Question: Let E be the evidence variables in a Bayesian network, M be the MAP variables, and let Y be all other variables. Suppose that Pr

Let E be the evidence variables in a Bayesian network, M be the MAP variables, and let Y
be all other variables. Suppose that Pr(m, e)>0 implies that Pr(m, e, y)=0 for exactly one
instantiation y. Show that the projection of an MPE solution on the MAP variables M is also
a MAP solution.

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