Conditional independence structures over four discrete random variables revisited: conditional Ingleton inequalities
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F21%3A00547016" target="_blank" >RIV/67985556:_____/21:00547016 - isvavai.cz</a>
Result on the web
<a href="https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=9514618" target="_blank" >https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=9514618</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/TIT.2021.3104250" target="_blank" >10.1109/TIT.2021.3104250</a>
Alternative languages
Result language
angličtina
Original language name
Conditional independence structures over four discrete random variables revisited: conditional Ingleton inequalities
Original language description
The paper deals with linear information inequalities valid for entropy functions induced by discrete random variables. Specifically, the so-called conditional Ingleton inequalities are in the center of interest: these are valid under conditional independence assumptions on the inducing random variables. We discuss five inequalities of this particular type, four of which has appeared earlier in the literature. Besides the proof of the new fifth inequality, simpler proofs of (some of) former inequalities are presented. These five information inequalities are used to characterize all conditional independence structures induced by four discrete random variables.
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
—
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
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IEEE Transactions on Information Theory
ISSN
0018-9448
e-ISSN
1557-9654
Volume of the periodical
67
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
7030-7049
UT code for WoS article
000709078200008
EID of the result in the Scopus database
2-s2.0-85113264597