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Filtering on Lorenz–63

5.744Average EW2Diffusion
5.259088.5322911.805515.07871Mar 22, 2026

Evaluation results

MethodLinks
DiffusionEnsemble size (N)=1000, Optimal Bandwidth (sigma_x)=0.025, Optimal Bandwidth (sigma_y)=0.25, Range of sampling steps=13 – 172026.035.744
DiffusionEnsemble size (N)=500, Optimal Bandwidth (sigma_x)=0.025, Optimal Bandwidth (sigma_y)=0.25, Range of sampling steps=12 – 162026.036.233
DiffusionEnsemble size (N)=250, Optimal Bandwidth (sigma_x)=0.050, Optimal Bandwidth (sigma_y)=0.25, Range of sampling steps=11 – 152026.036.553
DiffusionEnsemble size (N)=100, Optimal Bandwidth (sigma_x)=0.100, Optimal Bandwidth (sigma_y)=0.25, Range of sampling steps=10 – 132026.038.474
DiffusionEnsemble size (N)=50, Optimal Bandwidth (sigma_x)=0.100, Optimal Bandwidth (sigma_y)=0.50, Range of sampling steps=12 – 162026.039.774
EnKFEnsemble size (N)=5002026.0311.865
EnKFEnsemble size (N)=2502026.0312.017
DiffusionEnsemble size (N)=20, Optimal Bandwidth (sigma_x)=0.200, Optimal Bandwidth (sigma_y)=0.50, Range of sampling steps=9 – 122026.0312.809
EnKFEnsemble size (N)=10002026.0312.944
EnKFEnsemble size (N)=1002026.0313.768
EnKFEnsemble size (N)=502026.0313.773
EnKFEnsemble size (N)=202026.0314.768
SIREnsemble size (N)=10002026.0314.851
SIREnsemble size (N)=5002026.0315.332
SIREnsemble size (N)=2502026.0316.882
SIREnsemble size (N)=1002026.0317.4
SIREnsemble size (N)=202026.0317.44
SIREnsemble size (N)=502026.0317.867