Generalization bounds for deep convolutional neural networks

Sep 25, 2019 Blind Submission readers: everyone Show Bibtex
  • Keywords: generalization, convolutional networks, statistical learning theory
  • TL;DR: We prove generalization bounds for convolutional neural networks that take account of weight-tying
  • 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.
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