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Poster
in
Workshop: 2nd ICML Workshop on New Frontiers in Adversarial Machine Learning

Provably Robust Cost-Sensitive Learning via Randomized Smoothing

Yuan Xin · Michael Backes · Xiao Zhang

Keywords: [ robustness certification ] [ cost-sensitive learning ] [ robustness certification methods ] [ randomized smoothing ]


Abstract:

We focus on learning adversarially robust classifiers under cost-sensitive scenarios, where the potential harm of different classwise adversarial transformations is encoded in a cost matrix. Existing methods either are empirical that cannot certify robustness or suffer from inherent scalability issues. In this work, we study whether randomized smoothing, a scalable robustness certification framework, can be leveraged to certify cost-sensitive robustness. We first show how to extend the vanilla certification pipeline to provide rigorous guarantees for cost-sensitive robustness. However, when adapting the standard randomized smoothing method to train for cost-sensitive robustness, we observe that the naive reweighting scheme does not achieve a desirable performance due to the indirect optimization of the base classifier. Inspired by this observation, we propose a more direct training method with fine-grained certified radius optimization schemes designed for different data subgroups. Experiments on image benchmarks demonstrate that our method significantly improves certified cost-sensitive robustness without sacrificing overall accuracy.

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