4.1 Article

CHARACTERISATION OF CONDITIONAL INDEPENDENCE STRUCTURES FOR POLYMATROIDS USING VANISHING SETS

Journal

KYBERNETIKA
Volume 56, Issue 6, Pages 1022-1044

Publisher

KYBERNETIKA
DOI: 10.14736/kyb-2020-6-1022

Keywords

full conditional independence; markov random field; polymatroids

Funding

  1. Australian Research Council [DP190102896]
  2. National Natural Science Foundation of China (NSFC) [NSFC 61971321]

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In this paper, we characterise and classify a list of full conditional independences via the structure of the induced set of vanishing atoms. Construction of Markov random subfield and minimal characterisation of polymatroids satisfying a MRF will also be given.

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