bibtype J - Journal Article
ARLID 0442412
utime 20240103205858.4
mtime 20150415235959.9
WOS 000348581700002
SCOPUS 84920998684
DOI 10.1080/03081079.2014.934370
title (primary) (eng) Foundations of compositional models: structural properties
specification
page_count 24 s.
media_type P
serial
ARLID cav_un_epca*0256794
ISSN 0308-1079
title International Journal of General Systems
volume_id 44
volume 1 (2015)
page_num 2-25
publisher
name Taylor & Francis
keyword multidimensional distribution
keyword conditional independence
keyword composition
keyword semigraphoid properties
keyword running intersection property
author (primary)
ARLID cav_un_auth*0101118
name1 Jiroušek
name2 Radim
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
share 50
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0216188
name1 Kratochvíl
name2 Václav
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department MTR
institution UTIA-B
full_dept Department of Decision Making Theory
share 50
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url http://library.utia.cas.cz/separaty/2015/MTR/jirousek-0442412.pdf
cas_special
project
project_id GA13-20012S
agency GA ČR
ARLID cav_un_auth*0292670
project
project_id GAP403/12/2175
agency GA ČR
country CZ
ARLID cav_un_auth*0284585
abstract (eng) The paper is a follow-up of [R.J.: Foundations of compositional model theory. IJGS, 40(2011): 623–678], where basic properties of compositional models, as one of the approaches to multidimensional probability distributions representation and processing, were introduced. In fact, it is an algebraic alternative to graphical models, which does not use graphs to represent conditional independence statements. Here, these statements are encoded in a sequence of distributions to which an operator of composition – the key element of this theory – is applied in order to assemble a multidimensional model from its low-dimensional parts. In this paper, we show a way to read conditional independence relations, and to solve related topics, above all the so-called equivalence problem, i.e. the problem of recognizing whether two different structures induce the same system of conditional independence relations.
reportyear 2016
RIV BA
num_of_auth 2
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0246065
cooperation
ARLID cav_un_auth*0295073
institution VŠE
name Vysoká škola ekonomická v Praze
country CZ
mrcbC63-f Praha 3
confidential S
mrcbT16-e COMPUTERSCIENCETHEORYMETHODS
mrcbT16-j 0.326
mrcbT16-s 0.758
mrcbT16-4 Q1
mrcbT16-B 23.676
mrcbT16-C 78.571
mrcbT16-D Q4
mrcbT16-E Q2
arlyear 2015
mrcbU14 84920998684 SCOPUS
mrcbU34 000348581700002 WOS
mrcbU63 cav_un_epca*0256794 International Journal of General Systems 0308-1079 1563-5104 Roč. 44 č. 1 2015 2 25 Taylor & Francis