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arXiv · 2208.05395

A Sublinear Adversarial Training Algorithm

Yeqi Gao·Lianke Qin·Zhao Song·Yitan Wang
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Abstract

Adversarial training is a widely used strategy for making neural networks resistant to adversarial perturbations. For a neural network of width $m$, $n$ input training data in $d$ dimension, it takes $\Omega(mnd)$ time cost per training iteration for the forward and backward computation. In this paper we analyze the convergence guarantee of adversarial training procedure on a two-layer neural network with shifted ReLU activation, and shows that only $o(m)$ neurons will be activated for each input data per iteration. Furthermore, we develop an algorithm for adversarial training with time cost $o(m n d)$ per iteration by applying half-space reporting data structure.

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Yeqi Gao, Lianke Qin, Zhao Song, Yitan Wang. 2022-08-10. A Sublinear Adversarial Training Algorithm. https://arxiv.org/abs/2208.05395

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