122 citations · 361 across the 7 of their papers we have counts for
3 papers · 1 filter
Interpolating between Optimal Transport and MMD using Sinkhorn Divergences
Jean Feydy, Thibault Séjourné, François-Xavier Vialard +3
Comparing probability distributions is a fundamental problem in data sciences. Simple norms and divergences such as the total variation and the relative entropy only compare densit…
Inconsistency of Template Estimation by Minimizing of the Variance/Pre-Variance in the Quotient Space
Loïc Devilliers, Stéphanie Allassonnière, Alain Trouvé +1
We tackle the problem of template estimation when data have been randomly deformed under a group action in the presence of noise. In order to estimate the template, one often minim…
Template estimation in computational anatomy: Fréchet means in top and quotient spaces are not consistent
Loïc Devilliers, Stéphanie Allassonnière, Alain Trouvé +1
In this article, we study the consistency of the template estimation with the Fréchet mean in quotient spaces. The Fréchet mean in quotient spaces is often used when the observatio…