PDE Reconstruction on Darcy Flow 3% uniformly random measurements
2.07Coefficient Rel L2 ErrorAmbient Flow
Evaluation Results
| Method | Links | ||
|---|---|---|---|
| Ambient FlowPartial Obs. Training=true, NFE=42026.02 | 2.07 | 0.74 | |
| Ambient FlowPartial Obs. Training=true, NFE=162026.02 | 2.07 | 0.74 | |
| Ambient FlowPartial Obs. Training=true, NFE=12026.02 | 2.08 | 0.76 | |
| FunDPSPartial Obs. Training=false, NFE=5002026.02 | 5.18 | 2.49 | |
| FunDPSPartial Obs. Training=false, NFE=2002026.02 | 6.78 | 2.88 | |
| DiffusionPDEPartial Obs. Training=false, NFE=20002026.02 | 7.87 | 6.07 | |
| DeepONetPartial Obs. Training=false2026.02 | 41.1 | 38.3 | |
| PINOPartial Obs. Training=false2026.02 | 49.2 | 35.2 | |
| FNOPartial Obs. Training=false2026.02 | 49.3 | 28.2 | |
| PINNPartial Obs. Training=false2026.02 | 59.7 | 48.8 |