Scattering network separation capacity on rectifiable sets is bounded by tangent-space rank and a second-moment matrix, yielding two filter design criteria: sufficient spectral coverage and well-conditioned frame-geometry coupling.
Group invariant scattering,
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Separation Capacity of Scattering Networks on Low-Dimensional Datasets
Scattering network separation capacity on rectifiable sets is bounded by tangent-space rank and a second-moment matrix, yielding two filter design criteria: sufficient spectral coverage and well-conditioned frame-geometry coupling.