Zoubin Ghahramani's "Graphical Models: Parts 1-3"
Watch this three-part lecture on graph theory to develop a better understanding of how to use graphs in AI. After viewing the first part, you should know about directed, undirected, and factor graphs, conditional independence, d-separation, and plate notation. The second part will teach you about inference in graphical models, key ideas in belief propagation, and the junction tree algorithm. Watch the third part for fun, trying to follow along as much as possible.