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Statistical Machine Learning Methods for Bioinformatics VII ...

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The Simplest Conditional<br />

Independence in BN<br />

• A node is independent of its ancestors given its<br />

parents, where the ancestor / parent relationship is<br />

with respect to some fixed topological ordering of<br />

the nodes<br />

• The joint probability is the product of the<br />

conditional probability<br />

• For previous examples: P(C, S, R, W) = P(C) *<br />

P(S|C) * P(R|C,S) * P(W|C, S, R) = P(C) * P(S|C)<br />

* P(R|C) * P(W|S,R).

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