In our SIAM news article on Machine Learning and Dynamical Systems, we introduce some of our recent work on the approximation theory and related aspects, on the intersection of machine learning and dynamical systems. Note that this field is rapidly growing and due to length limitations this article is by no means a review of the progress in the field, but rather as a short exposition of our recent work in this area.

For more comprehensive coverage of the key contributions to this effort, interested readers are referred to this interest group hosted at the Alan Turing Institute, organized by Profs Robert MacKay and Boumediene Hamzi.