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Joe Johnson: Facets of Correlation Polytopes

Time: Tue 2023-04-04 16.15

Location: 3418, Lindstedtsvägen 25, and Zoom

Video link: Meeting ID: 621 8808 6001

Participating: Joe Johnson (North Carolina State university)

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Hierarchical models are statistical models that describe dependence among discrete random variables. For binary hierarchical models there is an associated correlation polytope, whose dilates contain the sufficient statistics of the model (up to a change of coordinate). We describe facet defining inequalities for a special class of correlation polytopes and briefly discuss connections between statistics and the Ehrhart theory of correlation polytopes.