EAD: Elastic-Net Attacks to Deep Neural Networks via Adversarial Examples

Abstract

Recent studies have highlighted the vulnerability of deep neural networks (DNNs) to adversarial examples — a visually indistinguishable adversarial image can easily be crafted to cause a well-trained model to misclassify. Existing methods for crafting adversarial examples are based on L₂ and L_∞ distortion metrics. However, despite the fact that L₁ distortion accounts for the total variation and encourages sparsity in the perturbation, little has been developed for crafting L₁-based adversarial examples. In this paper, we formulate the process of attacking DNNs via adversarial examples as an elastic-net regularized optimization problem. Our elastic-net attacks to DNNs (EAD) feature L₁-oriented adversarial examples and include the state-of-the-art L₂ attack as a special case. Experimental results on MNIST, CIFAR10 and ImageNet show that EAD can yield a distinct set of adversarial examples with small L₁ distortion and attains similar attack performance to the state-of-the-art methods in different attack scenarios. More importantly, EAD leads to improved attack transferability and complements adversarial training for DNNs, suggesting novel insights on leveraging L₁ distortion in adversarial machine learning and security implications of DNNs.