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ResearchFormerly WizWand

Data Assimilation

Benchmarks

DatasetSOTA methodMetricTrendResultsLast updated

Kolmogorov flow short horizon 60 steps

0.016RMSE

63

May 12, 2026

Kuramoto–Sivashinsky long horizon 640 steps

0.006RMSE

45

May 12, 2026

Kuramoto–Sivashinsky short horizon 140 steps

0.006RMSE

45

May 12, 2026

Kolmogorov flow long horizon 180 steps

0.016RMSE

45

May 12, 2026

SDA (filtering)

1.13CRPS

24

Feb 26, 2026

20-dimensional Lorenz–96 system S = 10 independent simulations

0.747Average ERMSE

18

Mar 24, 2026

ERA5 2022-01-03 06 UTC snapshot v1 (test)

0.54T2M (Temp 2m)

16

Feb 26, 2026

Example 2 Advection-diffusion-reaction system

7.17Relative Error (ERel,1:T)

12

Mar 10, 2026

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

0.019Z500 NRMSE

11

May 15, 2026

Lorenz-96 Delta t = 0.2

0.153Relative RMSE

11

Mar 10, 2026

Lorenz-96 Delta t = 0.1

0.143Relative RMSE

11

Mar 10, 2026

100-dimensional nonlinear toy dynamical system (test)

1.424Relative Error (1:T)

10

Mar 10, 2026

0.05RMSE

8

May 19, 2026

ERA5 MS-8 (test)

1.43RMSE

8

May 12, 2026

ERA5 MS-4 (test)

1.32RMSE

8

May 12, 2026

ERA5 MS-2 (test)

0.98RMSE

8

May 12, 2026

Kuramoto-Sivashinsky

0.12Total Variation (TV)

8

May 12, 2026

Kolmogorov flow

0Dissipation

8

May 12, 2026

ERA5 DS-8 (test)

0.99RMSE

7

May 12, 2026

ERA5 DS-4 (test)

0.75RMSE

7

May 12, 2026

ERA5 DS-2 (test)

0.68RMSE

7

May 12, 2026

Lorenz 1963 (eval)

0.05RMSE

6

May 19, 2026

Weather forecast dataset (SEVIR) (test)

FlowDAS + SURGE

0.051RMSE

6

May 19, 2026

1.35SSR

6

Feb 26, 2026

0.96SSR

6

Feb 26, 2026