Number of the records: 1
Characteristic Properties of Equivalent Structures in Compositional Models
- 1.
SYSNO ASEP 0359927 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Characteristic Properties of Equivalent Structures in Compositional Models Author(s) Kratochvíl, Václav (UTIA-B) RID, ORCID Source Title International Journal of Approximate Reasoning. - : Elsevier - ISSN 0888-613X
Roč. 52, č. 5 (2011), s. 599-612Number of pages 15 s. Language eng - English Country US - United States Keywords Equivalence problem ; Compositional model ; Persegram ; Characteristic properties Subject RIV BA - General Mathematics R&D Projects 1M0572 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GA201/09/1891 GA ČR - Czech Science Foundation (CSF) GEICC/08/E010 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000290426100004 EID SCOPUS 79954426634 DOI 10.1016/j.ijar.2010.12.005 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2012
Number of the records: 1