Abstract:The main contribution of this paper is to find a representation of the class F d (p) of multivariate Bernoulli distributions with the same mean p that allows us to find its generators analytically in any dimension. We map F d (p) to an ideal of points and we prove that the class F d (p) can be generated from a finite set of simple polynomials. We present two applications. Firstly, we show that polynomial generators help to find extremal points of the convex polytope F d (p) in high dimensions. Secondly, we sol… Show more
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