bibtype J - Journal Article
ARLID 0535808
utime 20240903170647.0
mtime 20201208235959.9
WOS 000596316600002
SCOPUS 85100175531
DOI 10.14736/kyb-2020-5-0850
title (primary) (eng) Contribution of František Matúš to the research on conditional independence
specification
page_count 25 s.
media_type P
serial
ARLID cav_un_epca*0297163
ISSN 0023-5954
title Kybernetika
volume_id 56
volume 5 (2020)
page_num 850-874
publisher
name Ústav teorie informace a automatizace AV ČR, v. v. i.
keyword conditional independence
keyword matroid
keyword polymatroid
keyword entropy function
keyword semigraphoid
keyword semimatroid
author (primary)
ARLID cav_un_auth*0101202
name1 Studený
name2 Milan
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept (eng) Department of Decision Making Theory
department (cz) MTR
department (eng) MTR
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url http://library.utia.cas.cz/separaty/2020/MTR/studeny-0535808.pdf
source
url https://www.kybernetika.cz/content/2020/5/850
cas_special
project
project_id GA19-04579S
agency GA ČR
country CZ
ARLID cav_un_auth*0380558
abstract (eng) An overview of results of F. Matus on probabilistic conditional independence (CI) is given. First, his axiomatic characterizations of stochastic functional dependence and unconditional independence are recalled. Then his elegant proof of discrete probabilistic representability of a matroid based on its linear representability over a finite field is recalled. It is explained that this result was a basis of his methodology for constructing a probabilistic representation of a given abstract CI structure. His embedding of matroids into (augmented) abstract CI structures is recalled. The contribution of his to the theory of semigraphoids is mentioned, too. Finally, his results on the characterization of probabilistic CI structures induced by 4 discrete random variables and by 4 regular Gaussian random variables are recalled. Partial probabilistic representability by binary random variables is also mentioned.
result_subspec WOS
RIV BA
FORD0 10000
FORD1 10100
FORD2 10101
reportyear 2021
num_of_auth 1
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0314146
confidential S
mrcbC86 3+4 Article Computer Science Cybernetics
mrcbC91 A
mrcbT16-e COMPUTERSCIENCECYBERNETICS
mrcbT16-i 0.00083
mrcbT16-j 0.262
mrcbT16-s 0.218
mrcbT16-B 14.97
mrcbT16-D Q4
mrcbT16-E Q4
arlyear 2020
mrcbU14 85100175531 SCOPUS
mrcbU24 PUBMED
mrcbU34 000596316600002 WOS
mrcbU63 cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 56 č. 5 2020 850 874 Ústav teorie informace a automatizace AV ČR, v. v. i.