PDE-AI is a PEPR project funded by the ANR, which gathers ten major French institutions involved in developing the mathematical analysis and the study of optimization in machine learning, as well as in developing machine learning for numerical analysis and scientific computing. The institutions are Univ. Paris-Dauphine (PSL), Univ. Paris-Cité, Sorbonne Univ., Univ. Paris-Saclay, Univ. Toulouse, Univ. Lyon (CNRS), Univ. Bordeaux, Univ. Côte d’Azur (Inria), CREST (ENSAE/Institut Polytechnique de Paris) and Univ. Strasbourg.