# Deep neural network approximation theory

### BibTeX Reference

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 @article{deep-it-2019,     author = {Grohs, Philipp and Perekrestenko, Dmytro and Elbrächter, Dennis and Bölcskei, Helmut},     title = {Deep neural network approximation theory},     journal = {IEEE Transactions on Information Theory},     status = {submitted},     month = jan,     year = 2019,     keywords = {Deep learning, neural networks, approximation theory, Kolmogorov rate-distortion theory},     url = {http://www.nari.ee.ethz.ch/pubs/p/deep-it-2019} } 
 \bibitem{deep-it-2019} P. Grohs, D. Perekrestenko, D. Elbrächter, and H. Bölcskei, Deep neural network approximation theory,'' \emph{IEEE Transactions on Information Theory}, Jan. 2019, submitted, (\emph{invited paper}). 
 P. Grohs, D. Perekrestenko, D. Elbrächter, and H. Bölcskei, "Deep neural network approximation theory," IEEE Transactions on Information Theory, Jan. 2019, submitted, (invited paper).