Summary so Far
Bayesian updating
- Probabilities as degree of belief (subjective)
- Belief updating by conditioning
- Prob(H) ? Prob(H|E1) ? Prob(H|E1, E2) ? ...
- Basic form of Bayes’ rule
- Prob(H | E) = Prob(E | H) P(H) / Prob(E)
- Conditional independence
- Knowing the value of Cavity renders Probe Catching probabilistically independent of Ache
- General form of this relationship: knowing the values of all the variables in some separator set S renders the variables in set A independent of the variables in B. Prob(A|B,S) = Prob(A|S)
- Graphical Representation...