6533b7defe1ef96bd1275e64
RESEARCH PRODUCT
Potential approach in marginalizing Gibbs models
Juan FerrándizPilar SanmartinEnrique Castillosubject
Discrete mathematicsApplied MathematicsComparability graphStrength of a graphClique graphlaw.inventionTheoretical Computer ScienceCombinatoricslawGraph powerArtificial IntelligenceGibbs modelLine graphGraph (abstract data type)FactorizationNull graphMarginalizationRandom geometric graphHypergraph modelsSoftwareMathematicsdescription
Abstract Given an undirected graph G or hypergraph potential H model for a given set of variables V , we introduce two marginalization operators for obtaining the undirected graph G A or hypergraph H A associated with a given subset A ⊂ V such that the marginal distribution of A factorizes according to G A or H A , respectively. Finally, we illustrate the method by its application to some practical examples. With them we show that potential approach allow defining a finer factorization or performing a more precise conditional independence analysis than undirected graph models. Finally, we explain connections with related works.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-08-01 | International Journal of Approximate Reasoning |