Under source conditions with smoothness r>0 and capacity 2r+b>1, random features achieve minimax-optimal rates for any spectral regularization method with qualification at least r∨1.
Caponnetto and Ernesto De Vito
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Random feature approximation for general spectral methods
Under source conditions with smoothness r>0 and capacity 2r+b>1, random features achieve minimax-optimal rates for any spectral regularization method with qualification at least r∨1.