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On the distance between two neural networks and the stability of learning

Machine Learning 2021-01-11 v3 Numerical Analysis Neural and Evolutionary Computing Numerical Analysis Machine Learning

Abstract

This paper relates parameter distance to gradient breakdown for a broad class of nonlinear compositional functions. The analysis leads to a new distance function called deep relative trust and a descent lemma for neural networks. Since the resulting learning rule seems to require little to no learning rate tuning, it may unlock a simpler workflow for training deeper and more complex neural networks. The Python code used in this paper is here: https://github.com/jxbz/fromage.

Keywords

Cite

@article{arxiv.2002.03432,
  title  = {On the distance between two neural networks and the stability of learning},
  author = {Jeremy Bernstein and Arash Vahdat and Yisong Yue and Ming-Yu Liu},
  journal= {arXiv preprint arXiv:2002.03432},
  year   = {2021}
}