Is there any comparative study that showcases the powers of Bayesian Networks and Deep learning in their respective favorable setup and how they compare?

I tried to go through blogs but couldn't find out any experimental study where the respective models where described based on a example?

Rationale in putting this question: I am planning to work on Bayesian networks and I know they are great for inference and answering complex queries. But I couldn't find any convincing experimental results where they seemed to be more favorable as compared to other sophisticated machine learning tools like deep neural nets or conventional deep neural nets.