Lie groupoid equivariant CNNs are defined via lifting and convolution layers that specialize category-equivariant networks, shown equivalent to algebroid versions for suitable groupoids and as special cases of admissible category-equivariant layers via continuous natural transformations.
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Theoretical Aspects of Lie Groupoid and Lie Algebroid Equivariant Convolutional Neural Networks
Lie groupoid equivariant CNNs are defined via lifting and convolution layers that specialize category-equivariant networks, shown equivalent to algebroid versions for suitable groupoids and as special cases of admissible category-equivariant layers via continuous natural transformations.