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Black-box Certification and Learning under Adversarial Perturbations

ICML 2020 · Adversarial robustness and security › Black-box and transfer attacks · approach: Query-efficient black-box attacks · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add a margin-class finite-VC condition (margin class has finite VC-dimension) to the proper learning setupproper robust learning of VC classes · distribution-free agnostic robust learninglearnability (sample complexity O(D log D + log(1/δ))/ε², D = VC(H)+VC(H_mar))Helped
Give the proper learner oracle access to margin weights P(mar_h) (margin oracle) under robust realizabilityproper robust learning of H · robust-realizable distributionsproper learnability with labeled sample complexity Õ((VC(H)+log(1/δ))/ε)Helped
Give proper learner error and margin oracles without robust realizability (non-realizable setting)proper robust learning · exact error and margin oraclesproper learnability of robust loss minimizerHurt
Require a perfect, proper, efficient adversary (query complexity linear in sample size) for properly compressible classesrobust learning sample complexity · robust realizable casesample complexity O(t log^2 t), t=VC(H)/ε²Helped
Relax certification to a tolerant version (accept answers in [L^U - eps, L^V + eps]) with a gap gamma between perturbation radiiblack-box certification of half-spaces in R^2 · l2 balls radius 1 vs 1+gammaquery complexity O(1/(sqrt(gamma) eps^2))Helped

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