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20182022
most citedLower bounds for artificial neural network approximations: A proof that shallow neural networks fail to overcome the curse of dimensionality

1 citations · 1 across the 5 of their papers we have counts for

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math.FA2021

Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, I

Sarah Koppensteiner, Jordy Timo van Velthoven, Felix Voigtlaender

This paper provides maximal function characterizations of anisotropic Triebel-Lizorkin spaces associated to general expansive matrices for the full range of parameters $p \in (0,\i…

math.NA2021★ 1 cited

Lower bounds for artificial neural network approximations: A proof that shallow neural networks fail to overcome the curse of dimensionality

Philipp Grohs, Shokhrukh Ibragimov, Arnulf Jentzen +1

Artificial neural networks (ANNs) have become a very powerful tool in the approximation of high-dimensional functions. Especially, deep ANNs, consisting of a large number of hidden…