In recent years, tools from Bayesian statistics and information theory have led to new proofs of classical theorems as well as new results in probability theory. Applications include proofs of the second and fractional Kahn–Kalai conjectures in probabilistic combinatorics, key results in generic chaining, and functional inequalities for log-concave measures.

In this talk, we will introduce the general Bayesian approach and present a recent short proof of Talagrand’s majorizing measure theorem.