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In a graphical model, two random variables are conditional independent given their common ancestors.

Can graphical models represent independence besides conditional independence?

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Yes, if two random variables are independent, you just have two nodes with no edges between them.

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  • $\begingroup$ How would you construct a Bayesian network for the example given by Antonio Valerio Miceli-Barone in his answer to this question? It seems to me that you need an edge from X to B and an edge from A to B. However, A and B are mutually independent. $\endgroup$ – Franco Aug 15 '18 at 13:56

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