When Can Memorization Improve Fairness?

Fuente: arXiv
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Main Authors: Pepin, Bob, Igel, Christian, Selvan, Raghavendra
Format: Preprint
Published: 2024
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author Pepin, Bob
Igel, Christian
Selvan, Raghavendra
author_facet Pepin, Bob
Igel, Christian
Selvan, Raghavendra
contents We study to which extent additive fairness metrics (statistical parity, equal opportunity and equalized odds) can be influenced in a multi-class classification problem by memorizing a subset of the population. We give explicit expressions for the bias resulting from memorization in terms of the label and group membership distribution of the memorized dataset and the classifier bias on the unmemorized dataset. We also characterize the memorized datasets that eliminate the bias for all three metrics considered. Finally we provide upper and lower bounds on the total probability mass in the memorized dataset that is necessary for the complete elimination of these biases.
format Preprint
id arxiv_https___arxiv_org_abs_2412_09254
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle When Can Memorization Improve Fairness?
Pepin, Bob
Igel, Christian
Selvan, Raghavendra
Machine Learning
Computers and Society
We study to which extent additive fairness metrics (statistical parity, equal opportunity and equalized odds) can be influenced in a multi-class classification problem by memorizing a subset of the population. We give explicit expressions for the bias resulting from memorization in terms of the label and group membership distribution of the memorized dataset and the classifier bias on the unmemorized dataset. We also characterize the memorized datasets that eliminate the bias for all three metrics considered. Finally we provide upper and lower bounds on the total probability mass in the memorized dataset that is necessary for the complete elimination of these biases.
title When Can Memorization Improve Fairness?
topic Machine Learning
Computers and Society
url https://arxiv.org/abs/2412.09254