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

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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…