13 Probability

https://www.dropbox.com/s/zdzn4wt86yjs0ly/CSE511A%20Lecture%2012%20--%20Probability.pptx?dl=0

Random Variable

Probability Distributions

Joint Distributions && Events

Marginal Distributions

Conditional Probabilities

P(a|b) = P(a,b) / P(b)

From joint distribution, we can get conditional d and marginal d.

Conditional Distributions

From joint d to condition d

Normalization

To bring or restore to a normal condition (All entries sum to one)

Probabilistic Inference && Inference Enumeration

The Product Rule

marginal d * conditional d = joint d

conditional probability 的变形，请参考上面的词条。

The chain Rule

Bayes Rule