Recent works have shown the effectiveness of randomized smoothing as a scalable technique for building neural network-based classifiers that are provably robust to $\ell_2$-norm adversarial perturbations. In this paper, we employ adversarial training to improve the performance of randomized smoothing. We design an adapted attack for smoothed classifiers, and we show how this attack can be used in an adversarial training setting to boost the provable robustness of smoothed classifiers. We demonstrate through extensive experimentation that our method consistently outperforms all existing provably $\ell_2$-robust classifiers by a significant margin on ImageNet and CIFAR-10, establishing the state-of-the-art for provable $\ell_2$-defenses. Our code and trained models are available at http://github.com/Hadisalman/smoothing-adversarial .

本文提出使用对抗训练来提高基于随机平滑的分类器的效果，并设计一种适应平滑分类器的攻击方法，通过大量实验，得出这种方法在ImageNet和CIFAR-10上的性能显著胜过所有现有的可证明的L2-强健分类器，证明了这种方法是可靠的，且半监督学习和预训练能够进一步提高其效果。

通过对抗训练平滑分类器实现可证明健壮的深度学习