Learning 4DVAR inversion directly from observations
Learning 4DVAR inversion directly from observations
Arthur Filoche,J. Brajard,A. Charantonis,Dominique B'er'eziat
TLDR
This work designs a hybrid architecture learning the assimilation task directly from partial and noisy observations, using the mechanistic constraint of the 4DVAR algorithm, and shows that the proposed method was able to learn the desired inversion with interesting regularizing properties.
Abstract
Variational data assimilation and deep learning share many algorithmic aspects in common. While the former focuses on system state estimation, the latter provides great inductive biases to learn complex relationships. We here design a hybrid architecture learning the assimilation task directly from partial and noisy observations, using the mechanistic constraint of the 4DVAR algorithm. Finally, we show in an experiment that the proposed method was able to learn the desired inversion with interesting regularizing properties and that it also has computational interests.