Navier–Stokes inverse problem on InverseBench 128 x 128 (test)
0.12NRMSE (σnoise=0)EnKG
Evaluation Results
| Method | Links | |||
|---|---|---|---|---|
| EnKGRuntime (seconds)=3422.25, Hardware=NVIDIA H100 GPU, Prior=SGM-prior2026.05 | 0.12 | 0.191 | 0.294 | |
| DPGRuntime (seconds)=5133.93, Hardware=NVIDIA H100 GPU, Prior=SGM-prior2026.05 | 0.325 | 0.408 | 0.466 | |
| ZO-APMCRuntime (seconds)=4531.61, Hardware=NVIDIA H100 GPU, Prior=SGM-prior, ZO smoothing parameter (μ)=0.01, Batch size (b)=1024, p=12026.05 | 0.459 | 0.463 | 0.472 | |
| SCGRuntime (seconds)=2112.72, Hardware=NVIDIA H100 GPU, Prior=SGM-prior2026.05 | 0.908 | 0.928 | 0.966 | |
| Forward-GSGRuntime (seconds)=4536.87, Hardware=NVIDIA H100 GPU, Prior=SGM-prior2026.05 | 1.687 | 1.612 | 1.454 | |
| Central-GSGRuntime (seconds)=4534.32, Hardware=NVIDIA H100 GPU, Prior=SGM-prior2026.05 | 2.203 | 2.117 | 1.746 |