A Comprehensive Introduction to Bayesian Deep Learning

Bayesian (deep) learning has always intrigued and intimidated me. Perhaps because it leans heavily on probabilistic theory, which can be daunting. I noticed that even though I knew basic probability theory, I had a hard time understanding and connecting that to modern Bayesian deep learning research. The aim of this blogpost is to bridge that gap and provide a comprehensive introduction.

Instead of starting with the basics, I will start with an incredible NeurIPS 2020 paper on Bayesian deep learning and generalization by Andrew Wilson and Pavel Izmailov (NYU) called Bayesian Deep Learning and a Probabilistic Perspective of Generalization. This paper serves as a tangible starting point in which we naturally encounter Bayesian concepts in the wild. I hope this makes the Bayesian perspective more concrete and speaks to its relevance.

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