bibtype M - Monography Chapter
ARLID 0085219
utime 20240103184359.9
mtime 20070918235959.9
title (primary) (eng) Graphical and Algebraic Representatives of Conditional Independence Models
specification
page_count 26 s.
serial
ARLID cav_un_epca*0085218
ISBN 978-3-540-68994-2
title Advances in Probabilistic Graphical Models
page_num 55-80
publisher
place Berlin Heildeberg
name Springer Verlag
year 2007
editor
name1 Lucas
name2 Peter
editor
name1 Gámez
name2 José A.
editor
name1 Salmerón
name2 Antonio
title (cze) Grafoví a algebraičtí reprezentanti modelů podmíněné nezávislosti
keyword graphical models
keyword conditional indepenence
author (primary)
ARLID cav_un_auth*0101228
name1 Vomlel
name2 Jiří
institution UTIA-B
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0101202
name1 Studený
name2 Milan
institution UTIA-B
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
cas_special
project
project_id GA201/04/0393
agency GA ČR
ARLID cav_un_auth*0001808
research CEZ:AV0Z10750506
abstract (eng) The topic of this book chapter is conditional independence models. We review mathematical objects that are used to generate conditional independence models in the area of probabilistic reasoning. More specifically, we mention undirected graphs, acyclic directed graphs, chain graphs, and an alternative algebraic approach that uses certain integer-valued vectors, named imsets. We compare the expressive power of these objects and discuss the problem of their uniqueness. In learning Bayesian networks one meets the problem of non-unique graphical description of the respective statistical model. One way to avoid this problem is to use special chain graphs, named essential graphs. An alternative algebraic approach uses certain imsets, named standard imsets, instead. We present algorithms that make it possible to transform graphical representatives into algebraic ones and conversely. The algorithms were implemented in the R language.
abstract (cze) Tématem této kapitoly v knize jsou gravové a algebraické modely podmíněné nezávislosti. V kapitole se konkrétně zabýváme neorientovanými a orientovanými grafy, řetězcovými grafy a alternativním algebraickým přístupem, který využívá vektory celých čísel, tak zvané imsety.
reportyear 2008
RIV BB
permalink http://hdl.handle.net/11104/0147780
arlyear 2007
mrcbU63 cav_un_epca*0085218 Advances in Probabilistic Graphical Models 978-3-540-68994-2 55 80 Berlin Heildeberg Springer Verlag 2007
mrcbU67 Lucas Peter 340
mrcbU67 Gámez José A. 340
mrcbU67 Salmerón Antonio 340