Conditional independence structures over four discrete random variables revisited: conditional Ingleton inequalities

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Conditional independence structures over four discrete random variables revisited: conditional Ingleton inequalities

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Conditional independence structures over four discrete random variables revisited: conditional Ingleton inequalities

Popis výsledku anglicky

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.

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

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

IEEE Transactions on Information Theory

ISSN

0018-9448

e-ISSN

1557-9654

Svazek periodika

67

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

20

Strana od-do

7030-7049

Kód UT WoS článku

000709078200008

EID výsledku v databázi Scopus

2-s2.0-85113264597