English

Bayesian Linear Regression on Deep Representations

Machine Learning 2019-12-17 v1 Machine Learning

Abstract

A simple approach to obtaining uncertainty-aware neural networks for regression is to do Bayesian linear regression (BLR) on the representation from the last hidden layer. Recent work [Riquelme et al., 2018, Azizzadenesheli et al., 2018] indicates that the method is promising, though it has been limited to homoscedastic noise. In this paper, we propose a novel variation that enables the method to flexibly model heteroscedastic noise. The method is benchmarked against two prominent alternative methods on a set of standard datasets, and finally evaluated as an uncertainty-aware model in model-based reinforcement learning. Our experiments indicate that the method is competitive with standard ensembling, and ensembles of BLR outperforms the methods we compared to.

Keywords

Cite

@article{arxiv.1912.06760,
  title  = {Bayesian Linear Regression on Deep Representations},
  author = {John Moberg and Lennart Svensson and Juliano Pinto and Henk Wymeersch},
  journal= {arXiv preprint arXiv:1912.06760},
  year   = {2019}
}

Comments

4th workshop on Bayesian Deep Learning (NeurIPS 2019), Vancouver, Canada

R2 v1 2026-06-23T12:45:45.724Z