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math.ST2021
Estimation of a regression function on a manifold by fully connected deep neural networks
Michael Kohler, Sophie Langer, Ulrich Reif
Estimation of a regression function from independent and identically distributed data is considered. The error with integration with respect to the distribution of the predic…
math.ST2020
Analysis of the rate of convergence of fully connected deep neural network regression estimates with smooth activation function
Sophie Langer
This article contributes to the current statistical theory of deep neural networks (DNNs). It was shown that DNNs are able to circumvent the so--called curse of dimensionality in c…