These lecture notes accompany the AAAI 2020 tutorial on probabilistic circuits, by Antonio Vergari, Robert Peharz, YooJung Choi, and Guy Van den Broeck. They cover the first half of the tutorial, that is, the motivation of tractable models, the probabilistic circuit representation, and its inference algorithms. This is a working document; updates will be made available at starai.cs.ucla.edu/papers/LecNoAAAI20.pdf. The tutorial slides covering additional topics such as learning of probabilistic circuits and a survey of their applications are available at starai.cs.ucla.edu/slides/AAAI20.pdf. Kindly send corrections and feedback to yjchoi@cs.ucla.edu.

@article{LecNoAAAI20,
  author    = {Choi, YooJung and Vergari, Antonio and Van den Broeck, Guy},
  title     = {Lecture Notes: Probabilistic Circuits: Representation and Inference},
  month     = Feb,
  year      = {2020},
  url       = "https://starai.cs.ucla.edu/papers/LecNoAAAI20.pdf",
  keywords  = {techreport}
}