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A PAC-Bayes Analysis of Adversarial Robustness

NeurIPS 2021 · Adversarial robustness and security › Certified and empirical robustness · approach: Provable robust learning guarantees · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Train with PGDU defenseDifferentiable decision-tree majority vote with signed voters · MNIST 1vs7, ℓ2, PGDU attackaveraged adversarial risk: .263 -> .021Helped
Train with PGDU defenseDifferentiable decision-tree majority vote with signed voters · MNIST 1vs7, ℓ2, PGDU attackclassical adversarial risk: .245 -> .006Helped
Train with PGDU defenseDifferentiable decision-tree majority vote with signed voters · MNIST 1vs7, ℓ2, IFGSMU attackaveraged adversarial risk: .066 -> .013Helped
Add uniform-noise defenseDifferentiable decision-tree majority vote with signed voters · MNIST 1vs7, ℓ2, PGDU attackaveraged adversarial risk: .263 -> .151Helped
Use PGDU rather than uniform-noise defenseDifferentiable decision-tree majority vote with signed voters · MNIST 1vs7, ℓ2, PGDU attackaveraged adversarial risk: .151 -> .021Helped
Use signed rather than unsigned voters (ablation)PGDU-defended differentiable decision-tree majority vote · MNIST 1vs7, ℓ2, PGDU attackbound: 1.389 -> .137Helped
Use signed rather than unsigned voters (ablation)PGDU-defended differentiable decision-tree majority vote · MNIST 1vs7, ℓ2, PGDU attackclassical adversarial risk: .030 -> .028Helped

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