Počet záznamů: 1

Characteristic Properties of Equivalent Structures in Compositional Models

  1. 1.
    0359927 - UTIA-B 2012 RIV US eng J - Článek v odborném periodiku
    Kratochvíl, Václav
    Characteristic Properties of Equivalent Structures in Compositional Models.
    International Journal of Approximate Reasoning. Roč. 52, č. 5 (2011), s. 599-612 ISSN 0888-613X
    Grant CEP: GA MŠk 1M0572; GA ČR GA201/09/1891; GA ČR GEICC/08/E010
    Grant ostatní: GA MŠk(CZ) 2C06019
    Výzkumný záměr: CEZ:AV0Z10750506
    Klíčová slova: Equivalence problem * Compositional model * Persegram * Characteristic properties
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.948, rok: 2011
    http://library.utia.cas.cz/separaty/2011/MTR/kratochvil-0359927.pdf http://library.utia.cas.cz/separaty/2011/MTR/kratochvil-0359927.pdf

    Compositional model theory serves as an alternative to Bayesian networks. Every compositional model over a finite non-empty set of variables N is uniquely defined by its generating sequence – an ordered set of low-dimensional probability distributions. A generating sequence structure induces a system of conditional independence statements over N valid for every multidimensional distribution represented by a compositional model with this structure. The equivalence problem is how to characterise whether all independence statements induced by structure P are induced by a second structure P and vice versa. This problem can be solved in several ways. A partial solution of the so-called direct characterisation of an equivalence problem is represented here. We deduce and describe three properties of equivalent structures necessary for equivalence of the respective structures. We call them characteristic properties of classes of equivalent structures.
    Trvalý link: http://hdl.handle.net/11104/0197607