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Paper · arXiv

Accounting for model error in ensemble variational data assimilation through learned generative dynamics

Many approaches have recently been proposed to combine data assimilation with machine learning for improved forecasts with geophysical models. Here, we focus on combining advanced sequential data assimilation schemes with a generative forecasting model which accounts for complex model errors. This generative model provides a stochastic approximation of the conditional distribution of the successor state given the current state. The proposed variational formulation is a novel one-step weak-constraint 4D-Var scheme in which a learned conditional stochastic forecast replaces the prescribed additive Gaussian model error representation. We derive and implement this formulation as an ensemble v...

AuthorsMarc Bocquet, Tobias S. Finn, Sibo Cheng
Primary categorystat.ML
Published12 October 2026
Last updated at source12 October 2026
stat.MLcs.LGphysics.ao-ph
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