This afternoon I was privileged to examine Alex Glyn-Davies, who produced a great thesis on aspects of physics-informed inference for DE models (
arxiv.org/abs/2209.15609,
arxiv.org/abs/2409.07101 and
arxiv.org/abs/2409.06560) and some anomaly detection for good measure
doi.org/10.1016/j.pa....

$Φ$-DVAE: Physics-Informed Dynamical Variational Autoencoders for Unstructured Data Assimilation
Incorporating unstructured data into physical models is a challenging problem that is emerging in data assimilation. Traditional approaches focus on well-defined observation operators whose functional...