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Provable Defenses against Adversarial Examples via the Convex Outer Adversarial Polytope

ICML 2018 · Adversarial robustness and security › Certified and empirical robustness · approach: Provable robust learning guarantees · 674 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Train using the worst-case loss bound over the convex outer adversarial polytopeConvNet · MNIST, ε=0.1robust error bound: 100% -> 5.82%Helped
Train using the worst-case loss bound over the convex outer adversarial polytopeConvNet · Fashion-MNIST, ε=0.1robust error bound: 100% -> 34.53%Helped
Train using the worst-case loss bound over the convex outer adversarial polytopeFully connected network · HAR, ε=0.05robust error bound: 81.56% -> 21.90%Helped
Train using the worst-case loss bound over the convex outer adversarial polytopeConvNet · SVHN, ε=0.01robust error bound: 100% -> 40.67%Helped
Train with robust loss instead of standard trainingMNIST ConvNet · MNIST, ε=0.1test error: 1.07% -> 1.80%Hurt
Train with robust loss instead of standard trainingFashion-MNIST ConvNet · Fashion-MNIST, ε=0.1test error: 9.36% -> 21.73%Hurt
Train with robust loss instead of standard trainingHAR network · HAR, ε=0.05test error: 4.95% -> 7.80%Hurt
Train with robust loss instead of standard trainingSVHN ConvNet · SVHN, ε=0.01test error: 16.01% -> 20.38%Hurt

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