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Computer Science > Machine Learning

arXiv:2206.03515 (cs)
[Submitted on 7 Jun 2022]

Title:How does overparametrization affect performance on minority groups?

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Abstract:The benefits of overparameterization for the overall performance of modern machine learning (ML) models are well known. However, the effect of overparameterization at a more granular level of data subgroups is less understood. Recent empirical studies demonstrate encouraging results: (i) when groups are not known, overparameterized models trained with empirical risk minimization (ERM) perform better on minority groups; (ii) when groups are known, ERM on data subsampled to equalize group sizes yields state-of-the-art worst-group-accuracy in the overparameterized regime. In this paper, we complement these empirical studies with a theoretical investigation of the risk of overparameterized random feature models on minority groups. In a setting in which the regression functions for the majority and minority groups are different, we show that overparameterization always improves minority group performance.
Subjects:Machine Learning (cs.LG); Statistics Theory (math.ST)
Cite as:arXiv:2206.03515 [cs.LG]
 (orarXiv:2206.03515v1 [cs.LG] for this version)
 https://doi.org/10.48550/arXiv.2206.03515
arXiv-issued DOI via DataCite

Submission history

From: Subha Maity [view email]
[v1] Tue, 7 Jun 2022 18:00:52 UTC (2,707 KB)
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