0465564 20240103212932.120161119235959.9 000386235300002 84993967024 10.1109/TIT.2016.2601598 12 s. P cav_un_epca*02567230018-94486211 (2016)6007-6018Institute of Electrical and Electronics Engineers entropy region information-theoretic inequality polymatroid cav_un_auth*0101161 Matúš František Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0339463 Csirmaz L. HU http://library.utia.cas.cz/separaty/2016/MTR/matus-0465564.pdf GA13-20012S GA ČR cav_un_auth*0292670 The entropy region is constructed from vectors of random variables by collecting Shannon entropies of all subvectors. Its shape is studied here by means of polymatroidal constructions, notably by convolution. The closure of the region is decomposed into the direct sum of tight and modular parts, reducing the study to the tight part. The relative interior of the reduction belongs to the entropy region. Behavior of the decomposition under selfadhesivity is clarified. Results are specialized and extended to the region constructed from four-tuples of random variables. This and computer experiments help to visualize approximations of a symmetrized part of the entropy region. The four-atom conjecture on the minimal Ingleton score is refuted. BD 2017 2 4 A hod 4ah 20231122142018.8 RVO:67985556 http://hdl.handle.net/11104/0265403 1 Department of Decision Making Theory UTIA-B 10201 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE S 1 Article Computer Science Information Systems|Engineering Electrical Electronic ENGINEERING.ELECTRICAL&ELECTRONIC|COMPUTERSCIENCE.INFORMATIONSYSTEMS 3.228 0.564 999.9 0.04706 1.272 37999 1.362 Q1 2.151 463 Q2 86.473 71.4 Q1* Q1 71.947 2016 Soubory v repozitáři: matus-0465564.pdf 84993967024 SCOPUS 000386235300002 WOS cav_un_epca*0256723 IEEE Transactions on Information Theory 0018-9448 1557-9654 Roč. 62 č. 11 2016 6007 6018 Institute of Electrical and Electronics Engineers