132025.120.18975.88
DeepONet2025.120.2818.17
PINNs2025.120.2929
DiffusionPDEObservation=Full2024.064—
PINOObservation=Full2024.064.9—
FNOObservation=Full2024.065—
DeepONetObservation=Full2024.0628.1—
PINNsObservation=Full2024.0629.2—