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Bibliographic Details
Main Authors:	Alexandr, Yulia, Coons, Jane Ivy, Sturma, Nils
Format:	Preprint
Published:	2024
Subjects:	Statistics Theory Algebraic Geometry Combinatorics
Online Access:	https://arxiv.org/abs/2401.15950
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Table of Contents:

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.