“…Hybrid Learning (HyL), or gray box modelling as called in its early days in the 90's (Psichogios & Ungar, 1992;Rico-Martinez et al, 1994;Thompson & Kramer, 1994;Rivera-Sampayo & Vélez-Reyes, 2001;Braun & Chaturvedi, 2002), has been an appropriate method to learn models that are both expressive and interpretable, while also allowing them to be learnt on fewer data. The interest for HyL (Mehta et al, 2020;Lei & Mirams, 2021;Reichstein et al, 2019;Saha et al, 2020;Guen & Thome, 2020;Levine & Stuart, 2021;Espeholt et al, 2021) has greatly renewed since the outbreak of recent neural network architectures that simplify the combination of physical equations within ML models. As an example, Neural ODE (Chen et al, 2018) and convolutional neural networks (LeCun et al, 1995, CNN) are privileged architectures to work with dynamical systems described by ODEs or PDEs.…”