@article{amathematicaltheoryofdeepconvolutional,
  title = {A Mathematical Theory of Deep Convolutional Neural Networks for Feature Extraction},
  author = {Thomas Wiatowski and Helmut Bölcskei},
  year = {2015},
  eprint = {1512.06293},
  archivePrefix = {arXiv},
  url = {http://arxiv.org/abs/1512.06293v3},
}