Computing concise representations of semi-graphoid independency models

S. Lopatatatzidis, L.C. van der Gaag

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

The conditional independencies from a joint probability distribution constitute a model which is closed under the semi-graphoid properties of independency. These models typically are exponentially large in size and cannot be feasibly enumerated. For describing a semi-graphoid model therefore, a more concise representation is used, which is composed of a representative subset of the independencies involved, called a basis, and letting all other independencies be implicitly defined by the semi-graphoid properties; for computing such a basis, an appropriate algorithm is available. Based upon new properties of semi-graphoid models in general, we introduce an improved algorithm that constructs a smaller basis for a given independency model than currently existing algorithms.
Original languageEnglish
Title of host publicationSymbolic and Quantitative Approaches to Reasoning with Uncertainty
Subtitle of host publication13th European Conference, ECSQARU 2015, Compiègne, France, July 15-17, 2015. Proceedings
EditorsS. Destercke, Th. Denoeux
Place of PublicationBerlin
PublisherSpringer
Pages290-300
ISBN (Electronic)978-3-319-20807-7
ISBN (Print)978-3-319-20806-0
DOIs
Publication statusPublished - 2015

Publication series

NameLecture Notes in Artificial Intelligence
PublisherSpringer
Volume9161
NameLecture Notes in Computer Science
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

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