Out of distribution robustness with pre-trained Bayesian neural networks
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We develop ShiftMatch, a new training-data-dependent likelihood for out of distribution (OOD) robustness in Bayesian neural networks (BNNs). ShiftMatch is inspired by the training-data-dependent "EmpCov" priors from Izmailov et al. (2021a) and efficiently matches test-time spatial correlations to those at training time. Critically, ShiftMatch is designed to leave neural network training unchanged, allowing it to use publically available samples from pretrained BNNs. Using pre-trained HMC samples, ShiftMatch gives strong performance improvements on CIFAR-10-C, outperforms EmpCov priors, and is perhaps the first Bayesian method capable of convincingly outperforming plain deep ensembles. ShiftMatch can be integrated with non-Bayesian methods like deep ensembles, where it offers smaller, but still considerable, performance improvements. Overall, Bayesian ShiftMatch gave slightly better accuracy than ensembles with ShiftMatch, though they both had very similar log-likelihoods.
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