On Ranking-based Tests of Independence

M Limnios, S Clémençon - International Conference on …, 2024 - proceedings.mlr.press
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 …

Learning to rank anomalies: scalar performance criteria and maximization of rank statistics

M Limnios, N Noiry, S Clémençon - Machine Learning, 2024 - Springer
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 …

Combining Stochastic Tendency and Distribution Overlap Towards Improved Nonparametric Effect Measures and Inference

J Beck, PB Langthaler, AC Bathke - arXiv preprint arXiv:2311.17564, 2023 - arxiv.org
A fundamental functional in nonparametric statistics is the Mann-Whitney functional
${\theta}= P (X< Y) $, which constitutes the basis for the most popular nonparametric …