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A Convex Framework for Fair Regression (1706.02409v1)

Published 7 Jun 2017 in cs.LG and stat.ML

Abstract: We introduce a flexible family of fairness regularizers for (linear and logistic) regression problems. These regularizers all enjoy convexity, permitting fast optimization, and they span the rang from notions of group fairness to strong individual fairness. By varying the weight on the fairness regularizer, we can compute the efficient frontier of the accuracy-fairness trade-off on any given dataset, and we measure the severity of this trade-off via a numerical quantity we call the Price of Fairness (PoF). The centerpiece of our results is an extensive comparative study of the PoF across six different datasets in which fairness is a primary consideration.

Citations (331)

Summary

  • The paper introduces convex fairness regularizers that ensure both group and individual fairness in regression models.
  • The paper presents a Pareto frontier that quantifies the trade-off between predictive accuracy and fairness through a measurable price of fairness (PoF).
  • Empirical analysis on six datasets demonstrates the practical impact of fairness constraints in high-stakes domains like credit scoring, employment, and criminal justice.

A Convex Framework for Fair Regression: A Summary

The paper "A Convex Framework for Fair Regression" presents a methodological advancement in addressing fairness within linear and logistic regression settings. It introduces a novel set of fairness regularizers that maintain convexity, thus enabling efficient optimization while supporting both group and individual fairness. This framework is especially pertinent in applications where algorithmic decisions significantly impact individual lives, such as credit scoring, employment, and criminal justice.

Core Contributions

The authors' primary contributions are multifaceted:

  • Introduction of Fairness Regularizers: They propose a flexible family of convex fairness regularizers that range from group fairness—where disparities can be compensated across different groups—to stringent individual fairness, ensuring no offsetting of unfair predictions between individuals.
  • Pareto Frontier of Accuracy-Fairness: By varying the weight on the fairness regularizer, the framework uncovers the entire Pareto frontier of the trade-off between predictive accuracy and fairness. This is crucial for stakeholders to discern the practical impacts of incorporating fairness into their models.
  • Price of Fairness (PoF): A numerical metric, PoF, is introduced to quantify how much predictive accuracy is sacrificed for increased fairness, offering a tangible measure of this trade-off.
  • Empirical Analysis Across Datasets: The paper reports an extensive empirical evaluation on six datasets relevant to fairness-focused domains. The analyses highlight the pragmatic implications of the trade-offs in different datasets, addressing both individual and group fairness.

Numerical Results and Findings

The empirical studies demonstrate varied trade-offs across datasets, showing that some datasets endure significant reductions in predictive accuracy to achieve fairness, while others do not. An unexpected finding is that separate models for each protected group do not considerably improve fairness outcomes compared to a single model. This insight suggests that debates on using sensitive features explicitly in model building might be less impactful than previously thought.

Theoretical and Practical Implications

Theoretically, the framework provides an opportunity to select fairness measures that align with the ethical and legal standards specific to the application domain. This aspect reinforces the paper's alignment with the broader theoretical consensus that fairness metrics must be contextually defined and are often mutually incompatible.

Practically, the ability to quantify the accuracy-fairness trade-off empowers practitioners and policymakers to make informed decisions. This is essential in high-stakes decisions, ensuring that fairness does not come with prohibitive operational costs.

Future Directions

The paper opens avenues for future research in several key areas:

  • Refinement of Fairness Metrics: Developing more nuanced fairness metrics that can further mitigate accuracy loss.
  • Domain-Specific Customizations: Tailoring the model to incorporate domain-specific fairness constraints and objectives.
  • Scalability: Addressing challenges related to computational scalability for larger and more complex datasets.

Conclusion

This paper contributes a robust methodological framework for integrating fairness into regression models, underscoring the nuanced trade-offs inherent in fairness-aware machine learning. It positions itself as a valuable resource for researchers and practitioners aiming to balance predictive accuracy with equitable outcomes, especially in domains where fairness is non-negotiable.