Ridge regression in translation-invariant Hilbert spaces learns convolution operators on compact Abelian groups at standard optimal rates, with source and capacity conditions reinterpreted as space versus frequency localization.
Regularization methods for blind deconvolution and blind source separation problems
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Learning convolution operators on compact Abelian groups
Ridge regression in translation-invariant Hilbert spaces learns convolution operators on compact Abelian groups at standard optimal rates, with source and capacity conditions reinterpreted as space versus frequency localization.