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.
Learning Green’s functions associ- ated with time-dependent partial differential equations
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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.