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W2_mixtures.jl

This is the code used to generate the figures of the article entitled A Wasserstein-type interpolation for generic mixture models, including location-scatter and group invariant measures by Geneviève Dusson, Virginie Ehrlacher, and Nathalie Nouaime.

Requirements

To run the code, you need Julia 1.7 with the following packages:

LinearAlgebra, Combinatorics, Optim, Cubature, GLPK, JuMP, Plots, PyCall, QuadGK, SpecialFunctions, Test

You also need the Python Optimal Transport library POT to be installed on the Python distribution called with PyCall.

Run the numerical tests

To run the simulations, simply run

run_article_Dusson_Ehrlacher_Nouaime.jl

All the figures from the article should be generated in the corresponding subfolders of the folder data_article_Dusson_Ehrlacher_Nouaime.

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