On the Duality Between Sharpness-Aware Minimization and Adversarial Training

Adversarial Training (AT), which adversarially perturb the input samples during training, has been acknowledged as one of the most effective defenses against adversarial attacks, yet suffers from a fundamental tradeoff that inevitably decreases clean accuracy. Instead of perturbing the samples, Sharpness-Aware Minimization (SAM) perturbs the model weights during training to find a more flat loss landscape and improve generalization. However, as SAM is designed for better clean accuracy, its effectiveness in enhancing adversarial robustness remains unexplored. In this work, considering the duality between SAM and AT, we investigate the adversarial robustness derived from SAM. Intriguingly, we find that using SAM alone can improve adversarial robustness. To understand this unexpected property of SAM, we first provide empirical and theoretical insights into how SAM can implicitly learn more robust features, and conduct comprehensive experiments to show that SAM can improve adversarial robustness notably without sacrificing any clean accuracy, shedding light on the potential of SAM to be a substitute for AT when accuracy comes at a higher priority. Code is available at https://github.com/weizeming/SAM_AT.

On the Relation between Sharpness-Aware Minimization and Adversarial Robustness

We propose a novel understanding of Sharpness-Aware Minimization (SAM) in the context of adversarial robustness. In this paper, we point out that both SAM and adversarial training (AT) can be viewed as specific feature perturbations, which improve adversarial robustness. However, we note that SAM and AT are distinct in terms of perturbation strength, leading to different accuracy and robustness trade-offs. We provide theoretical evidence for these claims in a simplified model with rigorous mathematical proofs. Furthermore, we conduct experiment to demonstrate that only utilizing SAM can achieve superior adversarial robustness compared to standard training, which is an unexpected benefit. As adversarial training can suffer from a decrease in clean accuracy, we show that using SAM alone can improve robustness without sacrificing clean accuracy. Code is available at https://github.com/weizeming/SAM_AT.