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Paper · arXiv

Equivariance and Augmentation for Bayesian Neural Networks

Symmetries are important for many deep learning tasks, ranging from applications in the sciences to medical imaging. However, there is an ongoing debate about whether to impose symmetry constraints on the neural network architecture (yielding equivariant neural networks) or learn them from augmented training data. Although equivariant networks are well-studied theoretically, much less is known about data augmentation, since analyzing augmentation requires control over the training dynamics. Inspired by recent results that show that augmented infinite deep ensembles are exactly equivariant, we study data augmentation for Bayesian neural networks (BNNs) trained with variational inference. W...

AuthorsMiaowen Dong, Axel Flinth, Jan E. Gerken
Primary categorycs.LG
Published24 June 2026
Last updated at source24 June 2026
cs.LG
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