Likelihood Geometry of Determinantal Point Processes
Statistics Theory
2024-01-17 v3 Algebraic Geometry
Probability
Statistics Theory
Abstract
We study determinantal point processes (DPP) through the lens of algebraic statistics. We count the critical points of the log-likelihood function, and we compute them for small models, thereby disproving a conjecture of Brunel, Moitra, Rigollet and Urschel.
Keywords
Cite
@article{arxiv.2307.13486,
title = {Likelihood Geometry of Determinantal Point Processes},
author = {Hannah Friedman and Bernd Sturmfels and Maksym Zubkov},
journal= {arXiv preprint arXiv:2307.13486},
year = {2024}
}
Comments
11 pages