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Paper · arXiv

bispectrum: Selective $G$-Bispectra Made Practical

Many machine learning tasks are invariant under the action of a group $G$ of transformations: signal classification can be invariant under translations, image classification under 2D rotations, and spherical-image classification under 3D rotations. The $G$-bispectrum is a principled complete invariant of a signal (retaining all all signal's information up to the group action) with proven benefits in machine learning and as a pooling layer in deep networks. However, its deployment has been hampered by high computational cost and a patchwork of group-specific implementations. We present bispectrum, an open-source, fully unit-tested PyTorch library that implements selective $G$-bispectra for...

AuthorsJohan Mathe, Adele Myers, Simon Mataigne et al.
Primary categorycs.LG
Published8 May 2026
Last updated at source8 May 2026
cs.LG
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