bibtype	J - Journal Article
ARLID	0359927
utime	20240103195223.3
mtime	20110601235959.9
WOS	000290426100004
SCOPUS	79954426634
DOI	10.1016/j.ijar.2010.12.005
title (primary) (eng)	Characteristic Properties of Equivalent Structures in Compositional Models
specification	page_count 15 s.
serial	ARLID cav_un_epca*0256774 ISSN 0888-613X title International Journal of Approximate Reasoning volume_id 52 volume 5 (2011) page_num 599-612 publisher name Elsevier
keyword	Equivalence problem
keyword	Compositional model
keyword	Persegram
keyword	Characteristic properties
author (primary)	ARLID cav_un_auth*0216188 name1 Kratochvíl name2 Václav full_dept (cz) Matematická teorie rozhodování full_dept (eng) Department of Decision Making Theory department (cz) MTR department (eng) MTR institution UTIA-B full_dept Department of Decision Making Theory fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source	url http://library.utia.cas.cz/separaty/2011/MTR/kratochvil-0359927.pdf
cas_special	project project_id 1M0572 agency GA MŠk ARLID cav_un_auth*0001814 project project_id GA201/09/1891 agency GA ČR ARLID cav_un_auth*0253175 project project_id 2C06019 agency GA MŠk country CZ ARLID cav_un_auth*0216518 project project_id GEICC/08/E010 agency GA ČR ARLID cav_un_auth*0241637 research CEZ:AV0Z10750506 abstract (eng) 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. reportyear 2012 RIV BA mrcbC52 4 A 4a 20231122134549.9 permalink http://hdl.handle.net/11104/0197607 mrcbT16-e COMPUTERSCIENCEARTIFICIALINTELLIGENCE mrcbT16-f 2.155 mrcbT16-g 0.293 mrcbT16-h 4.7 mrcbT16-i 0.00594 mrcbT16-j 0.759 mrcbT16-k 1638 mrcbT16-l 92 mrcbT16-s 1.703 mrcbT16-4 Q1 mrcbT16-B 70.492 mrcbT16-C 76.126 mrcbT16-D Q2 mrcbT16-E Q1* arlyear 2011 mrcbTft \nSoubory v repozitáři: kratochvil-0359927.pdf mrcbU14 79954426634 SCOPUS mrcbU34 000290426100004 WOS mrcbU63 cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 52 č. 5 2011 599 612 Elsevier