Unsupervised Learning of Group Invariant and Equivariant Representations. (arXiv:2202.07559v2 [cs.LG] UPDATED)

Equivariant neural networks, whose hidden features transform according to
representations of a group G acting on the data, exhibit training efficiency
and an improved generalisation performance. In this work, we extend group
invariant and equivariant representation learning to the field of unsupervised
deep learning. We propose a general learning strategy based on an
encoder-decoder framework in which the latent representation is separated in an
invariant term and an equivariant group action component. The key idea is that
the network learns …

arxiv unsupervised unsupervised learning