English

Network-size independent covering number bounds for deep networks

Machine Learning 2017-11-10 v2 Machine Learning

Abstract

We give a covering number bound for deep learning networks that is independent of the size of the network. The key for the simple analysis is that for linear classifiers, rotating the data doesn't affect the covering number. Thus, we can ignore the rotation part of each layer's linear transformation, and get the covering number bound by concentrating on the scaling part.

Keywords

Cite

@article{arxiv.1711.00753,
  title  = {Network-size independent covering number bounds for deep networks},
  author = {Mayank Kabra and Kristin Branson},
  journal= {arXiv preprint arXiv:1711.00753},
  year   = {2017}
}

Comments

We found a possible error in our analysis. We are re-evaluating, and may resubmit