2 citations · 2 across the 6 of their papers we have counts for
4 papers · 1 filter
Quantifying the noise sensitivity of the Wasserstein metric for images
Erik Lager, Gilles Mordant, Amit Moscovich
Wasserstein metrics are increasingly adopted as similarity scores for images. We consider the sensitivity of Wasserstein metrics with respect to pixel-wise additive noise when the…
Center-Outward Multiple-Output Lorenz Curves and Gini Indices a measure transportation approach
Marc Hallin, Gilles Mordant
Based on measure transportation ideas and the related concepts of center-outward quantile functions, we propose multiple-output center-outward generalizations of the traditional un…
On the Finite-Sample Performance of Measure Transportation-Based Multivariate Rank Tests
Marc Hallin, Gilles Mordant
Extending to dimension 2 and higher the dual univariate concepts of ranks and quantiles has remained an open problem for more than half a century. Based on measure transportation r…
Measuring dependence between random vectors via optimal transport
Gilles Mordant, Johan Segers
To quantify the dependence between two random vectors of possibly different dimensions, we propose to rely on the properties of the 2-Wasserstein distance. We first propose two coe…