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Journal Articles Modern Stochastics: Theory and Applications Year : 2021

Optimal transport between determinantal point processes and application to fast simulation

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Abstract

We analyze several optimal transportation problems between de-terminantal point processes. We show how to estimate some of the distances between distributions of DPP they induce. We then apply these results to evaluate the accuracy of a new and fast DPP simulation algorithm. We can now simulate in a reasonable amount of time more than ten thousands points.
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Dates and versions

hal-02984323 , version 1 (30-10-2020)

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Laurent Decreusefond, Guillaume Moroz. Optimal transport between determinantal point processes and application to fast simulation. Modern Stochastics: Theory and Applications, 2021, 8 (2), pp.209--237. ⟨10.15559/21-VMSTA180⟩. ⟨hal-02984323⟩
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