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Description
  • 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.
  • 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. (en)
Title
  • Divergence from factorizable distributions and matroid representations by partitions
  • Divergence from factorizable distributions and matroid representations by partitions (en)
skos:prefLabel
  • Divergence from factorizable distributions and matroid representations by partitions
  • Divergence from factorizable distributions and matroid representations by partitions (en)
skos:notation
  • RIV/67985556:_____/09:00333424!RIV10-AV0-67985556
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/04/0393), P(IAA100750603), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika
  • 12
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 310916
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/09:00333424
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Information divergence; relative entropy; Shannon entropy; exponential family; hierarchical model; log-linear model; contingency table; Gibbs distribution; matroid representation; secret sharing scheme; maximum likelihood. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [342BB6AFF0D3]
http://linked.open...i/riv/nazevZdroje
  • IEEE Transactions on Information Theory
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 55
http://linked.open...iv/tvurceVysledku
  • Matúš, František
http://linked.open...ain/vavai/riv/wos
  • 000271951500003
http://linked.open...n/vavai/riv/zamer
issn
  • 0018-9448
number of pages
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