0547016 20230418204320.120211022235959.9 85113264597 000709078200008 10.1109/TIT.2021.3104250 20 s. P cav_un_epca*02567230018-94486711 (2021)7030-7049Institute of Electrical and Electronics Engineers entropy function discrete random variables conditional information inequalities conditional independence polymatroids cav_un_auth*0101202 Studený Milan UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2021/MTR/studeny-0547016-P.pdf https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=9514618 GA19-04579S GA ČR CZ cav_un_auth*0380558 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. WOS BA 10000 10100 10101 2022 1 RVO:67985556 http://hdl.handle.net/11104/0323438 S 3+4 Article Computer Science Information Systems|Engineering Electrical Electronic C ENGINEERING.ELECTRICAL&ELECTRONIC|COMPUTERSCIENCE.INFORMATIONSYSTEMS 3.185 0.656 15 0.02449 1.07 39799 304 1.731 40.93 3.53 5363 Q1 2.380 477 Q2 50.4 Q1 Q1 0.89 Q2 55.978 2021 85113264597 SCOPUS PUBMED 000709078200008 WOS cav_un_epca*0256723 IEEE Transactions on Information Theory 0018-9448 1557-9654 Roč. 67 č. 11 2021 7030 7049 Institute of Electrical and Electronics Engineers