I have the following Bayes network
Is it possible to get probability of P(X|ABC) if I have only the probabilities P(X|A), P(X|B), P(X|C) ?
Thanks.
I have the following Bayes network
Is it possible to get probability of P(X|ABC) if I have only the probabilities P(X|A), P(X|B), P(X|C) ?
Thanks.
Are A, B and C independent based on the network diagram? If so P(X|ABC)=P(XABC)/P(ABC)=
P(XABC)/[P(A) P(B) P(C)] = P(XBC|A)/[P(B) P(C)] =P(XAB|C)/[P(A) P(B)]=P(XAC|B)/[P(A) P(C)].
So you need to know two of these 3 probabilities P(A) P(B) and P(C) along with the appropriate one from P(XAB|C), P(XBC|A) and P(XAC|B).
You can't get these probabilities directly from knowing P(X}A) P(X|B) and P(X|C).
Did's comment/answer is correct.