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Volume 43 Issue 11
Nov.  2021
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Yaguan QIAN, Ximin ZHANG, Bin WANG, Zhaoquan GU, Wei LI, Bensheng YUN. Adversarial Training Defense Based on Second-order Adversarial Examples[J]. Journal of Electronics & Information Technology, 2021, 43(11): 3367-3373. doi: 10.11999/JEIT200723
Citation: Yaguan QIAN, Ximin ZHANG, Bin WANG, Zhaoquan GU, Wei LI, Bensheng YUN. Adversarial Training Defense Based on Second-order Adversarial Examples[J]. Journal of Electronics & Information Technology, 2021, 43(11): 3367-3373. doi: 10.11999/JEIT200723

Adversarial Training Defense Based on Second-order Adversarial Examples

doi: 10.11999/JEIT200723
Funds:  The National Research and Development Program of China (2018YFB2100400), The National Natural Science Foundation of China (61902082)
  • Received Date: 2020-08-06
  • Rev Recd Date: 2021-08-20
  • Available Online: 2021-09-16
  • Publish Date: 2021-11-23
  • Although Deep Neural Networks (DNN) achieves high accuracy in image recognition, it is significantly vulnerable to adversarial examples. Adversarial training is one of the effective methods to resist adversarial examples empirically. Generating more powerful adversarial examples can solve the inner maximization problem of adversarial training better, which is the key to improve the effectiveness of adversarial training. In this paper, to solve the inner maximization problem, an adversarial training based on second-order adversarial examples is proposed to generate more powerful adversarial examples through quadratic polynomial approximation in a tiny input neighborhood. Through theoretical analysis, second-order adversarial examples are shown to outperform first-order adversarial examples. Experiments on MNIST and CIFAR10 data sets show that second-order adversarial examples have high attack success rate and high concealment. Compared with PGD adversarial training, adversarial training based on second-order adversarial examples is robust to all the existing typical attacks.
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