Likelihood Geometry of the Squared Grassmannian
Statistics Theory
2025-03-11 v2 Probability
Statistics Theory
Abstract
We study projection determinantal point processes and their connection to the squared Grassmannian. We prove that the log-likelihood function of this statistical model has critical points, all of which are real and positive, thereby settling a conjecture of Devriendt, Friedman, Reinke, and Sturmfels.
Cite
@article{arxiv.2409.03730,
title = {Likelihood Geometry of the Squared Grassmannian},
author = {Hannah Friedman},
journal= {arXiv preprint arXiv:2409.03730},
year = {2025}
}