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An Investigation of Why Overparameterization Exacerbates Spurious Correlations (2005.04345v3)

Published 9 May 2020 in cs.LG, cs.CV, and stat.ML

Abstract: We study why overparameterization -- increasing model size well beyond the point of zero training error -- can hurt test error on minority groups despite improving average test error when there are spurious correlations in the data. Through simulations and experiments on two image datasets, we identify two key properties of the training data that drive this behavior: the proportions of majority versus minority groups, and the signal-to-noise ratio of the spurious correlations. We then analyze a linear setting and theoretically show how the inductive bias of models towards "memorizing" fewer examples can cause overparameterization to hurt. Our analysis leads to a counterintuitive approach of subsampling the majority group, which empirically achieves low minority error in the overparameterized regime, even though the standard approach of upweighting the minority fails. Overall, our results suggest a tension between using overparameterized models versus using all the training data for achieving low worst-group error.

Citations (345)

Summary

  • The paper demonstrates that overparameterization amplifies spurious correlations, leading to higher worst-group errors especially for minority data subsets.
  • It employs empirical studies using CelebA and Waterbirds datasets to reveal how data imbalance and the signal-to-noise ratio of features impact model biases.
  • It introduces a novel subsampling strategy for the majority class to reduce bias and improve fairness in overparameterized machine learning models.

Overparameterization and Spurious Correlations in Machine Learning

The paper entitled "An investigation of why overparameterization exacerbates spurious correlations" presents a rigorous analysis of how overparameterization, or the phenomenon of increasing model size beyond the point of zero training error, may negatively affect the performance of machine learning models on minority data subsets even as it seemingly improves average performance. This work, authored by Sagawa, Raghunathan, Koh, and Liang, explores key aspects of this dilemma using both empirical studies and theoretical analysis, providing valuable insights into the complex interplay between model size and the handling of spurious correlations within datasets.

Key Observations and Analyses

The authors conduct experiments using image datasets, namely CelebA and Waterbirds, to validate their assertions that overparameterization leads to deterioration in worst-group error—specifically, the highest classification error experienced by any subgroup present in the data. The experiments demonstrate that, while increasing model size beyond zero training error improves average test performance, it concurrently exacerbates the errors for certain minority groups. This tendency is particularly pronounced when the data includes significant spurious correlations, which models may inadvertently learn.

Through simulation studies, the research identifies two pivotal properties of the training data that deepen such issues: (1) the imbalance ratio between majority and minority groups and (2) the relative informativeness—or signal-to-noise ratio—of spurious features compared to core features. By controlling these properties, the authors provide an intuitive narrative on why overparameterization can be problematic. Namely, overparameterized models often default to utilizing less costly-to-memorize but spurious features because these require memorizing fewer minority samples compared to the more informative but noisy core features.

Theoretical Insights

A further theoretical exploration formalizes these empirical findings by utilizing a linear model setup. It models overparameterization explicitly and examines its tendency to favor using spurious correlations over core features due to its inductive bias against memorization. This analysis is critical because it illustrates that the detrimental effects of overparameterization are not just products of data properties but are intrinsically linked to how modern learning algorithms converge on solutions.

Subsampling Strategy

Acknowledging a very counterintuitive approach, the authors suggest reducing worst-group error in overparameterized models through subsampling of the majority class rather than the conventional practice of reweighting the minority class. This method effectively reduces the relative size of the majority group, thereby improving the balance of the dataset and directing the model to focus on core features that generalize better, leading to improvements in worst-group performance.

Implications and Future Directions

This paper raises critical implications in both theoretical and practical spheres of machine learning. On a practical level, it challenges entrenched beliefs around model training, suggesting alternatives for improving reliability and fairness in AI systems. The work also paves the way for future research into the nature of inductive biases in learning algorithms, especially as they relate to memorization and feature selection during overparameterization. Crucially, it argues for a more nuanced understanding of how data and model dynamics can collude, with an eye toward designing methods resilient to these adversities.

This work contributes substantially to ongoing conversations about model fairness and robustness, offering a fresh lens on how machine learning systems might inadvertently amplify biases. The paper's insights have the potential to inform both dataset preprocessing and novel algorithmic strategies that balance the benefits of high-capacity models with the ethical need for equitable performance across diverse popolations.