Contribution of Frantisek Matus to the research on conditional independence

Title:

Contribution of Frantisek Matus to the research on conditional independence

Creator:

Studený, Milan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:0558866b-e3a2-4791-b499-ae1ca3426b81
uuid:0558866b-e3a2-4791-b499-ae1ca3426b81
issn:0023-5954
doi:10.14736/kyb-2020-5-0850

Subject:

teorie matroidů, matroid theory, conditional independence, polymatroid, entropy function, semimatroid, semigraphoid, 23, and 007

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

An overview is given of results achieved by F. Matúš on probabilistic conditional independence (CI). 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 and his contribution to the theory of semigraphoids is mentioned as well. Finally, his results on the characterization of probabilistic CI structures induced by four discrete random variables and by four regular Gaussian random variables are recalled. Partial probabilistic representability by binary random variables is also mentioned., Milan Studený., and Obsahuje bibliografické odkazy

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

850-874

Source:

Kybernetika | 2020 Volume:56 | Number:5

Harvested from:

CDK

Metadata only:

false