PDE Solving on Darcy-Flow 2d (test)
0.0001Relative MSEFactFormer
Evaluation Results
| Method | Links | |
|---|---|---|
| FactFormerModel Variant=Large, Peak GPU memory (GB)=13.0, Number of Parameters=7.3M, Averaged training time (s/epoch)=4.82026.03 | 0.0001 | |
| FactFormerModel Variant=Medium, Peak GPU memory (GB)=2.9, Number of Parameters=476.1K, Averaged training time (s/epoch)=1.02026.03 | 0.0001 | |
| DynFormerModel Variant=Large, Peak GPU memory (GB)=14.1, Number of Parameters=3.4M, Averaged training time (s/epoch)=3.62026.03 | 0.0002 | |
| DynFormerModel Variant=Medium, Peak GPU memory (GB)=2.4, Number of Parameters=162.9K, Averaged training time (s/epoch)=1.42026.03 | 0.0003 | |
| DynFormerModel Variant=Tiny, Peak GPU memory (GB)=0.7, Number of Parameters=32.6K, Averaged training time (s/epoch)=0.72026.03 | 0.0004 | |
| FactFormerModel Variant=Tiny, Peak GPU memory (GB)=0.7, Number of Parameters=38.9K, Averaged training time (s/epoch)=0.42026.03 | 0.0008 | |
| TransolverModel Variant=Medium, Peak GPU memory (GB)=2.6, Number of Parameters=283.6K, Averaged training time (s/epoch)=1.02026.03 | 0.001 | |
| OFormerModel Variant=Large, Peak GPU memory (GB)=12.3, Number of Parameters=1.7M, Averaged training time (s/epoch)=4.52026.03 | 0.001 | |
| TransolverModel Variant=Tiny, Peak GPU memory (GB)=0.8, Number of Parameters=65.1K, Averaged training time (s/epoch)=0.42026.03 | 0.0013 | |
| OFormerModel Variant=Medium, Peak GPU memory (GB)=2.6, Number of Parameters=91.9K, Averaged training time (s/epoch)=0.92026.03 | 0.0031 | |
| OFormerModel Variant=Tiny, Peak GPU memory (GB)=0.9, Number of Parameters=11.6K, Averaged training time (s/epoch)=0.42026.03 | 0.0045 | |
| TransolverModel Variant=Large, Peak GPU memory (GB)=12.3, Number of Parameters=2.8M, Averaged training time (s/epoch)=4.62026.03 | 0.0069 | |
| ONOModel Variant=Medium, Peak GPU memory (GB)=3.1, Number of Parameters=151.0K, Averaged training time (s/epoch)=1.22026.03 | 0.0094 | |
| ONOModel Variant=Tiny, Peak GPU memory (GB)=0.9, Number of Parameters=25.6K, Averaged training time (s/epoch)=0.52026.03 | 0.0095 | |
| OursTraining Paradigm=Hybrid2024.10 | 0.0162 | |
| Neural SolverLearning Paradigm=Neural Solver2024.10 | 0.0187 | |
| MLP + basisLearning Paradigm=Supervised2024.10 | 0.0356 | |
| MLP + basisTraining Paradigm=Supervised2024.10 | 0.0378 | |
| GNOTModel Variant=Tiny, Peak GPU memory (GB)=0.8, Number of Parameters=8.0K, Averaged training time (s/epoch)=0.52026.03 | 0.076 | |
| GNOTModel Variant=Medium, Peak GPU memory (GB)=3.1, Number of Parameters=103.5K, Averaged training time (s/epoch)=1.22026.03 | 0.076 | |
| GNOTModel Variant=Large, Peak GPU memory (GB)=11.6, Number of Parameters=786.1K, Averaged training time (s/epoch)=4.12026.03 | 0.0762 | |
| PINOLearning Paradigm=Hybrid2024.10 | 0.101 | |
| PINOTraining Paradigm=Hybrid2024.10 | 0.117 | |
| PI-DeepONetTraining Paradigm=Hybrid2024.10 | 0.272 | |
| PI-DeepONetLearning Paradigm=Hybrid2024.10 | 0.276 | |
| ONOModel Variant=Large, Peak GPU memory (GB)=11.3, Number of Parameters=1.2M, Averaged training time (s/epoch)=4.02026.03 | 0.337 | |
| PO-DeepONetTraining Paradigm=Unsupervised2024.10 | 0.832 | |
| PO-DeepONetLearning Paradigm=Unsupervised2024.10 | 0.833 | |
| PINNS-multi-optLearning Paradigm=Unsupervised2024.10 | 0.838 | |
| P2INNsLearning Paradigm=Unsupervised2024.10 | 0.838 | |
| PPINNsLearning Paradigm=Unsupervised2024.10 | 0.847 | |
| PINNs+L-BFGSLearning Paradigm=Unsupervised2024.10 | 0.999 | |
| PPINNsTraining Paradigm=Unsupervised2024.10 | 0.999 |