122 citations · 361 across the 7 of their papers we have counts for
10 papers
Fast and Scalable Optimal Transport for Brain Tractograms
Jean Feydy, Pierre Roussillon, Alain Trouvé +1
We present a new multiscale algorithm for solving regularized Optimal Transport problems on the GPU, with a linear memory footprint. Relying on Sinkhorn divergences which are conve…
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…
Metamorphoses of functional shapes in Sobolev spaces
Nicolas Charon, Benjamin Charlier, Alain Trouvé
In this paper, we describe in detail a model of geometric-functional variability between fshapes. These objects were introduced for the first time by the authors in [Charlier et al…
The fshape framework for the variability analysis of functional shapes
Benjamin Charlier, Nicolas Charon, Alain Trouvé
This article introduces a full mathematical and numerical framework for treating functional shapes (or fshapes) following the landmarks of shape spaces and shape analysis. Function…