Equations defining probability tree models

• Tipo: Artigo em Revista Científica Internacional
• Data: 2020

Autores

Duarte E. (Autor) Outra; Görgen C. (Autor) Outra

Revista

Título: Journal of Symbolic Computation

Vol. 99

Páginas: 127-146

ISSN: 0747-7171

Editora: Elsevier

Indexação

Scopus - 4 Citações

Outras Informações

ID Authenticus: P-00X-9EK

DOI: 10.1016/j.jsc.2019.04.001

Abstract (EN): Staged trees or coloured probability tree models are statistical models coding conditional independence between events depicted in a tree graph. They include the very important class of Bayesian networks as a special case and provide a straightforward graphical tool for handling additional context-specific relationships. In this paper, we study the algebraic properties of their ideal of model invariants. We hereby find that the tree also provides a straightforward combinatorial tool to generalise the existing geometric characterisation of decomposable graphical models and Bayesian networks. In particular, from a staged tree we can directly understand the interplay between local and global sum-to-one conditions, read the generators of that ideal, and determine conditions under which the model is a toric variety intersected with the probability simplex.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 19