Hierarchical Models, Marginal Polytopes, and Linear Codes

Details Hierarchical Models, Marginal Polytopes, and Linear Codes Hierarchical Models, Marginal Polytopes, and Linear Codes

2008-05-09

arxiv.org/abs/0805.1301v2

Mathematics

Statistics Theory

18 pages

Scientific paper

In this paper, we explore a connection between binary hierarchical models,
their marginal polytopes and codeword polytopes, the convex hulls of linear
codes. The class of linear codes that are realizable by hierarchical models is
determined. We classify all full dimensional polytopes with the property that
their vertices form a linear code and give an algorithm that determines them.

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