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Circuit priors in NN-bayes: more results

The study shows that for various reasonable priors on MLP weights, the induced prior on functions is a circuit prior. These results hold under certain conditions, even with highly overparametrized models. However, there are limitations related to exponential dependence on circuit depth.

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Tracking sinceOctober 21, 202620 source points
Momentum—More observations needed
PublishedOctober 21, 2026Kaarel
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WHY IT MAY MATTER

This could be useful for understanding the generalization of Bayesian neural networks and the impact of priors on their performance.

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