Generalization Bounds for Deep Convolutional Neural Networks

Abstract

We prove bounds on the generalization error of convolutional networks. The bounds are in terms of the training loss, the number of parameters, the Lipschitz constant of the loss and the distance from the weights to the initial weights. They are independent of the number of pixels in the input, and the height and width of hidden feature maps. We present experiments using CIFAR-10 with varying hyperparameters of a deep convolutional network, comparing our bounds with practical generalization gaps.

Cite

Text

Long and Sedghi. "Generalization Bounds for Deep Convolutional Neural Networks." International Conference on Learning Representations, 2020.

Markdown

[Long and Sedghi. "Generalization Bounds for Deep Convolutional Neural Networks." International Conference on Learning Representations, 2020.](https://mlanthology.org/iclr/2020/long2020iclr-generalization/)

BibTeX

@inproceedings{long2020iclr-generalization,
  title     = {{Generalization Bounds for Deep Convolutional Neural Networks}},
  author    = {Long, Philip M. and Sedghi, Hanie},
  booktitle = {International Conference on Learning Representations},
  year      = {2020},
  url       = {https://mlanthology.org/iclr/2020/long2020iclr-generalization/}
}