Based on the Fréchet mean, we define a notion of barycenter corresponding to a usual
notion of statistical mean. We prove the existence of Wasserstein barycenters of random …

In this paper, we tackle the problem of comparing distributions of random variables and
defining a mean pattern between a sample of random events. Using barycenters of …

This paper is concerned by the study of barycenters for random probability measures in the
Wasserstein space. Using a duality argument, we give a precise characterization of the …

We define a notion of barycenter for random probability measures in the Wasserstein space.
We study the population barycenter in terms of existence and uniqueness. Using a duality …

Abstract Let (X_1,...,X_n) be an iid sequence of random variables in R^d, d≧1. We show
that, for any function φ:R^d→R, under regularity conditions, n^1/2(n^-1i=1^nφ(X_i)f(X_i) …

The article investigates the large sample properties of the quantile normalization method by
Bolstad et al.(2003)[4] which has become one of the most popular methods to align density …

In this paper we focus on extended Euclidean registration of a set of noisy images. We
provide an appropriate statistical model for this kind of registration problem, and a new …

Satellites monitoring is an important task to prevent the failure of satellites. For this purpose,
a large number of time series are analyzed in order to detect anomalies. In this paper, we …

Wasserstein barycenters and variance-like criteria based on the Wasserstein distance are
used in many problems to analyze the homogeneity of collections of distributions and …

Supplemental material contains detailed proofs of Theorems 3.1 and 3.2 as well as
Proposition 2.1, technical propositions E. 1, E. 2 and E. 3 and a discussion on the parameter …