Optimal transport between determinantal point processes and application to fast simulation

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Authors Laurent Decreusefond, Guillaume Moroz arXiv ID 2011.00822 Category cs.DS: Data Structures & Algorithms Cross-listed math.PR Citations 3 Venue Modern Stochastics: Theory and Applications Last Checked 4 months ago
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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