PDE Reconstruction on Poisson 3% uniformly random measurements
7.81Coefficient Rel L2 Error (%)Ambient Flow
Evaluation Results
| Method | Links | ||
|---|---|---|---|
| Ambient FlowPartial Obs. Training=true, NFE=42026.02 | 7.81 | 0.45 | |
| Ambient FlowPartial Obs. Training=true, NFE=162026.02 | 7.81 | 0.45 | |
| Ambient FlowPartial Obs. Training=true, NFE=12026.02 | 7.86 | 0.48 | |
| FunDPSPartial Obs. Training=false, NFE=5002026.02 | 20.47 | 1.99 | |
| DiffusionPDEPartial Obs. Training=false, NFE=20002026.02 | 21.1 | 4.88 | |
| FunDPSPartial Obs. Training=false, NFE=2002026.02 | 24.04 | 2.04 | |
| DeepONetPartial Obs. Training=false2026.02 | 105.8 | 155.5 | |
| PINNPartial Obs. Training=false2026.02 | 130 | 128.1 | |
| PINOPartial Obs. Training=false2026.02 | 231.9 | 107.1 | |
| FNOPartial Obs. Training=false2026.02 | 232.7 | 100.9 |