ReLU CNNs achieve (m+1)-th order L_p approximation rates for Korobov functions with mixed derivatives of order m+1 via approximate sparse grid basis representations, improving on classical second-order rates.
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Higher Order Approximation Rates for ReLU CNNs in Korobov Spaces
ReLU CNNs achieve (m+1)-th order L_p approximation rates for Korobov functions with mixed derivatives of order m+1 via approximate sparse grid basis representations, improving on classical second-order rates.