nucleation

LIT-314: Group Equivariant Convolutional Networks

1 min read

Properties5
StatusActive — read in full 2026-09-29 (NOTE-288); worth reading as the short, self-contained origin of the group-convolution layer and of the "equivariance as weight sharing over a symmetry group fixed in advance" design. Read the CIFAR "state of the art" claim as holding for un-augmented CIFAR10 only, and the paper as containing no representation theory (no irreps, characters or Fourier analysis on groups).
Version2
Tagsrepresentation-learning, mathematics, anthology-candidate
Cited as “paper” byNOTE-288 — Group Equivariant Convolutional Networks
Cited as “source” byTHEORY-445 — A network built from group correlations over a discrete split group of plane symmetries, pointwise nonlinearities and coset pooling is equivariant to that group by construction, through the regular representation alone: the group is fixed before training and built into the weight sharing, not found in the data

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Taco S. Cohen, Max Welling (2016), ICML 2016 (PMLR 48) — ARXIV-1602.07576

Standing in the record

Registered on 2026-09-29 at the owner’s request, because the owner’s prior-art novelty map (a private working document on concepts as projectors, the linear representation hypothesis and their neighbours) cites it: row 7: geometric-DL/equivariance program that imposes symmetry, against which the response positions spectral-degeneracy detection. It is seeded from metadata and published descriptions and has not been read here.

It was filed Deferred, unread. NOTE-288 is the close reading of 2026-09-29, and it placed the work: Active — worth reading as the short, self-contained origin of the group-convolution layer and of the “equivariance as weight sharing over a symmetry group fixed in advance” design. Read the CIFAR “state of the art” claim as holding for un-augmented CIFAR10 only, and the paper as containing no representation theory (no irreps, characters or Fourier analysis on groups).

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