# Deep convolutional neural networks based on semi-discrete frames

@article{Wiatowski2015DeepCN,
title={Deep convolutional neural networks based on semi-discrete frames},
author={Thomas Wiatowski and Helmut B{\"o}lcskei},
journal={2015 IEEE International Symposium on Information Theory (ISIT)},
year={2015},
pages={1212-1216}
}
• Published 21 April 2015
• Computer Science, Mathematics
• 2015 IEEE International Symposium on Information Theory (ISIT)
Deep convolutional neural networks have led to breakthrough results in practical feature extraction applications. The mathematical analysis of these networks was pioneered by Mallat [1]. Specifically, Mallat considered so-called scattering networks based on identical semi-discrete wavelet frames in each network layer, and proved translation-invariance as well as deformation stability of the resulting feature extractor. The purpose of this paper is to develop Mallat's theory further by allowing…

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