Question: Show that marginal MAP assignments do not always match the MPE assignments (Most Probable Explanation). I.e., construct a Bayes net such that the most likely

Show that marginal MAP assignments do not always match the MPE assignments (Most Probable Explanation). I.e., construct a Bayes net such that the most likely configuration of all variables does not agree with the most likely assignment to a single variable (the value that maximizes the marginal probability of a single variable, i.e. after marginalizing out the remaining ones).

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