Search Results for author: Alain Trouvé

Found 6 papers, 3 papers with code

Fast and Scalable Optimal Transport for Brain Tractograms

no code implementations5 Jul 2021 Jean Feydy, Pierre Roussillon, Alain Trouvé, Pietro Gori

The parameters -- blur and reach -- of our method are meaningful, defining the minimum and maximum distance at which two fibers are compared with each other.

Sinkhorn Divergences for Unbalanced Optimal Transport

4 code implementations28 Oct 2019 Thibault Séjourné, Jean Feydy, François-Xavier Vialard, Alain Trouvé, Gabriel Peyré

Optimal transport induces the Earth Mover's (Wasserstein) distance between probability distributions, a geometric divergence that is relevant to a wide range of problems.

Interpolating between Optimal Transport and MMD using Sinkhorn Divergences

1 code implementation18 Oct 2018 Jean Feydy, Thibault Séjourné, François-Xavier Vialard, Shun-ichi Amari, Alain Trouvé, Gabriel Peyré

Comparing probability distributions is a fundamental problem in data sciences.

Statistics Theory Statistics Theory 62

Metamorphoses of functional shapes in Sobolev spaces

1 code implementation5 Aug 2016 Nicolas Charon, Benjamin Charlier, Alain Trouvé

In this paper, we describe in detail a model of geometric-functional variability between fshapes.

Optimization and Control Differential Geometry 49M25, 49Q20, 58B32, 58E50, 68U05, 68U10

The fshape framework for the variability analysis of functional shapes

no code implementations24 Apr 2014 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.

The varifold representation of non-oriented shapes for diffeomorphic registration

no code implementations22 Apr 2013 Nicolas Charon, Alain Trouvé

More specifically, problems occur with structures like acute pikes because of canceling effects of currents or with data that consists in many disconnected pieces like fiber bundles for which currents require a consistent orientation of all pieces.


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