bibtype C - Conference Paper (international conference)
ARLID 0573617
utime 20240402214146.9
mtime 20230717235959.9
SCOPUS 85172915895
title (primary) (eng) On the relationship between graphical and compositional models for the Dempster-Shafer theory of belief functions
specification
page_count 11 s.
media_type E
serial
ARLID cav_un_epca*0576278
ISSN Proceedings of Machine Learning Research, Volume 215: International Symposium on Imprecise Probability: Theories and Applications,
title Proceedings of Machine Learning Research, Volume 215: International Symposium on Imprecise Probability: Theories and Applications,
page_num 259-269
publisher
place Almerı́a
name PMLR
year 2023
keyword joint belief functions
keyword conditional independence
keyword Markov models
keyword composition operators
keyword Dempster’s combination rule
keyword conditionals
author (primary)
ARLID cav_un_auth*0101118
name1 Jiroušek
name2 Radim
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept (eng) Department of Decision Making Theory
department (cz) MTR
department (eng) MTR
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0216188
name1 Kratochvíl
name2 Václav
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department MTR
full_dept Department of Decision Making Theory
country CZ
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0275452
name1 Shenoy
name2 P. P.
country US
source
url http://library.utia.cas.cz/separaty/2023/MTR/jirousek-0573617.pdf
cas_special
project
project_id GA21-07494S
agency GA ČR
country CZ
ARLID cav_un_auth*0430801
abstract (eng) This paper studies the relationship between graphical and compositional models representing joint belief functions. In probability theory, the class of Bayesian networks (directed graphical models) is equivalent to compositional models. Such an equivalence does not hold for the Dempster-Shafer belief function theory. We show that each directed graphical belief function model can be represented as a compositional model, but the converse does not hold. As there are two composition operators for belief functions, there are two types of compositional models. In studying their relation to graphical models, they are closely connected. Namely, one is more specific than the other. A precise relationship between these two composition operators is described.
action
ARLID cav_un_auth*0452244
name International Symposium on Imprecise Probability: Theories and Applications 2023 /13./
dates 20230711
mrcbC20-s 20230714
place Oviedo
country ES
RIV BA
FORD0 10000
FORD1 10100
FORD2 10101
reportyear 2024
num_of_auth 3
presentation_type PR
inst_support RVO:67985556
permalink https://hdl.handle.net/11104/0345846
confidential S
arlyear 2023
mrcbU14 85172915895 SCOPUS
mrcbU24 PUBMED
mrcbU34 WOS
mrcbU63 cav_un_epca*0576278 Proceedings of Machine Learning Research, Volume 215: International Symposium on Imprecise Probability: Theories and Applications, PMLR 2023 Almerı́a 259 269 2640-3498