English

Revisiting "Qualitatively Characterizing Neural Network Optimization Problems"

Machine Learning 2020-12-15 v1 Artificial Intelligence

Abstract

We revisit and extend the experiments of Goodfellow et al. (2014), who showed that - for then state-of-the-art networks - "the objective function has a simple, approximately convex shape" along the linear path between initialization and the trained weights. We do not find this to be the case for modern networks on CIFAR-10 and ImageNet. Instead, although loss is roughly monotonically non-increasing along this path, it remains high until close to the optimum. In addition, training quickly becomes linearly separated from the optimum by loss barriers. We conclude that, although Goodfellow et al.'s findings describe the "relatively easy to optimize" MNIST setting, behavior is qualitatively different in modern settings.

Keywords

Cite

@article{arxiv.2012.06898,
  title  = {Revisiting "Qualitatively Characterizing Neural Network Optimization Problems"},
  author = {Jonathan Frankle},
  journal= {arXiv preprint arXiv:2012.06898},
  year   = {2020}
}

Comments

Workshop on Deep Learning and Information Geometry (NeurIPS 2020)

R2 v1 2026-06-23T20:55:30.418Z