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We prove a theorem concerning the approximation of bandlimited multivariate functions by deep ReLU networks for which the curse of the dimensionality is overcome.
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N. Cohen, O. Sharir, A. Shashua, On the expressive power of deep learning: A tensor analysis, in: V. Feldman, A. Rakhlin, O. Shamir (Eds.), 29th Annual Conference on Learning Theory, Proc. Mach. Learn. Res. 49, Columbia University, New York, 2016, pp. 698–728
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