Mixtures of Discrete Decomposable Graphical Models
Statistics Theory
2024-12-04 v2 Algebraic Geometry
Combinatorics
Statistics Theory
Abstract
We study mixtures of decomposable graphical models, focusing on their ideals and dimensions. For mixtures of clique stars, we characterize the ideals in terms of ideals of mixtures of independence models. We also give a recursive formula for their ML degrees. Finally, we prove that second secant varieties of all other decomposable graphical models have the expected dimension.
Cite
@article{arxiv.2401.15950,
title = {Mixtures of Discrete Decomposable Graphical Models},
author = {Yulia Alexandr and Jane Ivy Coons and Nils Sturma},
journal= {arXiv preprint arXiv:2401.15950},
year = {2024}
}
Comments
To appear in Algebraic Statistics