I don’t love these “X is Bayesian” analogies because they tend to ignore the most critical part of Bayesian modeling: sampling with detailed with detailed balance.

This article goes into the implicit prior/posterior updating during LLM inference; you can even go a step further and directly implement hierarchical relationships between layers with H-Nets. However, even under an explicit Bayesian framework, there’s a stark difference in robustness between these H-Nets and the equivalent Bayesian model with the only variable being the parameter estimation process. [1]

[1] https://blog.sturdystatistics.com/posts/hnet_part_II/