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Unimodular hierarchical models and their Graver bases

Journal Name:

  • Journal of Algebraic Statistics

Publication Year:

  • 2017

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
Given a simplicial complex whose vertices are labeled with positive integers, one can associate a vector con guration 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 con gurations. We also provide a combinatorial characterization of their Graver bases.
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REFERENCES

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