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.
Vector valued reproducing kernel Hilbert spaces of integrable functions and Mercer theorem
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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.