# A mathematical theory of deep convolutional neural networks for feature extraction

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 @article{deep-2017,     author = {Wiatowski, Thomas and Bölcskei, Helmut},     title = {A mathematical theory of deep convolutional neural networks for feature extraction},     journal = {IEEE Transactions on Information Theory},     volume = 64,     number = 3,     pages = {1845--1866},     month = mar,     year = 2018,     keywords = {Machine learning, deep convolutional neural networks, scattering networks, feature extraction, frame theory. },     url = {http://www.nari.ee.ethz.ch/pubs/p/deep-2017} } 
 \bibitem{deep-2017} T. Wiatowski and H. Bölcskei, A mathematical theory of deep convolutional neural networks for feature extraction,'' \emph{IEEE Transactions on Information Theory}, Vol. 64, No. 3, pp. 1845-1866, Mar. 2018. 
 T. Wiatowski and H. Bölcskei, "A mathematical theory of deep convolutional neural networks for feature extraction," IEEE Transactions on Information Theory, Vol. 64, No. 3, pp. 1845-1866, Mar. 2018.