bibtype J - Journal Article
ARLID 0384920
utime 20240111140824.1
mtime 20121214235959.9
WOS 000311461700005
DOI 10.1016/j.ijar.2012.06.006
title (primary) (eng) All roads lead to Rome - New search methods for the optimal triangulation problem
specification
page_count 17 s.
media_type WWW
serial
ARLID cav_un_epca*0256774
ISSN 0888-613X
title International Journal of Approximate Reasoning
volume_id 53
volume 9 (2012)
page_num 1350-1366
publisher
name Elsevier
keyword Bayesian networks
keyword Optimal triangulation
keyword Probabilistic inference
keyword Cliques in a graph
author (primary)
ARLID cav_un_auth*0286695
name1 Ottosen
name2 T. J.
country DK
author
ARLID cav_un_auth*0101228
name1 Vomlel
name2 Jiří
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
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
source_type PDF soubor
url http://library.utia.cas.cz/separaty/2012/MTR/vomlel-all roads lead to rome - new search methods for the optimal triangulation problem.pdf
cas_special
project
project_id 1M0572
agency GA MŠk
ARLID cav_un_auth*0001814
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
project
project_id GA201/09/1891
agency GA ČR
ARLID cav_un_auth*0253175
abstract (eng) To perform efficient inference in Bayesian networks by means of a Junction Tree method, the network graph needs to be triangulated. The quality of this triangulation largely determines the efficiency of the subsequent inference, but the triangulation problem is unfortunately NP-hard. It is common for existing methods to use the treewidth criterion for optimality of a triangulation. However, this criterion may lead to a somewhat harder inference problem than the total table size criterion. We therefore investigate new methods for depth-first search and best-first search for finding optimal total table size triangulations. The search methods are made faster by efficient dynamic maintenance of the cliques of a graph. This problem was investigated by Stix, and in this paper we derive a new simple method based on the Bron-Kerbosch algorithm that compares favourably to Stix' approach. The new approach is generic in the sense that it can be used with other algorithms than just Bron-Kerbosch.
reportyear 2013
RIV BD
num_of_auth 2
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0214381
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arlyear 2012
mrcbU34 000311461700005 WOS
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mrcbU63 cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 53 č. 9 2012 1350 1366 Elsevier