Geodesic
Characterisation of conditional independence structures for polymatroids using vanishing sets
Kybernetika, Tome 56 (2020) no. 6, pp. 1022-1044.

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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.
DOI : 10.14736/kyb-2020-6-1022
Classification : 62-09, 62B10
Keywords: full conditional independence; markov random field; polymatroids 
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Chan, Terence; Chen, Qi; Yeung, Raymond. Characterisation of conditional independence structures for polymatroids using vanishing sets. Kybernetika, Tome 56 (2020) no. 6, pp. 1022-1044. doi : 10.14736/kyb-2020-6-1022. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2020-6-1022/

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