42 citations · 57 across the 10 of their papers we have counts for
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math.NA2019★ 5 cited
Error bounds for deep ReLU networks using the Kolmogorov--Arnold superposition theorem
Hadrien Montanelli, Haizhao Yang
We prove a theorem concerning the approximation of multivariate functions by deep ReLU networks, for which the curse of the dimensionality is lessened. Our theorem is based on a co…
math.NA2019
Deep ReLU networks overcome the curse of dimensionality for bandlimited functions
Hadrien Montanelli, Haizhao Yang, Qiang Du
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 ba…