Decomposable Context-Specific Models

• Tipo: Artigo em Revista Científica Internacional
• Data: 2024

Autores

Alexandr, Y (Autor) Outra; Duarte, E (Autor) FCUP; Vill, J (Autor) Outra

Revista

Título: SIAM Journal on Applied Algebra and Geometry

Vol. 8

Páginas: 363-393

Editora: Society for Industrial and Applied Mathematics Publications

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Classificação Científica

CORDIS: Ciências Físicas > Matemática > Geometria > Geometria algébrica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-010-JKW

DOI: 10.1137/23m1575111

Abstract (EN): We introduce a family of discrete context-specific models, which we call decomposable. We construct this family from the subclass of staged tree models known as CStree models. We give an algebraic and combinatorial characterization of all context-specific independence relations that hold in a decomposable context-specific model, which yields a Markov basis. We prove that a directed version of the moralization operation applied to the graphical representation of a context-specific model does not affect the implied independence relations, thus affirming that these models are algebraically described by a finite collection of decomposable graphical models. More generally, we establish that several algebraic, combinatorial, and geometric properties of decomposable context-specific models generalize those of decomposable graphical models to the context-specific setting.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 31