mlsanityData to 14 Oct 2026

One Simple Trick to Fix Your Bayesian Neural Network

arXiv 2207.13167 ↗First posted 26 Jul 2022stat.ML cs.LGcited by 1

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Abstract (arXiv)

One of the most popular estimation methods in Bayesian neural networks (BNN) is mean-field variational inference (MFVI). In this work, we show that neural networks with ReLU activation function induce posteriors, that are hard to fit with MFVI. We provide a theoretical justification for this phenomenon, study it empirically, and report the results of a series of experiments to investigate the effect of activation function on the calibration of BNNs. We find that using Leaky ReLU activations leads to more Gaussian-like weight posteriors and achieves a lower expected calibration error (ECE) than its ReLU-based counterpart.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 8 of its 12 references that are in the map. First posted on arXiv 26 Jul 2022.

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8 of 12 references.

References · 8

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  4. 2016Simple and Scalable Predictive Uncertainty Estimation using Deep Ensemblescited by 3,926
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  7. 2018Aleatoric uncertainty estimation with test-time augmentation for medical image segmentation with convolutional neural networkscited by 280
  8. 2019A General Framework for Uncertainty Estimation in Deep Learningcited by 119

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