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arXiv · 1902.10887

Towards Robust ResNet: A Small Step but A Giant Leap

Jingfeng Zhang·Bo Han·Laura Wynter·Kian Hsiang Low·Mohan Kankanhalli
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Abstract

This paper presents a simple yet principled approach to boosting the robustness of the residual network (ResNet) that is motivated by the dynamical system perspective. Namely, a deep neural network can be interpreted using a partial differential equation, which naturally inspires us to characterize ResNet by an explicit Euler method. Our analytical studies reveal that the step factor h in the Euler method is able to control the robustness of ResNet in both its training and generalization. Specifically, we prove that a small step factor h can benefit the training robustness for back-propagation; from the view of forward-propagation, a small h can aid in the robustness of the model generalization. A comprehensive empirical evaluation on both vision CIFAR-10 and text AG-NEWS datasets confirms that a small h aids both the training and generalization robustness.

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Jingfeng Zhang, Bo Han, Laura Wynter, Kian Hsiang Low, Mohan Kankanhalli. 2019-02-28. Towards Robust ResNet: A Small Step but A Giant Leap. https://arxiv.org/abs/1902.10887

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