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Data Assimilation on ERA5 SO-10% (4 held-out trajectories from 2016)

0.019Z500 NRMSEForcingDAS-FS
0.01740.02820.0390.0498May 14, 2026

Evaluation results

MethodLinks
ForcingDAS-FSInference regime=Smoothing, Observation ratio=10%, Clean context frames=6, Noise level (σy)=0.05, Trajectory length=302026.050.0190.99700.0420.981-0.0010.1260.982-0.0010.1550.981-0.006
ForcingDAS-ARInference regime=Filtering, Observation ratio=10%, Clean context frames=6, Noise level (σy)=0.05, Trajectory length=302026.050.0230.996-0.0010.0470.976-0.0030.1330.98-0.0020.1640.979-0.006
ForcingDAS-PyrInference regime=Fix-lag Smoothing, Observation ratio=10%, Clean context frames=6, Noise level (σy)=0.05, Trajectory length=302026.050.0230.996-0.0010.0470.976-0.0030.1330.98-0.0020.1630.979-0.006
ForcingDAS-FSAlgorithm Category=Smoothing, Observation Sparsity (SO)=10%, Assimilation Window (K)=30, Context Setting=cold-start2026.050.0240.99600.0550.9730.0010.1630.9760.0010.2020.9740.004
ForcingDAS-ARAlgorithm Category=Filtering, Observation Sparsity (SO)=10%, Assimilation Window (K)=30, Context Setting=cold-start2026.050.0290.9940.0010.0610.9680.0040.1750.9720.0020.2130.9710.009
ForcingDAS-PyrAlgorithm Category=Fix-lag Smoothing, Observation Sparsity (SO)=10%, Assimilation Window (K)=30, Context Setting=cold-start2026.050.030.9940.0010.0620.9670.0030.1750.9720.0010.2140.9710.008
FlowDASInference regime=Filtering, Observation ratio=10%, Clean context frames=6, Noise level (σy)=0.05, Trajectory length=302026.050.0310.992-0.0070.0620.957-0.0070.1750.966-0.0160.2130.964-0.022
TensorVarInference regime=Smoothing, Observation ratio=10%, Clean context frames=6, Noise level (σy)=0.05, Trajectory length=302026.050.0370.989-0.0090.0590.962-0.0080.170.96700.2110.964-0.031
TensorVarAlgorithm Category=Smoothing, Observation Sparsity (SO)=10%, Assimilation Window (K)=30, Context Setting=cold-start2026.050.0490.9840.0130.0760.9490.0120.220.95400.2750.950.039
3D-VarAlgorithm Category=Filtering, Observation Sparsity (SO)=10%, Assimilation Window (K)=30, Context Setting=cold-start2026.050.0570.99900.0950.9950.0010.3930.9270.0090.4380.9010.001
3D-VarInference regime=Filtering, Observation ratio=10%, Clean context frames=6, Noise level (σy)=0.05, Trajectory length=302026.050.0590.97100.0940.90600.3920.8330.0030.4490.846-0.007