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math.ST2024★ 1 cited
New directions in algebraic statistics: Three challenges from 2023
Yulia Alexandr, Miles Bakenhus, Mark Curiel +11
In the last quarter of a century, algebraic statistics has established itself as an expanding field which uses multilinear algebra, commutative algebra, computational algebra, geom…
math.ST2024★ 1 cited
Mixtures of Discrete Decomposable Graphical Models
Yulia Alexandr, Jane Ivy Coons, Nils Sturma
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…