3 papers
math.FA2026
Continuous transformations of probability measures and their transport representations
Hugo Lavenant, Giuseppe Savaré
Given a function transforming a probability measure into another one , we study the existence and regularity of a transport representation of it. That is, we ask whet…
math.ST2025
Measures of Dependence based on Wasserstein distances
Marta Catalano, Hugo Lavenant
Measuring dependence between random variables is a fundamental problem in Statistics, with applications across diverse fields. While classical measures such as Pearson's correlatio…
math.ST2025
Measuring Partial Exchangeability with Reproducing Kernel Hilbert Spaces
Marta Catalano, Hugo Lavenant, Francesco Mascari
In Bayesian multilevel models, the data are structured in interconnected groups, and their posteriors borrow information from one another due to prior dependence between latent par…