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Characterization of inclusion neighbourhood in terms of the essential graph: Lower neighbours

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    0411182 - UTIA-B 20030169 RIV CZ eng C - Conference Paper (international conference)
    Studený, Milan
    Characterization of inclusion neighbourhood in terms of the essential graph: Lower neighbours.
    Prague: University of Economics, 2003. ISBN 80-245-0546-0. In: Proceedings of the 6th Workshop on Uncertainty Processing. - (Vejnarová, J.), s. 243-262
    [WUPES 2003. Workshop on Uncertainty Processing /6./. Hejnice (CZ), 24.09.2003-27.09.2003]
    R&D Projects: GA ČR GA201/01/1482
    Institutional research plan: CEZ:AV0Z1075907
    Keywords : essential graph * inclusion neighbourhood * Bayesian network
    Subject RIV: BA - General Mathematics

    The topic of the paper is to characterize inclusion neighbourhood of a given equivalence class of Bayesian networks in terms of the respective essential graph. It is shown that every inclusion neighbour is uniquely described by a pair ([a,b],C) where [a,b] is a pair of distict nodes which is not an edge and C is a disjoint set of nodes. Given such [a,b] the collection of respective sets C is the union of two tufts. The least and maximal sets of these tufts can be read from the essential graph.
    Permanent Link: http://hdl.handle.net/11104/0131268

     
     

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