Fast Adversarial Training against Sparse Attacks Requires Loss Smoothing
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Abstract (arXiv)
This paper studies fast adversarial training against sparse adversarial perturbations bounded by l0 norm. We demonstrate the challenges of employing 1-step attacks on l0 bounded perturbations for fast adversarial training, including degraded performance and the occurrence of catastrophic overfitting (CO). We highlight that CO in l0 adversarial training is caused by sub-optimal perturbation locations of 1-step attack. Theoretical and empirical analyses reveal that the loss landscape of l0 adversarial training is more craggy compared to its l_∞, l2 and l1 counterparts. Moreover, we corroborate that the craggy loss landscape can aggravate CO. To address these issues, we propose Fast-LS-l0 that incorporates soft labels and the trade-off loss function to smooth the adversarial loss landscape. Extensive experiments demonstrate our method can overcome the challenge of catastrophic overfitting, achieve state-of-the-art performance, and narrow down the performance gap between 1-step and multi-step adversarial training against sparse attacks.
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 48 of its 67 references that are in the map. First posted on arXiv 28 Feb 2025.
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References · 48
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