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Characteristic Properties of Equivalent Structures in Compositional Models
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SYSNO ASEP 0359927 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Characteristic Properties of Equivalent Structures in Compositional Models Tvůrce(i) Kratochvíl, Václav (UTIA-B) RID Zdroj.dok. International Journal of Approximate Reasoning. - : Elsevier - ISSN 0888-613X
Roč. 52, č. 5 (2011), s. 599-612Poč.str. 15 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova Equivalence problem ; Compositional model ; Persegram ; Characteristic properties Vědní obor RIV BA - Obecná matematika CEP 1M0572 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy GA201/09/1891 GA ČR - Grantová agentura ČR GEICC/08/E010 GA ČR - Grantová agentura ČR CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000290426100004 EID SCOPUS 79954426634 DOI 10.1016/j.ijar.2010.12.005 Anotace 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. Pracoviště Ústav teorie informace a automatizace Kontakt Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Rok sběru 2012
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