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Mind the Box: $l_1$-APGD for Sparse Adversarial Attacks on Image Classifiers

ICML 2021 · Adversarial robustness and security › Certified and empirical robustness · approach: Attack evaluation and defense critique · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
exact projection onto l1-ball ∩ [0,1]^d instead of approximate projection (L1+clipping) (ablation)l1-APGD and existing l1-PGD attacks (SLIDE, Maini et al.) · CIFAR-10 l1 eps=12, Figure 2robust accuracy and best lossHelped
adaptive sparsity and step-size schedule (single-eps l1-APGD) instead of fixed top-k sparsity (SLIDE)l1-PGD attack · CIFAR-10 l1 eps=12, 100 iterations, Table 1robust accuracy (%): APGD_CE 61.3 vs SLIDE 66.6 on the APGD-AT model; 50.4 vs 53.8 on Maini AVGHelped
multi-eps schedule (3eps, 2eps, eps phases) added to l1-APGD (ablation)single-eps l1-APGD · CIFAR-10 l1 eps=12, Figure 2robust loss and accuracyHelped
upscale Square candidate by 3 and project onto l1-ball ∩ [0,1]^d (l1-Square adaptation)Square Attack · CIFAR-10 l1 eps=12 black-box comparison, Table 4robust accuracy (%)Helped
adversarial training with l1-APGD (10 steps) instead of standard l1-PGDResNet-18 adversarial training, l1 eps=12 · CIFAR-10 high budget, Table 2robust accuracy (%) under AA: 60.3 vs 51.9 for best prior model (Madaan et al.)Helped
reduce APGD steps from 100 to 25 (single-eps, adaptive) (ablation)single-eps l1-APGD · CIFAR-10 l1 eps=12, Figure 3robust accuracyNo clear effect

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