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Adversarial Examples Are Not Easily Detected: Bypassing Ten Detection Methods (1705.07263v2)

Published 20 May 2017 in cs.LG, cs.CR, and cs.CV

Abstract: Neural networks are known to be vulnerable to adversarial examples: inputs that are close to natural inputs but classified incorrectly. In order to better understand the space of adversarial examples, we survey ten recent proposals that are designed for detection and compare their efficacy. We show that all can be defeated by constructing new loss functions. We conclude that adversarial examples are significantly harder to detect than previously appreciated, and the properties believed to be intrinsic to adversarial examples are in fact not. Finally, we propose several simple guidelines for evaluating future proposed defenses.

Citations (1,788)

Summary

  • The paper demonstrates that ten state-of-the-art adversarial detection methods can be bypassed using tailored attacker-loss functions.
  • The authors employ a comprehensive evaluation framework across zero-, perfect-, and limited-knowledge threat models.
  • The study provides clear recommendations for future defenses, urging rigorous testing on diverse datasets and adaptive, white-box attacks.

Overview of "Adversarial Examples Are Not Easily Detected: Bypassing Ten Detection Methods"

The paper "Adversarial Examples Are Not Easily Detected: Bypassing Ten Detection Methods" by Nicholas Carlini and David Wagner critically evaluates the robustness of various detection mechanisms against adversarial examples in neural networks. The authors meticulously dissect ten recent defense proposals intended to identify adversarial inputs, revealing vulnerabilities and demonstrating the difficulty of constructing effective detection mechanisms. The paper presents a compelling argument that adversarial examples are inherently challenging to detect, and it offers a rigorous methodology for evaluating future defense mechanisms in the field of adversarial machine learning.

Key Contributions

The primary contributions of the paper are:

  • Evaluation of Ten Detection Mechanisms: The paper provides an in-depth analysis of ten recently proposed detection mechanisms and shows that these mechanisms can be subverted by constructing new loss functions tailored to each defense.
  • Threat Model Framework: The authors introduce a comprehensive framework to evaluate defenses under three threat models — zero-knowledge adversary, perfect-knowledge adversary, and limited-knowledge adversary.
  • Implementation of Adaptive Attacks: Creation of customized attacker-loss functions that effectively defeat each defense mechanism in the perfect-knowledge setting.
  • Evaluation Recommendations: The paper outlines guidelines for robustly evaluating proposed defenses against adversarial examples in future research.

Evaluation Methodology

The evaluation is structured around assessing the detection mechanisms against the three predefined threat models:

  1. Zero-Knowledge Adversary: Here, the adversary is unaware of the detection mechanism. Surprisingly, six out of the ten defenses were not robust even under this basic threat model.
  2. Perfect-Knowledge Adversary: In this most stringent threat model, the adversary has full knowledge of the defense mechanism. Custom loss functions were designed to evade detection, which proved successful in breaking all the evaluated defenses.
  3. Limited-Knowledge Adversary: This model assumes the adversary knows about the type of defense but lacks access to specific parameters. The transferability property of adversarial examples was exploited to evaluate robustness in this setting, demonstrating that many defenses still fail.

Detection Mechanisms Analyzed

The ten detection mechanisms span a variety of techniques including adversarial re-training, kernel density estimation, PCA-based methods, and statistical tests. Some notable mechanisms discussed are:

  • Adversarial Retraining (Grosse et al. and Gong et al.): Both employ a secondary classifier network to identify adversarial examples. The paper shows these methods increase detection difficulty only marginally and can be effectively subverted.
  • PCA-Based Methods (Hendrycks & Gimpel, Bhagoji et al., and Li et al.): Techniques leveraging Principal Component Analysis (PCA) on input images or intermediate network layers were evaluated. Despite some initial success, they were ultimately bypassed by adaptive adversarial attacks.
  • Distributional Detection Mechanisms (Grosse et al. & Feinman et al.): Utilizing statistical approaches like Maximum Mean Discrepancy (MMD) and kernel density estimation (KDE), these methods failed to differentiate adversarial examples from natural images effectively under strong attacks.
  • Normalization-Based Defenses (Feinman et al. & Li et al.): Approaches utilizing dropout randomization and blurring to detect adversarial perturbations showed some promise, but were still bypassed by sophisticated attacks.

Empirical Findings

The empirical evaluation includes detailed results highlighting:

  • Quantitative Performance: True positive and false positive rates for each detection method across datasets like MNIST and CIFAR-10. The paper emphasizes that defenses effective on MNIST often fail on CIFAR-10, underscoring the dataset-specific nature of some detection mechanisms' success.
  • Adversarial Distortion: The evaluation of adversarial examples’ perceptual distortion, revealing that increasing robustness often comes at the cost of higher distortion, which can be perceptually noticeable.

Implications and Future Directions

The findings challenge the assumption that adversarial examples possess intrinsic differences easily detectable by defenses. The paper suggests that future research should:

  • Evaluate defenses using strong, iterative attacks rather than simpler methods like the Fast Gradient Sign Method (FGSM).
  • Ensure robustness against adaptive, white-box adversarial attacks.
  • Report comprehensive metrics including true positive and false positive rates.
  • Test efficacy on a broader array of datasets beyond MNIST to avoid overfitting to dataset-specific artifacts.
  • Release source code to facilitate reproducibility and rigorous validation by the broader research community.

Conclusion

This paper underscores the complexities and challenges in detecting adversarial examples, highlighting the need for more robust evaluations and innovative detection strategies. It provides a thorough critique of existing methods and sets the stage for future advancements in creating more resilient machine learning models. The insights and methodologies presented are indispensable for researchers aiming to enhance the security of neural networks against adversaries.