In this paper we develop a novel nonparametric framework to test the independence of two
random variables $ X $ and $ Y $ with unknown respective marginals $ H (dx) $ and $ G …

The two-sample problem, which consists in testing whether independent samples on
$\mathbb {R}^ d $ are drawn from the same (unknown) distribution, finds applications in …

The ability to collect and store ever more massive data, unlabeled in many cases, has been
accompanied by the need to process them efficiently in order to extract relevant information …

We introduce ART, a distribution-free and model-agnostic framework for changepoint
detection that provides finite-sample guarantees. ART transforms independent observations …

The ability to collect and store ever more massive databases has been accompanied by the
need to process them efficiently. In many cases, most observations have the same behavior …

This research project aims at developing mathematical and algorithmic tools to study and
evaluate the level of similarity between two complex datasets in high-dimension: vectors …