A NEW CHARACTERIZATION OF DISCRETE DECOMPOSABLE GRAPHICAL MODELS

• Tipo: Artigo em Revista Científica Internacional
• Data: 2022

Autores

Duarte, E (Autor) FCUP; Solus, L (Autor) Outra

Revista

Título: Proceedings of the American Mathematical Society

Vol. 151

Páginas: 1325-1338

ISSN: 0002-9939

Editora: American Mathematical Society

Indexação

ISI Web of Knowledge - 0 Citações

Scopus

Outras Informações

ID Authenticus: P-00X-JH5

DOI: 10.1090/proc/16212

Abstract (EN): Decomposable graphical models, also known as perfect directed acyclic graph (DAG) models, play a fundamental role in standard approaches to probabilistic inference via graph representations in modern machine learning and statistics. However, such models are limited by the assumption that the data-generating distribution does not entail strictly context-specific conditional independence relations. The family of staged tree models generalizes DAG models so as to accommodate context-specific knowledge. We provide a new characterization of perfect discrete DAG models in terms of their staged tree representations. This characterization identifies the family of balanced staged trees as the natural generalization of discrete decomposable models to the context-specific setting.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 14