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Triangulation Heuristics for BN2O Networks
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SYSNO ASEP 0327312 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Triangulation Heuristics for BN2O Networks Title Heuristiky pro triangulaci sítí typu BN2O Author(s) Savický, Petr (UIVT-O) SAI, RID, ORCID
Vomlel, Jiří (UTIA-B) RID, ORCIDSource Title Symbolic and Quantitative Approaches to Reasoning with Uncertainty. - Berlin : Springer, 2009 / Sossai C. ; Chemello G. - ISSN 0302-9743 - ISBN 978-3-642-02905-9 Pages s. 566-577 Number of pages 12 s. Action ECSQARU 2009. European Conference /10./ Event date 01.07.2009-03.07. 2009 VEvent location Verona Country IT - Italy Event type WRD Language eng - English Country DE - Germany Keywords Bayesian network ; BN2O ; noisy-or ; graphical transformation ; parent divorcing ; tensor rank-one decomposition Subject RIV BA - General Mathematics R&D Projects 1M0545 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) CEZ AV0Z10300504 - UIVT-O (2005-2011) AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000268585700049 EID SCOPUS 69049089935 DOI 10.1007/978-3-642-02906-6_49 Annotation A 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. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2010
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