An Effective Theory of Bias Amplification

Fuente: arXiv
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Hauptverfasser: Subramonian, Arjun, Bell, Samuel J., Sagun, Levent, Dohmatob, Elvis
Format: Preprint
Veröffentlicht: 2024
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author Subramonian, Arjun
Bell, Samuel J.
Sagun, Levent
Dohmatob, Elvis
author_facet Subramonian, Arjun
Bell, Samuel J.
Sagun, Levent
Dohmatob, Elvis
contents Machine learning models can capture and amplify biases present in data, leading to disparate test performance across social groups. To better understand, evaluate, and mitigate these biases, a deeper theoretical understanding of how model design choices and data distribution properties contribute to bias is needed. In this work, we contribute a precise analytical theory in the context of ridge regression, both with and without random projections, where the former models feedforward neural networks in a simplified regime. Our theory offers a unified and rigorous explanation of machine learning bias, providing insights into phenomena such as bias amplification and minority-group bias in various feature and parameter regimes. For example, we observe that there may be an optimal regularization penalty or training time to avoid bias amplification, and there can be differences in test error between groups that are not alleviated with increased parameterization. Importantly, our theoretical predictions align with empirical observations reported in the literature on machine learning bias. We extensively empirically validate our theory on synthetic and semi-synthetic datasets.
format Preprint
id arxiv_https___arxiv_org_abs_2410_17263
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An Effective Theory of Bias Amplification
Subramonian, Arjun
Bell, Samuel J.
Sagun, Levent
Dohmatob, Elvis
Machine Learning
Computers and Society
Machine learning models can capture and amplify biases present in data, leading to disparate test performance across social groups. To better understand, evaluate, and mitigate these biases, a deeper theoretical understanding of how model design choices and data distribution properties contribute to bias is needed. In this work, we contribute a precise analytical theory in the context of ridge regression, both with and without random projections, where the former models feedforward neural networks in a simplified regime. Our theory offers a unified and rigorous explanation of machine learning bias, providing insights into phenomena such as bias amplification and minority-group bias in various feature and parameter regimes. For example, we observe that there may be an optimal regularization penalty or training time to avoid bias amplification, and there can be differences in test error between groups that are not alleviated with increased parameterization. Importantly, our theoretical predictions align with empirical observations reported in the literature on machine learning bias. We extensively empirically validate our theory on synthetic and semi-synthetic datasets.
title An Effective Theory of Bias Amplification
topic Machine Learning
Computers and Society
url https://arxiv.org/abs/2410.17263