Given a Bayesian network P that factorizes over a tree graph, how can the following claim be proved?
Let E be evidence variables, and X the remaining variales.
$$ P(X|E=e)=\prod_{i\notin E}P(X_i|X_{\text{par}(i)},E=e) $$
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Given a Bayesian network P that factorizes over a tree graph, how can the following claim be proved? Let E be evidence variables, and X the remaining variales. $$ P(X|E=e)=\prod_{i\notin E}P(X_i|X_{\text{par}(i)},E=e) $$ |
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