<p>Though deep neural networks (DNNs) have demonstrated remarkable success in the community, it is very vulnerable to adversarial examples. Frequency domain transformation-based methods have been successfully utilized in adversarial attacks, such as AdvDrop. Nonetheless, AdvDrop cannot accurately drop the detail information of images due to the limitation of discrete cosine transform (DCT) to extract precise frequency information. In addition, adversarial examples generated by AdvDrop present noticeable blocking artifacts that considerably impair their quality caused by block-based image coding. Towards these ends, we propose a novel fusion-based frequency adversarial attack method named AdvWave, which generates adversarial examples using discrete wavelet transform (DWT) to extract more detailed frequency information from input images. AdvWave can effectively extract sub-band information which is discriminative for DNNs. Moreover, it adds elaborate perturbations to low-frequency information and drops the discriminative information in the process of quantization. By fusing the processed low-frequency and high-frequency information, the reconstructed images generated by AdvWave can easily fool the DNNs. Extensive experiments on several benchmark datasets demonstrate the effectiveness of AdvWave in improving the attack success rate and the quality of generated adversarial examples. The attack success rate of AdvWave on ImageNet surpasses the state-of-the-art method (AdvDrop) by an average of 1.5<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10044_2025_1458_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\%\)</EquationSource> </InlineEquation>, and it achieves an improvement of 19.7<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10044_2025_1458_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\%\)</EquationSource> </InlineEquation> on CIFAR-10. The Mean Squared Error (MSE) of adversarial examples generated by AdvWave is 0.00011, and the Structural Similarity Index (SSIM) is 0.981, both of which outperform AdvDrop. The code and data are available on the website <a href="https://github.com/dongfangbai11/AdvWave">https://github.com/dongfangbai11/AdvWave</a>.</p>

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AdvWave: adversarial examples generation with wavelet feature fusion mechanisms

  • Cong Hu,
  • Peng Wan,
  • Xiaojun Wu

摘要

Though deep neural networks (DNNs) have demonstrated remarkable success in the community, it is very vulnerable to adversarial examples. Frequency domain transformation-based methods have been successfully utilized in adversarial attacks, such as AdvDrop. Nonetheless, AdvDrop cannot accurately drop the detail information of images due to the limitation of discrete cosine transform (DCT) to extract precise frequency information. In addition, adversarial examples generated by AdvDrop present noticeable blocking artifacts that considerably impair their quality caused by block-based image coding. Towards these ends, we propose a novel fusion-based frequency adversarial attack method named AdvWave, which generates adversarial examples using discrete wavelet transform (DWT) to extract more detailed frequency information from input images. AdvWave can effectively extract sub-band information which is discriminative for DNNs. Moreover, it adds elaborate perturbations to low-frequency information and drops the discriminative information in the process of quantization. By fusing the processed low-frequency and high-frequency information, the reconstructed images generated by AdvWave can easily fool the DNNs. Extensive experiments on several benchmark datasets demonstrate the effectiveness of AdvWave in improving the attack success rate and the quality of generated adversarial examples. The attack success rate of AdvWave on ImageNet surpasses the state-of-the-art method (AdvDrop) by an average of 1.5 \(\%\) , and it achieves an improvement of 19.7 \(\%\) on CIFAR-10. The Mean Squared Error (MSE) of adversarial examples generated by AdvWave is 0.00011, and the Structural Similarity Index (SSIM) is 0.981, both of which outperform AdvDrop. The code and data are available on the website https://github.com/dongfangbai11/AdvWave.