Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
194 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Towards Robust Neural Networks via Random Self-ensemble (1712.00673v2)

Published 2 Dec 2017 in cs.LG, cs.CR, and stat.ML

Abstract: Recent studies have revealed the vulnerability of deep neural networks: A small adversarial perturbation that is imperceptible to human can easily make a well-trained deep neural network misclassify. This makes it unsafe to apply neural networks in security-critical applications. In this paper, we propose a new defense algorithm called Random Self-Ensemble (RSE) by combining two important concepts: {\bf randomness} and {\bf ensemble}. To protect a targeted model, RSE adds random noise layers to the neural network to prevent the strong gradient-based attacks, and ensembles the prediction over random noises to stabilize the performance. We show that our algorithm is equivalent to ensemble an infinite number of noisy models $f_\epsilon$ without any additional memory overhead, and the proposed training procedure based on noisy stochastic gradient descent can ensure the ensemble model has a good predictive capability. Our algorithm significantly outperforms previous defense techniques on real data sets. For instance, on CIFAR-10 with VGG network (which has 92\% accuracy without any attack), under the strong C&W attack within a certain distortion tolerance, the accuracy of unprotected model drops to less than 10\%, the best previous defense technique has $48\%$ accuracy, while our method still has $86\%$ prediction accuracy under the same level of attack. Finally, our method is simple and easy to integrate into any neural network.

Citations (400)

Summary

  • The paper presents Random Self-Ensemble, which integrates random noise layers with ensemble methods to effectively neutralize gradient-based adversarial attacks.
  • The authors introduce a training strategy using noisy stochastic gradient descent, simulating an infinite ensemble without extra memory costs.
  • Experimental results on CIFAR-10 show that RSE maintains up to 86% accuracy under C&W attacks, outperforming existing defenses.

Insights into Robust Neural Networks via Random Self-Ensemble

The increasing application of deep neural networks (DNNs) in security-sensitive domains has brought into sharp focus their vulnerability to adversarial examples—subtle but purposeful perturbations to input data that can lead to misclassification. In the paper titled "Towards Robust Neural Networks via Random Self-ensemble," the authors approach this problem through the development of a defense mechanism called Random Self-Ensemble (RSE). This essay evaluates the methodological contributions and implications of the RSE defense against adversarial attacks in neural networks.

Overview of Random Self-Ensemble

The RSE framework is built on the principles of randomness and ensemble learning. The authors introduce random noise layers into a neural network’s architecture to disrupt powerful, gradient-based attacks, which typically exploit small perturbations in input data to cause significant output errors. The ensemble concept is embodied by performing multiple forward propagations with varying random noise and amalgamating the results to stabilize performance.

A standout feature of the RSE approach is that it effectively simulates the ensemble of an infinite number of noisy models without incurring additional memory costs. The training process employs a noisy stochastic gradient descent, aimed at ensuring this ensemble collectively achieves strong predictive capability.

Experimental Results and Performance

The authors experimentally validate the superiority of RSE compared to prior defense algorithms across datasets such as CIFAR-10. Notably, under the Carlini & Wagner (C&W) attack scenario, where typical models experience severe accuracy drops (below 10%), RSE curtails accuracy degradation, maintaining as much as 86% accuracy—considerably higher than the best alternative defenses.

Theoretical Implications

From a theoretical perspective, the paper posits RSE as a means of integrating Lipschitz regularization into the training construct, a measure theoretically linked to model robustness. The authors argue that the noisy layers pressure the optimization towards achieving stability against input variance, which is quantified by the Lipschitz constant. This regularization reinforces resilience against adversarial noises within input data, ultimately advancing the network's robustness.

Practical Implications and Future Work

Practically, the ease of integrating RSE into existing architectures and its efficiency in preserving model accuracy under attack highlight its appeal for immediate application in developing robust models. Looking ahead, exploring more comprehensive theoretical underpinnings of the random noise's effect on different neural architectures could refine the RSE approach further. Additionally, extending the empirical framework to diversified adversarial scenarios and datasets can optimize its robustness across broader applications.

In conclusion, the Random Self-Ensemble method introduces a notable advance in strengthening the defenses of deep neural networks against adversarial attacks. The implications stretch beyond immediate application benefits to influencing future explorations and methodologies focused on enhancing the secure deployment of machine learning models, especially in critical environments where robustness is paramount.