bibtype J - Journal Article
ARLID 0333424
utime 20240111140730.2
mtime 20091215235959.9
WOS 000271951500003
DOI 10.1109/TIT.2009.2032806
title (primary) (eng) Divergence from factorizable distributions and matroid representations by partitions
specification
page_count 7 s.
media_type www
serial
ARLID cav_un_epca*0256723
ISSN 0018-9448
title IEEE Transactions on Information Theory
volume_id 55
volume 12 (2009)
page_num 5375-5381
publisher
name Institute of Electrical and Electronics Engineers
title (cze) Divergence faktorizačních distribucí a matroidy reprezentované parciálností
keyword Information divergence
keyword relative entropy
keyword Shannon entropy
keyword exponential family
keyword hierarchical model
keyword log-linear model
keyword contingency table
keyword Gibbs distribution
keyword matroid representation
keyword secret sharing scheme
keyword maximum likelihood.
author (primary)
ARLID cav_un_auth*0101161
name1 Matúš
name2 František
institution UTIA-B
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
source_type pdf
url http://library.utia.cas.cz/separaty/2009/MTR/matus-divergence from factorizable distributions and matroid representations by partitions.pdf
cas_special
project
project_id IAA100750603
agency GA AV ČR
ARLID cav_un_auth*0216427
project
project_id GA201/04/0393
agency GA ČR
ARLID cav_un_auth*0001808
research CEZ:AV0Z10750506
abstract (eng) Maximization of the information divergence from any hierarchical log-linear model is studied. A new upper bound on the maximum is presented and its tightness analyzed. For the models given by the bases of a matroid, the latter is related to matroid representations by partitions or, equivalently, to ideal secret sharing schemes. A new link between the divergence maximization, the maximum likelihood principle and secret sharing is established.
abstract (cze) Byla studována maximalizace informační divergence od hierarchických log-lineárních modelů. Byl nalezen nový odhad na maximum a diskutována jeho těsnost. Ta je v úzké souvislosti s reprezentacemi matroidů rozklady. Výsledky umožňují novou interpretaci ideálních schemat sdílení tajemství v kryptografii pomocí principu maximální věrohodnosti.
reportyear 2010
RIV BA
num_of_auth 1
permalink http://hdl.handle.net/11104/0178409
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arlyear 2009
mrcbU34 000271951500003 WOS
mrcbU56 pdf
mrcbU63 cav_un_epca*0256723 IEEE Transactions on Information Theory 0018-9448 1557-9654 Roč. 55 č. 12 2009 5375 5381 Institute of Electrical and Electronics Engineers