Graphical Models: Queries, Complexity, Algorithms - Archive ouverte HAL
Article Dans Une Revue Leibniz International Proceedings in Informatics Année : 2020

Graphical Models: Queries, Complexity, Algorithms

Résumé

Graphical models (GMs) define a family of mathematical models aimed at the concise description of multivariate functions using decomposability. We restrict ourselves to functions of discrete variables but try to cover a variety of models that are not always considered as "Graphical Models", ranging from functions with Boolean variables and Boolean co-domain (used in automated reasoning) to functions over finite domain variables and integer or real co-domains (usual in machine learning and statistics). We use a simple algebraic semi-ring based framework for generality, define associated queries, relationships between graphical models, complexity results, and families of algorithms, with their associated guarantees.
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Dates et versions

hal-02547692 , version 1 (20-04-2020)

Identifiants

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Martin Cooper, Simon de Givry, Thomas Schiex. Graphical Models: Queries, Complexity, Algorithms. Leibniz International Proceedings in Informatics , 2020, 154, pp.4:1--4:22. ⟨10.4230/LIPIcs.STACS.2020.4⟩. ⟨hal-02547692⟩
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