Research map / Adversarial robustness and security / Certified and empirical robustness
Improving Adversarial Robustness of Deep Equilibrium Models with Explicit Regulations Along the Neural Dynamics
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add test-time input entropy reduction along neural dynamics (Sec. 3.2) (ablation) | DEQ-Large trained with TRADES · CIFAR-10 ALL robustness | ALL robustness (%): 50.33 -> 50.52 | Helped |
| Add random intermediate-state loss during AT (Sec. 3.3) (ablation) | DEQ-Large trained with TRADES · CIFAR-10 ALL robustness | ALL robustness (%): 50.33 -> 49.64 (decrease under ALL; PGD-10 rises 50.46 -> 51.10) | Helped |
| Add both Sec. 3.2 and Sec. 3.3 together (ablation) | DEQ-Large trained with TRADES · CIFAR-10 ALL robustness | ALL robustness (%): 50.33 -> 51.50 | Helped |
| Add Sec. 3.2 entropy reduction to PGD-AT DEQ (ablation) | DEQ-Large trained with PGD-AT · CIFAR-10 ALL robustness | ALL robustness (%): 47.58 -> 49.31 | Helped |
| Add Sec. 3.3 random intermediate loss to PGD-AT DEQ (ablation) | DEQ-Large trained with PGD-AT · CIFAR-10 ALL robustness | ALL robustness (%): 47.58 -> 48.09 | Helped |
| Add both Sec. 3.2 and Sec. 3.3 to PGD-AT DEQ (ablation) | DEQ-Large trained with PGD-AT · CIFAR-10 ALL robustness | ALL robustness (%): 47.58 -> 43.79 (AA drops to 43.79 while PGD rises to 49.22) | Mixed |
| Test-time entropy reduction (Sec. 3.2) with R=20, Tf=2 vs varied settings (ablation) | TRADES + Sec. 3.3 DEQ · CIFAR-10 min PGD robustness over intermediate attacks | robust accuracy (%): Tf=1 to 8 lowers accuracy (e.g. R=10: 55.07 at Tf=1, 52.83 at Tf=8); larger R helps at Tf=2 | Mixed |
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