Deep Neural Networks with Random Gaussian Weights: A Universal Classification Strategy?

  title={Deep Neural Networks with Random Gaussian Weights: A Universal Classification Strategy?},
  author={Raja Giryes and G. Sapiro and A. Bronstein},
  journal={IEEE Transactions on Signal Processing},
  • Raja Giryes, G. Sapiro, A. Bronstein
  • Published 2016
  • Computer Science, Mathematics
  • IEEE Transactions on Signal Processing
  • Three important properties of a classification machinery are i) the system preserves the core information of the input data; ii) the training examples convey information about unseen data; and iii) the system is able to treat differently points from different classes. In this paper, we show that these fundamental properties are satisfied by the architecture of deep neural networks. We formally prove that these networks with random Gaussian weights perform a distance-preserving embedding of the… CONTINUE READING
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