“A circuit prior in NN-bayes” by Kaarel, Dmitry Vaintrob
Podcast: LessWrong (30+ Karma)Published On: Wed Aug 19 2026
Description: Here are the slides of a talk Kaarel gave, presenting work with Dmitry establishing that (even arbitrarily overparametrized) neural net bayesian learning has a circuit prior — and thus, when learning a function which is implemented by some small circuit, only requires a small amount of training data to get good test accuracy — for certain scalings of the prior and with various other important caveats. The slides offer a self-contained presentation of the simplest version of the result. See the end of the presentation (slides 36–37) for a bunch of open problems in NN learning theory. --- First published: August 19th, 2026 Source: https://www.lesswrong.com/posts/SqDHeuycNkERurtSc/a-circuit-prior-in-nn-bayes --- Narrated by TYPE III AUDIO.
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