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Deep ReLU networks overcome the curse of dimensionality for bandlimited functions
Published 2 Mar 2019 in math.NA and cs.NA | (1903.00735v4)
Abstract: We prove a theorem concerning the approximation of bandlimited multivariate functions by deep ReLU networks for which the curse of the dimensionality is overcome. Our theorem is based on a result by Maurey and on the ability of deep ReLU networks to approximate Chebyshev polynomials and analytic functions efficiently.
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