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Triangulation Heuristics for BN2O Networks

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    SYSNO ASEP0327312
    Document TypeC - Proceedings Paper (int. conf.)
    R&D Document TypeConference Paper
    TitleTriangulation Heuristics for BN2O Networks
    TitleHeuristiky pro triangulaci sítí typu BN2O
    Author(s) Savický, Petr (UIVT-O) SAI, RID, ORCID
    Vomlel, Jiří (UTIA-B) RID, ORCID
    Source TitleSymbolic and Quantitative Approaches to Reasoning with Uncertainty. - Berlin : Springer, 2009 / Sossai C. ; Chemello G. - ISSN 0302-9743 - ISBN 978-3-642-02905-9
    Pagess. 566-577
    Number of pages12 s.
    ActionECSQARU 2009. European Conference /10./
    Event date01.07.2009-03.07. 2009
    VEvent locationVerona
    CountryIT - Italy
    Event typeWRD
    Languageeng - English
    CountryDE - Germany
    KeywordsBayesian network ; BN2O ; noisy-or ; graphical transformation ; parent divorcing ; tensor rank-one decomposition
    Subject RIVBA - General Mathematics
    R&D Projects1M0545 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
    1ET100300517 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    1M0572 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
    GEICC/08/E010 GA ČR - Czech Science Foundation (CSF)
    GA201/09/1891 GA ČR - Czech Science Foundation (CSF)
    CEZAV0Z10300504 - UIVT-O (2005-2011)
    AV0Z10750506 - UTIA-B (2005-2011)
    UT WOS000268585700049
    EID SCOPUS69049089935
    DOI10.1007/978-3-642-02906-6_49
    AnnotationA BN2O network is a Bayesian network having the structure of a bipartite graph with all edges directed from one part (the top level) toward the other (the bottom level) and where all conditional probability tables are noisy-or gates. In order to perform efficient inference, graphical transformations of these networks are performed. The complexity of inference is proportional to the total table size of tables corresponding to the cliques of the triangulated graph. Therefore in order to get efficient inference it is desirable to have small cliques in the triangulated graph. We analyze existing heuristic triangulation methods applicable to BN2O networks after transformations using parent divorcing and tensor rank-one decomposition and suggest several modifications. Both theoretical and experimental results confirm that tensor rank-one decomposition yields better results than parent divorcing in randomly generated BN2O networks that we tested.
    WorkplaceInstitute of Computer Science
    ContactTereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800
    Year of Publishing2010
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