db6461eaf0eaeaad1d9c4a70e4818cbd-Supplemental-Conference.pdf

Neural Information Processing Systems 

Weshowaseparation result: on one hand, if the query radiusλis strictly smaller than the adversary's perturbation budgetρ, then distribution-free robust learning is impossible for a widevarietyofconcept classes; ontheotherhand,thesettingλ=ρallowsusto develop robust ERM algorithms.

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