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Less is More: Culling the Training Set to Improve Robustness of Deep Neural Networks

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Decision and Game Theory for Security (GameSec 2018)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 11199))

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Abstract

Deep neural networks are vulnerable to adversarial examples. Prior defenses attempted to make deep networks more robust by either changing the network architecture or augmenting the training set with adversarial examples, but both have inherent limitations. Motivated by recent research that shows outliers in the training set have a high negative influence on the trained model, we studied the relationship between model robustness and the quality of the training set. We first show that outliers give the model better generalization ability but weaker robustness. Next, we propose an adversarial example detection framework, in which we design two methods for removing outliers from training set to obtain the sanitized model and then detect adversarial example by calculating the difference of outputs between the original and the sanitized model. We evaluated the framework on both MNIST and SVHN. Based on the difference measured by Kullback-Leibler divergence, we could detect adversarial examples with accuracy between 94.67% to 99.89%.

Y. Liu and J. Chen—Equal contribution

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Notes

  1. 1.

    Unlike data sanitization, which commonly modifies individual datum, we modify no example but merely remove outliers from the training set.

  2. 2.

    Some computer fonts are difficult to recognize and therefore are excluded from our evaluation

  3. 3.

    http://yann.lecun.com/exdb/mnist/.

  4. 4.

    http://ufldl.stanford.edu/housenumbers/.

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Acknowledgment

This material is based upon work supported by the National Science Foundation under Grant No. 1801751.

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Correspondence to Yongshuai Liu , Jiyu Chen or Hao Chen .

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Liu, Y., Chen, J., Chen, H. (2018). Less is More: Culling the Training Set to Improve Robustness of Deep Neural Networks. In: Bushnell, L., Poovendran, R., BaÅŸar, T. (eds) Decision and Game Theory for Security. GameSec 2018. Lecture Notes in Computer Science(), vol 11199. Springer, Cham. https://doi.org/10.1007/978-3-030-01554-1_6

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  • DOI: https://doi.org/10.1007/978-3-030-01554-1_6

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-030-01554-1

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