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Vorticity Assimilation on Navier–Stokes SO-5% sparse-pixel observations (held-out trajectories)

0.025NRMSESDA
0.02180.04340.0650.0866May 14, 2026

Evaluation results

MethodLinks
SDAAssimilation Mode=Full-sequence Smoothing, Context Protocol=cold-start (no clean context), Observation Sparsity=5%, Observation Noise=0.052026.050.025—0.058—0.097
ForcingDAS-FSAssimilation Mode=Full-sequence Smoothing, Context Protocol=10 clean context frames, Observation Sparsity=5%, Observation Noise=0.052026.050.0680.0980.1390.2480.188
ForcingDAS-ARAssimilation Mode=Filtering, Context Protocol=10 clean context frames, Observation Sparsity=5%, Observation Noise=0.052026.050.0710.1020.150.2750.207
ForcingDAS-PyrAssimilation Mode=Fix-lag Smoothing, Context Protocol=10 clean context frames, Observation Sparsity=5%, Observation Noise=0.052026.050.0720.1080.1590.2790.213
FlowDASAssimilation Mode=Filtering, Context Protocol=10 clean context frames, Observation Sparsity=5%, Observation Noise=0.052026.050.0920.2420.2781.7921.031
EnKFAssimilation Mode=Filtering, Context Protocol=10 clean context frames, Observation Sparsity=5%, Observation Noise=0.052026.050.0970.5430.4120.780.612
EnKSAssimilation Mode=Fix-lag Smoothing, Context Protocol=10 clean context frames, Observation Sparsity=5%, Observation Noise=0.052026.050.1050.5660.2340.5170.417
EnKSAssimilation Mode=Full-sequence Smoothing, Context Protocol=cold-start (no clean context), Observation Sparsity=5%, Observation Noise=0.052026.050.1050.4990.2350.5010.401