Multiple fairness constraints have been proposed in the literature, motivated by a range of concerns about how demographic groups might be treated unfairly by machine learning classifiers. In this work we consider a different motivation; learning from biased training data. We posit several ways in which training data may be biased, including having a more noisy or negatively biased labeling process on members of a disadvantaged group, or a decreased prevalence of positive or negative examples from the disadvantaged group, or both. Given such biased training data, Empirical Risk Minimization (ERM) may produce a classifier that not only is biased but also has suboptimal accuracy on the true data distribution. We examine the ability of fairness-constrained ERM to correct this problem. In particular, we find that the Equal Opportunity fairness constraint [Hardt et al., 2016] combined with ERM will provably recover the Bayes optimal classifier under a range of bias models. We also consider other recovery methods including re-weighting the training data, Equalized Odds, and Demographic Parity, and Calibration. These theoretical results provide additional motivation for considering fairness interventions even if an actor cares primarily about accuracy.
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On the Vulnerability of Fairness Constrained Learning to Malicious Noise
We consider the vulnerability of fairness-constrained learning to malicious noise in the training data. Konstantinov and Lampert (2021) initiated the study of this question and proved that any proper learner can exhibit high vulnerability when group sizes are imbalanced. Here, we present a more optimistic view, showing that if we allow randomized classifiers, then the landscape is much more nuanced. For example, for Demographic Parity we need only incur a Θ(α) loss in accuracy, where α is the malicious noise rate, matching the best possible even without fairness constraints. For Equal Opportunity, we show we can incur an O(sqrt(α)) loss, and give a matching Ω(sqrt(α)) lower bound. For Equalized Odds and Predictive Parity, however, and adversary can indeed force an Ω(1) loss. The key technical novelty of our work is how randomization can bypass simple 'tricks' an adversary can use to amplify its power. These results provide a more fine-grained view of the sensitivity of fairness-constrained learning to adversarial noise in training data.
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- Award ID(s):
- 2212968
- PAR ID:
- 10511433
- Publisher / Repository:
- Proceedings of Machine Learning Research
- Date Published:
- Journal Name:
- 27th International Conference on Artificial Intelligence and Statistics (AISTATS 2024)
- Subject(s) / Keyword(s):
- Fairness Adversarial machine learning
- Format(s):
- Medium: X
- Location:
- Valencia, Spain
- Sponsoring Org:
- National Science Foundation
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