Abstract

In recent years, deep neural network (DNN) approaches prove to be useful in many machine learning tasks, including classification. However, small perturbations that are carefully crafted by attackers can lead to the misclassification of the images. Previous studies have shown that adversarial subspaces lie off (but close to) the data submanifold and detection techniques based on the distributional difference between adversarial and normal samples have been proposed. These distribution-based detection techniques achieve excellent performance in characterizing adversarial samples. In this paper, We propose W-PGD to generate adversarial samples close to normal data distribution to bypass those detecting mechanisms. We trained a neural network WassNet to estimate the difference between two distributions using Wasserstein distance and use the gradient of WassNet to constrain the Wasserstein distance between adversarial and normal samples’ distribution. Our experiment shows that W-PGD can effectively decrease the detection rate of distribution-based detection techniques and generate adversarial samples with constrained Wasserstein distance.

Highlights

  • Deep learning has been widely used and has achieved state of art performances on image classification

  • The adversarial samples constructed for one model have a considerable probability to succeed in attacking other deep neural network (DNN) models [8], [9], which makes DNN models having fatal security risks when applied in the real-world environment

  • We show that adversarial samples generated by W-PGD can decrease the detection rate of distribution based detecting techniques including [14, LID], [15, KD], [15, BU] and craft adversarial samples more imperceptible by human

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Summary

Introduction

Deep learning has been widely used and has achieved state of art performances on image classification. Recent studies have found that by adding a small perturbation to the normal image, the deep neural network can make classification errors whereas the perturbation is still unrecognizable to human [1]–[3]. This kind of sample is called adversarial sample [1]. Image recognition technology is widely used in autonomous vehicle to recognize the situation around the car. The existence of adversarial samples is a serious security issue

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