Web: http://arxiv.org/abs/2110.00513

May 9, 2022, 1:10 a.m. | George T. Cantwell, Cristopher Moore

stat.ML updates on arXiv.org arxiv.org

Many datasets give partial information about an ordering or ranking by
indicating which team won a game, which item a user prefers, or who infected
whom. We define a continuous spin system whose Gibbs distribution is the
posterior distribution on permutations, given a probabilistic model of these
interactions. Using the cavity method we derive a belief propagation algorithm
that computes the marginal distribution of each node's position. In addition,
the Bethe free energy lets us approximate the number of linear …

ai arxiv belief permutations

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