General E(2)-Equivariant Steerable CNNs.¶
Weiler, M., & Cesa, G. (2019). General E(2)-Equivariant Steerable CNNs. Advances in Neural Information Processing Systems 32 (NeurIPS), 14334-14345.
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Primes¶
- Equivariance
- Real systems often achieve only approximate equivariance — a pooled or sampled grid breaks perfect continuous symmetry — and the gap between exact and approximate equivariance is itself a substantive engineering concern, not a definitional footnote, as Weiler and Cesa (2019) make explicit in characterizing the steerable filters that achieve exact equivariance on the rotation group.
This sourceCharacterizes steerable filters achieving exact equivariance under the Euclidean group E(2) and its subgroups, reducing kernel constraints to irreducible representations.
- Real systems often achieve only approximate equivariance — a pooled or sampled grid breaks perfect continuous symmetry — and the gap between exact and approximate equivariance is itself a substantive engineering concern, not a definitional footnote, as Weiler and Cesa (2019) make explicit in characterizing the steerable filters that achieve exact equivariance on the rotation group.
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