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.
https://hal.telecom-paris.fr/hal-02984323 Contributor : Laurent DecreusefondConnect in order to contact the contributor Submitted on : Friday, October 30, 2020 - 6:56:55 PM Last modification on : Friday, April 1, 2022 - 3:45:48 AM Long-term archiving on: : Sunday, January 31, 2021 - 6:50:58 PM
Laurent Decreusefond, Guillaume Moroz. Optimal transport between determinantal point processes and application to fast simulation. Modern Stochastics: Theory and Applications, VTEX, 2021, 8 (2), pp.209--237. ⟨10.15559/21-VMSTA180⟩. ⟨hal-02984323⟩