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Minimal I-maps induced by sets of scopes. Clarification needed [on hold]

I've asked this question on cross validated and got no answer. Maybe it's more of a computer science question. Here it goes: I have a question about Prop. 9.1 on page 307 in "Probabilistic Graphical ...
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Difficulty in understanding a graphical model in training

Yue et al [1] and Chong & Wong [2] apply a cognitive map for goal-oriented decision making. The basic premise is that we need to find out the initial states that will give us the desired goal ...
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In Probabilistic Graphical Models, are Cliques and Clusters the same?

I am learning Probabilistic Graphical Models with the help of the videos on Coursera. I am in week 4 and I see cliques being mentioned often. But the graphs being discussed are cluster graphs. So are ...