Characterisation of conditional independence structures for polymatroids using vanishing sets
Kybernetika, Tome 56 (2020) no. 6, pp. 1022-1044
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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
Keywords: full conditional independence; markov random field; polymatroids
@article{10_14736_kyb_2020_6_1022,
author = {Chan, Terence and Chen, Qi and Yeung, Raymond},
title = {Characterisation of conditional independence structures for polymatroids using vanishing sets},
journal = {Kybernetika},
pages = {1022--1044},
publisher = {mathdoc},
volume = {56},
number = {6},
year = {2020},
doi = {10.14736/kyb-2020-6-1022},
mrnumber = {4199901},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2020-6-1022/}
}
TY - JOUR AU - Chan, Terence AU - Chen, Qi AU - Yeung, Raymond TI - Characterisation of conditional independence structures for polymatroids using vanishing sets JO - Kybernetika PY - 2020 SP - 1022 EP - 1044 VL - 56 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2020-6-1022/ DO - 10.14736/kyb-2020-6-1022 LA - en ID - 10_14736_kyb_2020_6_1022 ER -
%0 Journal Article %A Chan, Terence %A Chen, Qi %A Yeung, Raymond %T Characterisation of conditional independence structures for polymatroids using vanishing sets %J Kybernetika %D 2020 %P 1022-1044 %V 56 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2020-6-1022/ %R 10.14736/kyb-2020-6-1022 %G en %F 10_14736_kyb_2020_6_1022
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
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