Unimodular hierarchical models and their Graver bases

Daniel Irving Bernstein, Christopher O’Neill

Type: Article

Publication Date: 2017-12-26

Citations: 3

DOI: https://doi.org/10.18409/jas.v8i2.66

Abstract

Given a simplicial complex whose vertices are labeled with positive integers, one can associate a vector configuration whose corresponding toric variety is the Zariski closure of a hierarchical model. We classify all the vertex-weighted simplicial complexes that give rise to unimodular vector configurations. We also provide a combinatorial characterization of their Graver bases.

Locations

Journal of Algebraic Statistics - View - PDF
arXiv (Cornell University) - View - PDF
DataCite API - View

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