Approximate inference
• What if we use an approximation to the posterior
distribution over hidden configurations?
– e.g. assume the posterior factorizes into a product of
distributions for each separate hidden cause.
• If we use the approximation for learning, there is no
guarantee that learning will increase the probability that
the model would generate the observed data.
• But maybe we can find a different and sensible objective
function that is guaranteed to improve at each update.