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Navier–Stokes inverse problem on InverseBench 128 x 128 (test)

0.12NRMSE (σnoise=0)EnKG
0.036680.599091.16151.72391May 28, 2026

Evaluation results

MethodLinks
EnKGRuntime (seconds)=3422.25, Hardware=NVIDIA H100 GPU, Prior=SGM-prior2026.050.120.1910.294
DPGRuntime (seconds)=5133.93, Hardware=NVIDIA H100 GPU, Prior=SGM-prior2026.050.3250.4080.466
ZO-APMCRuntime (seconds)=4531.61, Hardware=NVIDIA H100 GPU, Prior=SGM-prior, ZO smoothing parameter (μ)=0.01, Batch size (b)=1024, p=12026.050.4590.4630.472
SCGRuntime (seconds)=2112.72, Hardware=NVIDIA H100 GPU, Prior=SGM-prior2026.050.9080.9280.966
Forward-GSGRuntime (seconds)=4536.87, Hardware=NVIDIA H100 GPU, Prior=SGM-prior2026.051.6871.6121.454
Central-GSGRuntime (seconds)=4534.32, Hardware=NVIDIA H100 GPU, Prior=SGM-prior2026.052.2032.1171.746