Neighborliness of Marginal Polytopes

Details Neighborliness of Marginal Polytopes Neighborliness of Marginal Polytopes

2008-09-04

arxiv.org/abs/0809.0786v1

Mathematics

Combinatorics

9 pages

Scientific paper

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.

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