Contribution of František Matúš to the research on conditional independence

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F20%3A00535808" target="_blank" >RIV/67985556:_____/20:00535808 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.kybernetika.cz/content/2020/5/850" target="_blank" >https://www.kybernetika.cz/content/2020/5/850</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14736/kyb-2020-5-0850" target="_blank" >10.14736/kyb-2020-5-0850</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Contribution of František Matúš to the research on conditional independence

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Contribution of František Matúš to the research on conditional independence

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA19-04579S" target="_blank" >GA19-04579S: Struktury podmíněné nezávislosti: metody polyedrální geometrie</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Kybernetika

ISSN

0023-5954

e-ISSN

—

Svazek periodika

56

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

25

Strana od-do

850-874

Kód UT WoS článku

000596316600002

EID výsledku v databázi Scopus

2-s2.0-85100175531