A new mathematical framework for PGCNNs using the language of graded group algebras is introduced, which yields two natural parameterizations of the architecture, based on Hadamard and Kronecker products, related by a linear map.
Yacoub Hendi, Daniel Persson, Magdalena Larfors· arXiv.org· 3 citations
Finite groups are rigid algebraic objects, whose Cayley graphs expose a rich network geometry through which group-theoretic structure can be measured, compared, and learned. In this paper, a dataset of $131{,}406$ Cayley graphs is constructed, covering all groups of order at most $767$ except order $512$, recording exa...
Rashid Barket, Enrico Grimaldi, Yacoub Hendi et al.· 0 citations
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