Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

A Wasserstein-type distance in the space of Gaussian Mixture Models

Abstract : In this paper we introduce a Wasserstein-type distance on the set of Gaussian mixture models. This distance is defined by restricting the set of possible coupling measures in the optimal transport problem to Gaussian mixture models. We derive a very simple discrete formulation for this distance, which makes it suitable for high dimensional problems. We also study the corresponding multi-marginal and barycenter formulations. We show some properties of this Wasserstein-type distance, and we illustrate its practical use with some examples in image processing.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [36 references]  Display  Hide  Download
Contributor : Agnès Desolneux <>
Submitted on : Tuesday, June 9, 2020 - 5:16:13 PM
Last modification on : Thursday, July 2, 2020 - 5:17:18 PM


Files produced by the author(s)


  • HAL Id : hal-02178204, version 4


Julie Delon, Agnès Desolneux. A Wasserstein-type distance in the space of Gaussian Mixture Models. 2020. ⟨hal-02178204v4⟩



Record views


Files downloads