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Contribution of František Matúš to the research on conditional independence
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SYSNO ASEP 0535808 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Contribution of František Matúš to the research on conditional independence Tvůrce(i) Studený, Milan (UTIA-B) RID, ORCID Celkový počet autorů 1 Zdroj.dok. Kybernetika. - : Ústav teorie informace a automatizace AV ČR, v. v. i. - ISSN 0023-5954
Roč. 56, č. 5 (2020), s. 850-874Poč.str. 25 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. CZ - Česká republika Klíč. slova conditional independence ; matroid ; polymatroid ; entropy function ; semigraphoid ; semimatroid Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA19-04579S GA ČR - Grantová agentura ČR Způsob publikování Open access Institucionální podpora UTIA-B - RVO:67985556 UT WOS 000596316600002 EID SCOPUS 85100175531 DOI 10.14736/kyb-2020-5-0850 Anotace 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. Pracoviště Ústav teorie informace a automatizace Kontakt Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Rok sběru 2021 Elektronická adresa https://www.kybernetika.cz/content/2020/5/850
Počet záznamů: 1