Some statistical learning problems with incomplete data.

Summary Most statistical methods are not designed to directly work with incomplete data. The study of data incompleteness is not new and strong methods have been established to handle it prior to a statistical analysis. On the other hand, deep learning literature mainly works with unstructured data such as images, text or raw audio, but very few has been done on tabular data. Hence, modern machine learning literature tackling data incompleteness on tabular data is scarce. This thesis focuses on the use of machine learning models applied to incomplete tabular data, in an insurance context. We propose through our contributions some ways to model complex phenomena in presence of incompleteness schemes, and show that our approaches outperform the state-of-the-art models La plupart des méthodes statistiques ne sont pas nativement conçues pour fonctionner sur des données incomplètes.