Characterizations of Decomposable Dependency Models
Author(s) -
Luis M. de Campos
Publication year - 1996
Publication title -
journal of artificial intelligence research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.79
H-Index - 123
eISSN - 1943-5037
pISSN - 1076-9757
DOI - 10.1613/jair.329
Subject(s) - dependency (uml) , axiom , independence (probability theory) , set (abstract data type) , graphical model , computer science , theoretical computer science , functional dependency , conditional independence , dependency graph , mathematics , algorithm , artificial intelligence , graph , data mining , relational database , statistics , geometry , programming language
Decomposable dependency models possess a number of interesting and useful properties. This paper presents new characterizations of decomposable models in terms of independence relationships, which are obtained by adding a single axiom to the well-known set characterizing dependency models that are isomorphic to undirected graphs. We also briefly discuss a potential application of our results to the problem of learning graphical models from data.
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