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arXiv · 2111.14397

Dependence between Bayesian neural network units

Mariia Vladimirova·Julyan Arbel·Stéphane Girard
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Abstract

The connection between Bayesian neural networks and Gaussian processes gained a lot of attention in the last few years, with the flagship result that hidden units converge to a Gaussian process limit when the layers width tends to infinity. Underpinning this result is the fact that hidden units become independent in the infinite-width limit. Our aim is to shed some light on hidden units dependence properties in practical finite-width Bayesian neural networks. In addition to theoretical results, we assess empirically the depth and width impacts on hidden units dependence properties.

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Mariia Vladimirova, Julyan Arbel, Stéphane Girard. 2021-11-29. Dependence between Bayesian neural network units. https://arxiv.org/abs/2111.14397

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