By defining wavelets from irreducible-group characters, the paper constructs a finite-group scattering transform that is non-expansive, stable, energy-preserving, and approximately translation-invariant, with classification tests on MNIST, audio, and permutation groups.
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Scattering Networks on Noncommutative Finite Groups
By defining wavelets from irreducible-group characters, the paper constructs a finite-group scattering transform that is non-expansive, stable, energy-preserving, and approximately translation-invariant, with classification tests on MNIST, audio, and permutation groups.