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• W3204351488 abstract "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 extensions of a partial order and perform model selection between competing probabilistic models, such as the Bradley-Terry-Luce model of noisy comparisons and its cousins." @default.
• W3204351488 created "2021-10-11" @default.
• W3204351488 creator A5008033989 @default.
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• W3204351488 date "2022-05-25" @default.
• W3204351488 modified "2023-09-27" @default.
• W3204351488 title "Belief propagation for permutations, rankings, and partial orders" @default.
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• W3204351488 doi "https://doi.org/10.1103/physreve.105.l052303" @default.
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