A General Theory of Equivariant CNNs on Homogeneous Spaces.¶
Cohen, T. S., Geiger, & Weiler, M. (2019). A General Theory of Equivariant CNNs on Homogeneous Spaces. Advances in Neural Information Processing Systems 32 (NeurIPS), 9145-9156.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Equivariance
- The vocabulary lets a designer state precisely whether a representation should discard a symmetry (an invariant classifier label) or carry it forward (an equivariant feature map that later layers can still exploit), a layering distinction Cohen and colleagues (2019) formalize through the general theory of equivariant maps on homogeneous spaces.
This sourceGeneral theory of equivariant maps between fields on homogeneous spaces; shows the most general equivariant linear map corresponds to a generalized convolution with an equivariant kernel.
- The vocabulary lets a designer state precisely whether a representation should discard a symmetry (an invariant classifier label) or carry it forward (an equivariant feature map that later layers can still exploit), a layering distinction Cohen and colleagues (2019) formalize through the general theory of equivariant maps on homogeneous spaces.
Verification¶
Does it exist? Not checked yet. This entry carries no identifier to resolve. It was extracted from the citation as written in the article, normalized, and deduplicated against the rest of the registry.
Does it back the claim? Not recorded. The single citation of this work carries no recorded support check.
Was it audited? Yes. A second, independent pass read the citation against the article text and recorded a verdict.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:5e966207ac36 · see in the full table