Decomposable Context-Specific Models

• Type: Article in International Scientific Journal
• Date: 2024

Authors

Alexandr, Y (Author) Other; Duarte, E (Author) FCUP; Vill, J (Author) Other

Journal

Title: SIAM Journal on Applied Algebra and Geometry

Vol. 8

Pages: 363-393

Publisher: Society for Industrial and Applied Mathematics Publications

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 31