Black-box Certification and Learning under Adversarial Perturbations

Hassan Ashtiani; Vinayak Pathak; Ruth Urner

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arXiv · 2006.16520

Black-box Certification and Learning under Adversarial Perturbations

Hassan Ashtiani·Vinayak Pathak·Ruth Urner

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Abstract

We formally study the problem of classification under adversarial perturbations from a learner's perspective as well as a third-party who aims at certifying the robustness of a given black-box classifier. We analyze a PAC-type framework of semi-supervised learning and identify possibility and impossibility results for proper learning of VC-classes in this setting. We further introduce a new setting of black-box certification under limited query budget, and analyze this for various classes of predictors and perturbation. We also consider the viewpoint of a black-box adversary that aims at finding adversarial examples, showing that the existence of an adversary with polynomial query complexity can imply the existence of a sample efficient robust learner.

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Hassan Ashtiani, Vinayak Pathak, Ruth Urner. 2020-06-30. Black-box Certification and Learning under Adversarial Perturbations. https://arxiv.org/abs/2006.16520

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