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Adversarial Examples Are Not Bugs, They Are Features

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link: https://arxiv.org/abs/1905.02175

Adversarial attacks

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Standard training vs Robust training

Standard training
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Robust training (adversarial loss function)
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What was the common consensus on adversarial attacks?

  • Viewed adversarial examples as aberrations arising either from the high dimensional nature of the input space or statistical fluctuations in the training data.

What this paper proposes?

  • Adversarial vulnerability is a direct result of our models' sensitivity to well-generalization features in the data.

The model's main objective is to increase the accuracy rate. If there is a feature that cooperates with that goal, it will make use of it. Because non-robust features are well-generalizing features, enhancing the accuracy, it is exploited. This explains why different models have adversarial transferability. The two models were trying to find the best classifying features.

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defining robustness

Binary classification (+1 or -1)
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p-useful features

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As the name implies, we define the features that are useful for classification.

Gamma-robustly useful features

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Even with the introduction of perturbation, it remains gamma-useful feature.

non-robust useful feature

  • A useful, non-robust feature is a feature which is p-useful for some p
    bounded away from zero, but is not a gamma-robust feature for any gamma >= 0.

That means that while under no perturbation a feature was giving a positive value for a given x, it may give a negative value for the same x under perturbation application.

Constructing a robust dataset (with only robust features)

  • Making robust images directly from the original pictures by minimizing the distance between the features.
  • Start from random noise (or another random image from another class) and backpropagate wrt the image.
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Constructing a non-robust dataset (with only non-robust features)

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Results of the experiment

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