“…There are by mid 2021, dozens of ML papers in the literature dealing with the problem of estimating the dynamics of a system from observation, even when only focusing on typical low-order models used in the field of geoscience. The problem can be addressed by typical ML techniques, such as the projection on a regressor frame or basis, random forests, analogs, diffusion maps, echo state networks, LSTM and other neural network approaches (Brunton et al, 2016;Lguensat et al, 2017;Harlim, 2018;Pathak et al, 2018;Dueben and Bauer, 2018;Fablet et al, 2018;Scher and Messori, 2019;Weyn et al, 2019;Arcomano et al, 2020). It can also be solved using a conjunction of ML and data assimilation (DA) techniques to exploit noisy and incomplete observations such as those met in realistic geoscience systems Brajard et al, 2020;Bocquet et al, 2020a;Arcucci et al, 2021).…”