On the Stability of Deep Networks

In this work we study the properties of deep neural networks (DNN) with random weights. We formally prove that these networks perform a distance-preserving embedding of the data. Based on this we then draw conclusions on the size of the training data and the networks' structure. A longer vers...

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Bibliographic Details
Main Authors: Giryes, Raja, Sapiro, Guillermo, Bronstein, Alex M.
Format: text
Published: 2014
Online Access:http://arxiv.org/abs/1412.5896