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\(\mathcal {SATYA}\): Defending Against Adversarial Attacks Using Statistical Hypothesis Testing

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Foundations and Practice of Security (FPS 2017)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 10723))

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Abstract

The paper presents a new defense against adversarial attacks for deep neural networks. We demonstrate the effectiveness of our approach against the popular adversarial image generation method DeepFool. Our approach uses Wald’s Sequential Probability Ratio Test to sufficiently sample a carefully chosen neighborhood around an input image to determine the correct label of the image. On a benchmark of 50,000 randomly chosen adversarial images generated by DeepFool we demonstrate that our method \(\mathcal {SATYA}\) is able to recover the correct labels for 95.76% of the images for CaffeNet and 97.43% of the correct label for GoogLeNet.

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Acknowledgments

The authors would like to thank the US Air Force for support provided through the AFOSR Young Investigator Award to Sumit Jha. The authors acknowledge support from the National Science Foundation Software & Hardware Foundations #1438989 and Exploiting Parallelism & Scalability #1422257 projects. This material is based upon work supported by the Air Force Office of Scientific Research under award number FA9550-16-1-0255. This research was partially supported by ORNL’s Laboratory Directed Research and Development (LDRD) proposal 7899. This manuscript has been authored by UT-Battelle, LLC under Contract No. DE-AC05-00OR22725 with the U.S. Department of Energy.

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Raj, S., Pullum, L., Ramanathan, A., Jha, S.K. (2018). \(\mathcal {SATYA}\): Defending Against Adversarial Attacks Using Statistical Hypothesis Testing. In: Imine, A., Fernandez, J., Marion, JY., Logrippo, L., Garcia-Alfaro, J. (eds) Foundations and Practice of Security. FPS 2017. Lecture Notes in Computer Science(), vol 10723. Springer, Cham. https://doi.org/10.1007/978-3-319-75650-9_18

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  • DOI: https://doi.org/10.1007/978-3-319-75650-9_18

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