Patent ID: 11934478
Assignee: THE UNIVERSITY OF CHICAGO
Field: Computer technology (Electrical engineering)
Classification: CPC G | IPC G

Claim 17:
18. The computing system of claim 11, wherein the CNN has S+1 layers, s=0, . . . , S,
wherein s=0 corresponds to the input layer, s=S corresponds to the output layer, and s=1, . . . , S−1 corresponds to the intermediate layers,
wherein the spherical harmonic expansions of the data correspond to spherical harmonic functions Ylm(θ,ϕ), l=0, . . . , L,
and wherein processing the covariant Fourier activations at each intermediate layer comprises:
for each of the CNN layers s=1, . . . , S−1, computing respective covariant Fourier space activations from output activations of the immediately preceding layer, s−1, without computing any intermediate inverse Fourier transforms or forward Fourier transforms, by:
forming a plurality of l-ordered, pair-wise Kronecker products of the outputs of layer s−1;
decomposing each Kronecker product into covariant blocks using a Clebsch-Gordan transform; and
applying respective weightings to concatenations the covariant blocks of like l.