Learning Fair Robustness via Domain Mixup

Fuente: arXiv
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Main Authors: Zhong, Meiyu, Tandon, Ravi
Format: Preprint
Published: 2024
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author Zhong, Meiyu
Tandon, Ravi
author_facet Zhong, Meiyu
Tandon, Ravi
contents Adversarial training is one of the predominant techniques for training classifiers that are robust to adversarial attacks. Recent work, however has found that adversarial training, which makes the overall classifier robust, it does not necessarily provide equal amount of robustness for all classes. In this paper, we propose the use of mixup for the problem of learning fair robust classifiers, which can provide similar robustness across all classes. Specifically, the idea is to mix inputs from the same classes and perform adversarial training on mixed up inputs. We present a theoretical analysis of this idea for the case of linear classifiers and show that mixup combined with adversarial training can provably reduce the class-wise robustness disparity. This method not only contributes to reducing the disparity in class-wise adversarial risk, but also the class-wise natural risk. Complementing our theoretical analysis, we also provide experimental results on both synthetic data and the real world dataset (CIFAR-10), which shows improvement in class wise disparities for both natural and adversarial risks.
format Preprint
id arxiv_https___arxiv_org_abs_2411_14424
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Learning Fair Robustness via Domain Mixup
Zhong, Meiyu
Tandon, Ravi
Machine Learning
Cryptography and Security
Computers and Society
Adversarial training is one of the predominant techniques for training classifiers that are robust to adversarial attacks. Recent work, however has found that adversarial training, which makes the overall classifier robust, it does not necessarily provide equal amount of robustness for all classes. In this paper, we propose the use of mixup for the problem of learning fair robust classifiers, which can provide similar robustness across all classes. Specifically, the idea is to mix inputs from the same classes and perform adversarial training on mixed up inputs. We present a theoretical analysis of this idea for the case of linear classifiers and show that mixup combined with adversarial training can provably reduce the class-wise robustness disparity. This method not only contributes to reducing the disparity in class-wise adversarial risk, but also the class-wise natural risk. Complementing our theoretical analysis, we also provide experimental results on both synthetic data and the real world dataset (CIFAR-10), which shows improvement in class wise disparities for both natural and adversarial risks.
title Learning Fair Robustness via Domain Mixup
topic Machine Learning
Cryptography and Security
Computers and Society
url https://arxiv.org/abs/2411.14424