Generative Modeling on Darcy flow 1024 samples (test)
0.022Relative ErrorPIDM
Evaluation results
| Method | Links | |||||
|---|---|---|---|---|---|---|
| PIDMArchitecture=UNet architecture from Bastek et al. (2025)2025.06 | 0.022 | 3.103 | 3.179 | 100 | 2.05 | |
| PBFMdescription=Physics-Based Flow Matching (Ours)2025.06 | 0.838 | 0.138 | 0.256 | 20 | 0.101 | |
| CoCoGenArchitecture=UNet architecture from Bastek et al. (2025)2025.06 | 1.32 | 0.249 | 0.36 | 100 | 7.395 | |
| D-FlowSample Filtering=RE < 5 condition (resulting in 888 valid ones)2025.06 | 2.286 | 0.147 | 0.237 | 20 | 3.126 | |
| ECIPhysical Constraint Scope=Applied only to Boundary Conditions (BCs)2025.06 | 3.045 | 2.892 | 2.818 | 20 | 0.122 | |
| DiffusionPDE2025.06 | 3.388 | 0.089 | 0.139 | 20 | 0.59 | |
| FM-OT2025.06 | 4.159 | 0.059 | 0.131 | 20 | 0.1 |