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- W112255851 abstract "The Hammersley–Clifford theorem gives the form that the joint probability density (or mass) function of a Markov random field must take. Its exponent must be a sum of functions of variables, where each function in the summand involves only those variables whose sites form a clique. From a statistical modeling point of view, it is important to establish the converse result, namely, to give the conditional probability specifications that yield a Markov random field. Besag (1974) addressed this question by developing a one-parameter exponential family of conditional probability models. In this article, we develop new models for Markov random fields by establishing sufficient conditions for the conditional probability specifications to yield a Markov random field." @default.
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- W112255851 date "1992-12-01" @default.
- W112255851 modified "2023-10-17" @default.
- W112255851 title "New models for Markov random fields" @default.
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- W112255851 doi "https://doi.org/10.2307/3214720" @default.
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