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Understanding Measures of Uncertainty for Adversarial Example Detection (1803.08533v1)

Published 22 Mar 2018 in stat.ML and cs.LG

Abstract: Measuring uncertainty is a promising technique for detecting adversarial examples, crafted inputs on which the model predicts an incorrect class with high confidence. But many measures of uncertainty exist, including predictive en- tropy and mutual information, each capturing different types of uncertainty. We study these measures, and shed light on why mutual information seems to be effective at the task of adversarial example detection. We highlight failure modes for MC dropout, a widely used approach for estimating uncertainty in deep models. This leads to an improved understanding of the drawbacks of current methods, and a proposal to improve the quality of uncertainty estimates using probabilistic model ensembles. We give illustrative experiments using MNIST to demonstrate the intuition underlying the different measures of uncertainty, as well as experiments on a real world Kaggle dogs vs cats classification dataset.

Citations (344)

Summary

  • The paper demonstrates that uncertainty measures, particularly mutual information, can effectively distinguish adversarial examples from natural inputs.
  • Experiments on MNIST and cats vs dogs datasets reveal that dropout ensembles improve the quality of uncertainty estimates.
  • The findings highlight a promising approach to enhancing neural network robustness by refining uncertainty quantification techniques.

Essay on "Understanding Measures of Uncertainty for Adversarial Example Detection"

The paper "Understanding Measures of Uncertainty for Adversarial Example Detection" by Lewis Smith and Yarin Gal explores the use of uncertainty measures for detecting adversarial examples in machine learning models. This research engages with the complex issue of model robustness, particularly in safety-critical and security-sensitive applications where adversarial examples pose a significant threat.

Key Contributions

The authors examine several measures of uncertainty, such as predictive entropy and mutual information, and their effectiveness in distinguishing adversarial inputs. The work is grounded in the hypothesis that adversarial examples exist off the natural image manifold, enabling models to make unconstrained extrapolations. Consequently, measuring the uncertainty could potentially detect inputs that are adversarial by determining their distance from this manifold.

Numerical Results and Findings

The paper provides some interesting findings. Experiments involving MNIST and a real-world Kaggle dataset, specifically the cats vs dogs classification task, demonstrate the behaviors of different uncertainty measures. Predictive entropy, often high for both adversarial and ambiguous data points, proved inadequate for adversarial detection without distinguishing between epistemic (knowledge-based) and aleatoric (inherent randomness) uncertainties. However, mutual information, unlike predictive entropy, increases specifically for data points that lie far from the learned image manifold, showing promise in identifying adversarial inputs.

Furthermore, the authors propose improving dropout-based uncertainty measures through probabilistic model ensembles. Their experiments showcase that such ensembles yield higher quality uncertainty estimates, reducing the number of false positives related to adversarial detection. This aspect is particularly compelling for future empirical directions.

Implications and Future Research

The paper's implications extend into both practical applications and theoretical explorations. Practically, employing uncertainty measures like mutual information could bolster the robustness of neural networks against adversarial attacks, which is crucial for deploying such models in real-world environments requiring high levels of trust. Theoretical implications pertain to the ongoing discourse on whether adversarial vulnerability is intrinsic to neural networks or if it can be addressed through improved modeling techniques.

The empirical evidence presented suggests the latter—better training models with accurate uncertainty estimation can indeed make neural networks more resilient to adversarial perturbations. The authors indicate potential avenues for refining these uncertainty estimates, primarily through exploring more scalable and efficient methods than dropout.

Conclusion

Smith and Gal's work advances the understanding of adversarial example detection using uncertainty measures. While it doesn't solve the adversarial vulnerability problem entirely, it contributes valuable insights that could inform future developments in the field. Adversarial detection through sophisticated uncertainty quantification remains a promising area for advancing machine learning robustness. As such, future research could further refine these methodologies and evaluate their scalability and efficacy in more complex datasets and model architectures.

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