Contribution of František Matúš to the research on conditional independence
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Contribution of František Matúš to the research on conditional independence
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA19-04579S" target="_blank" >GA19-04579S: Conditonal independence structures: methods of polyhedral geometry</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Kybernetika
ISSN
0023-5954
e-ISSN
—
Volume of the periodical
56
Issue of the periodical within the volume
5
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
25
Pages from-to
850-874
UT code for WoS article
000596316600002
EID of the result in the Scopus database
2-s2.0-85100175531