The Odds are Odd: A Statistical Test for Detecting Adversarial Examples
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Proceedings of the 36th International Conference on Machine Learning, PMLR 97:54985507, 2019.
Abstract
We investigate conditions under which test statistics exist that can reliably detect examples, which have been adversarially manipulated in a whitebox attack. These statistics can be easily computed and calibrated by randomly corrupting inputs. They exploit certain anomalies that adversarial attacks introduce, in particular if they follow the paradigm of choosing perturbations optimally under pnorm constraints. Access to the logodds is the only requirement to defend models. We justify our approach empirically, but also provide conditions under which detectability via the suggested test statistics is guaranteed to be effective. In our experiments, we show that it is even possible to correct test time predictions for adversarial attacks with high accuracy.
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