bibtype V - Research Report
ARLID 0363159
utime 20240103195438.4
mtime 20110913235959.9
title (primary) (eng) On polyhedral approximations of polytopes for learning Bayes nets
publisher
place Praha
name ÚTIA AV ČR
pub_time 2011
specification
page_count 31 s.
edition
name Research Report
volume_id 2303
keyword learning Bayesian networks
keyword imsets
keyword polytopes
author (primary)
ARLID cav_un_auth*0101202
name1 Studený
name2 Milan
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.
author
ARLID cav_un_auth*0274176
name1 Haws
name2 D.
country US
source
url http://library.utia.cas.cz/separaty/2011/MTR/studeny-on polyhedral approximations of polytopes for learning bayes nets.pdf
cas_special
project
project_id GA201/08/0539
agency GA ČR
ARLID cav_un_auth*0239648
research CEZ:AV0Z10750506
abstract (eng) We review three vector encodings of Bayesian network structures. The first one has recently been applied by Jaakkola et al., the other two use special integral vectors, called imsets. The central topic is the comparison of outer polyhedral approximations of the corresponding polytopes. We show how to transform the inequalities suggested by Jaakkola et al. to the framework of imsets. The result of our comparison is the observation that the implicit polyhedral approximation of the standard imset polytope suggested in (Studený Vomlel 2010) gives a closer approximation than the (transformed) explicit polyhedral approximation from (Jaakkola et al. 2010). Finally, we confirm a conjecture from (Studený Vomlel 2010) that the above-mentioned implicit polyhedral approximation of the standard imset polytope is an LP relaxation of the polytope.
reportyear 2012
RIV BA
num_of_auth 2
mrcbC52 4 O 4o 20231122134635.1
permalink http://hdl.handle.net/11104/0199217
arlyear 2011
mrcbTft \nSoubory v repozitáři: 0363159.pdf
mrcbU10 2011
mrcbU10 Praha ÚTIA AV ČR