This project aims to compare two different types of generative models: tractable probabilistic circuits and Bayesian networks of bounded tree-width, and potentially have tools to translate between them (when possible). Probabilistic circuits have been recently applied to a number of tasks, but there is a huge gap in the literature on how to learn their structure. One may learn certain types of Bayesian networks and then translate them to tractable circuits as means to obtain their structure.
References:
https://arxiv.org/abs/1605.03392
http://starai.cs.ucla.edu/papers/LecNoAAAI20.pdf
http://starai.cs.ucla.edu/papers/ProbCirc20.pdf
https://www.youtube.com/watch?v=2RAG5-L9R70