Unimodular hierarchical models and their Graver bases
Combinatorics
2018-08-15 v2 Optimization and Control
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.
Cite
@article{arxiv.1704.09018,
title = {Unimodular hierarchical models and their Graver bases},
author = {Daniel Irving Bernstein and Christopher O'Neill},
journal= {arXiv preprint arXiv:1704.09018},
year = {2018}
}
Comments
Minor changes from previous version. This version to appear in Journal of Algebraic Statistics