Abstract:We study logarithmic Voronoi cells for linear statistical models and partial linear models. The logarithmic Voronoi cells at points on such model are polytopes. To any d-dimensional linear model inside the probability simplex ∆ n−1 , we can associate an n×d matrix B. For interior points, we describe the vertices of these polytopes in terms of co-circuits of B. We also show that these polytopes are combinatorially isomorphic to the dual of a vector configuration with Gale diagram B. This means that logarithmic … Show more
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