On the Stability of Deep Networks

Wow! after this, this and this, we are now converging:

On the Stability of Deep Networks by Raja Giryes, Guillermo Sapiro, Alex M. Bronstein

In this work we study the properties of deep neural networks 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.

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