Recall that any directed acyclic graph G has an associated family of probability distributions, which consists of
Question:
Recall that any directed acyclic graph G has an associated family of probability distributions, which consists of all probability distributions that can be represented by a Bayes net with structure G. Consider the the six directed acyclic graphs in Figure S13.1.
a. Assume all we know about the joint distribution P(A, B, C) is that it can be represented by the product P(A | B, C)P(B | C)P(C). Which of the six graphs are guaranteed to be able to represent P(A, B, C)?
b. Now assume all we know about the joint distribution P(A, B, C) is that it can be represented by the product P(C | B)P(B | A)P(A). Which of the six graphs are guaranteed to be able to represent P(A, B, C)?
Figure S13.1
Step by Step Answer:
a In this case the decomposition of PA B C is just that given by the chain rule so no cond...View the full answer
Artificial Intelligence A Modern Approach
ISBN: 9780134610993
4th Edition
Authors: Stuart Russell, Peter Norvig
