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Creators/Authors contains: "Rashtchian, C"

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  1. Adversarially robust machine learning has re- ceived much recent attention. However, prior attacks and defenses for non-parametric clas- sifiers have been developed in an ad-hoc or classifier-specific basis. In this work, we take a holistic look at adversarial examples for non- parametric classifiers, including nearest neigh- bors, decision trees, and random forests. We provide a general defense method, adversar- ial pruning, that works by preprocessing the dataset to become well-separated. To test our defense, we provide a novel attack that applies to a wide range of non-parametric classifiers. Theoretically, we derive an optimally robust classifier, which is analogous to the Bayes Op- timal. We show that adversarial pruning can be viewed as a finite sample approximation to this optimal classifier. We empirically show that our defense and attack are either better than or competitive with prior work on non- parametric classifiers. Overall, our results pro- vide a strong and broadly-applicable baseline for future work on robust non-parametrics. 
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