| bibtype |
J -
Journal Article
|
| ARLID |
0547016 |
| utime |
20230418204320.1 |
| mtime |
20211022235959.9 |
| SCOPUS |
85113264597 |
| WOS |
000709078200008 |
| DOI |
10.1109/TIT.2021.3104250 |
| title
(primary) (eng) |
Conditional independence structures over four discrete random variables revisited: conditional Ingleton inequalities |
| specification |
| page_count |
20 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0256723 |
| ISSN |
0018-9448 |
| title
|
IEEE Transactions on Information Theory |
| volume_id |
67 |
| volume |
11 (2021) |
| page_num |
7030-7049 |
| publisher |
| name |
Institute of Electrical and Electronics Engineers |
|
|
| keyword |
entropy function |
| keyword |
discrete random variables |
| keyword |
conditional information inequalities |
| keyword |
conditional independence |
| keyword |
polymatroids |
| author
(primary) |
| ARLID |
cav_un_auth*0101202 |
| name1 |
Studený |
| name2 |
Milan |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept (eng) |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department (eng) |
MTR |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| source |
|
| cas_special |
| project |
| project_id |
GA19-04579S |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0380558 |
|
| abstract
(eng) |
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. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2022 |
| num_of_auth |
1 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0323438 |
| confidential |
S |
| mrcbC86 |
3+4 Article Computer Science Information Systems|Engineering Electrical Electronic |
| mrcbC91 |
C |
| mrcbT16-e |
COMPUTERSCIENCEINFORMATIONSYSTEMS|ENGINEERINGELECTRICALELECTRONIC |
| mrcbT16-j |
1.07 |
| mrcbT16-s |
1.731 |
| mrcbT16-D |
Q1 |
| mrcbT16-E |
Q1 |
| arlyear |
2021 |
| mrcbU14 |
85113264597 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000709078200008 WOS |
| mrcbU63 |
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 |
|