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I need the full derivation of this question, please write on paper and submit the screenshot. Problem 5: The undirected graph in Fig. 1 represents
I need the full derivation of this question, please write on paper and submit the screenshot.
Problem 5: The undirected graph in Fig. 1 represents a Markov network with nodes x1,x2,x3,x4,x5 counting clockwise around the pentagon with potentials (xi,xj). Show that the joint distribution can be written as p(x1,x2,x3,x4,x5)=p(x2,x5)p(x2,x4)p(x1,x2,x5)p(x2,x4,x5)p(x2,x3,x4) and also express the marginal probability tables (i.e., the terms in the numerator and denominator of the above formula) explicitly as functions of the pair-wise potentials (xi,xj) Fig. 1: Markov Network
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