Hannah Friedman, Bernd Sturmfels and Maksym Zubkov
Vol. 15 (2024), No. 1, 15–25
DOI: 10.2140/astat.2024.15.15
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
maximum likelihood estimation, hyperdeterminant, principal
minors, numerical algebraic geometry