Bayes Network ⟺ Belief Network

Data structure for total probabilities.

Terms

• Belief: Conditional Probability

Definition

$$ \begin{aligned} (G, P) \end{aligned} $$

• $ G $ : Directed Graph
• $ P $ : Conditional Probability Tables

Representation

Example of a belief network defined by: $$ \begin{aligned} P[g, f, d, c, b, a] &= P[g|f] \cdot P[f|c, b] \cdot P[d|b, a] \cdot P[b|a] \cdot P[c|a] \end{aligned} $$

by Jon