• Publications
  • Influence
Existence and consistency of Wasserstein barycenters
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 probabilities defined on aExpand
  • 77
  • 13
  • PDF
Semi-parametric estimation of shifts
We observe a large number of functions differing from each other only by a translation parameter. While the main pattern is unknown, we propose to estimate the shift parameters using $M$-estimators.Expand
  • 61
  • 8
  • PDF
Review and Perspective for Distance-Based Clustering of Vehicle Trajectories
TLDR
We propose a new distance, the Symmetrized Segment-Path Distance, for clustering trajectories of geolocalized observations based on the distance between trajectories. Expand
  • 69
  • 6
  • PDF
Distribution's template estimate with Wasserstein metrics
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 measures in the WassersteinExpand
  • 61
  • 6
  • PDF
Oracle Inequalities for a Group Lasso Procedure Applied to Generalized Linear Models in High Dimension
TLDR
We present a group lasso procedure for generalized linear models (GLMs) and we study the properties of this estimator applied to sparse high-dimensional GLMs. Expand
  • 15
  • 6
  • PDF
Destination Prediction by Trajectory Distribution-Based Model
TLDR
In this paper, we propose a new method to predict the final destination of vehicle trips based on their initial partial trajectories. Expand
  • 41
  • 5
  • PDF
Review and Perspective for Distance Based Trajectory Clustering
TLDR
In this paper we tackle the issue of clustering trajectories of geolocalized observations based on the choice of a distance between the observations, we first provide a comprehensive review of the different distances used in the literature to compare trajectories. Expand
  • 22
  • 5
  • PDF
Estimation of the distribution of random shifts deformation
Consider discrete values of functions shifted by unobserved translation effects, which are independent realizations of a random variable with unknown distribution μ modeling the variability in theExpand
  • 22
  • 5
  • PDF
Non asymptotic minimax rates of testing in signal detection with heterogeneous variances
The aim of this paper is to establish non-asymptotic minimax rates of testing for goodness-of-fit hypotheses in a heteroscedastic setting. More precisely, we deal with sequences $(Y_j)_{j\in J}$ ofExpand
  • 37
  • 5
  • PDF
Central Limit Theorem for empirical transportation cost in general dimension
We consider the problem of optimal transportation with quadratic cost between a empirical measure and a general target probability on R d , with d $\ge$ 1. We provide new results on the uniquenessExpand
  • 51
  • 4
  • PDF