Factorization of Discrete Probability Distributions
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چکیده
to belong to the graphical model. This direction was emphasized, for example, by Pearl (1988) and Geiger We formulate necessary and sufficient conditions for and Pearl (1993). Lauritzen (1996, Chapter 3) coman arbitrary discrete probability distribution to facpared these approaches and herein we extend his retor according to an undirected graphical model, or sults. a log-linear model, or other more general exponential models. This result generalizes the well known Hammersley-Clifford Theorem.
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