Neighborliness of Marginal Polytopes
Combinatorics
2016-04-08 v1 Statistics Theory
Statistics Theory
Abstract
A neighborliness property of marginal polytopes of hierarchical models, depending on the cardinality of the smallest non-face of the underlying simplicial complex, is shown. The case of binary variables is studied explicitly, then the general case is reduced to the binary case. A Markov basis for binary hierarchical models whose simplicial complexes is the complement of an interval is given.
Keywords
Cite
@article{arxiv.0809.0786,
title = {Neighborliness of Marginal Polytopes},
author = {Thomas Kahle},
journal= {arXiv preprint arXiv:0809.0786},
year = {2016}
}
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9 pages