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Classification with Fairness Constraints: A Meta-Algorithm with Provable Guarantees (1806.06055v3)

Published 15 Jun 2018 in cs.LG, cs.AI, cs.CY, cs.DS, and stat.ML

Abstract: Developing classification algorithms that are fair with respect to sensitive attributes of the data has become an important problem due to the growing deployment of classification algorithms in various social contexts. Several recent works have focused on fairness with respect to a specific metric, modeled the corresponding fair classification problem as a constrained optimization problem, and developed tailored algorithms to solve them. Despite this, there still remain important metrics for which we do not have fair classifiers and many of the aforementioned algorithms do not come with theoretical guarantees; perhaps because the resulting optimization problem is non-convex. The main contribution of this paper is a new meta-algorithm for classification that takes as input a large class of fairness constraints, with respect to multiple non-disjoint sensitive attributes, and which comes with provable guarantees. This is achieved by first developing a meta-algorithm for a large family of classification problems with convex constraints, and then showing that classification problems with general types of fairness constraints can be reduced to those in this family. We present empirical results that show that our algorithm can achieve near-perfect fairness with respect to various fairness metrics, and that the loss in accuracy due to the imposed fairness constraints is often small. Overall, this work unifies several prior works on fair classification, presents a practical algorithm with theoretical guarantees, and can handle fairness metrics that were previously not possible.

Classification with Fairness Constraints: A Meta-Algorithm with Provable Guarantees

The paper of fairness in machine learning, particularly in classification tasks, is an increasingly vital area of research given its societal implications. The paper "Classification with Fairness Constraints: A Meta-Algorithm with Provable Guarantees" by Celis, Huang, Keswani, and Vishnoi provides a comprehensive approach to incorporating fairness into classification algorithms under a variety of metrics, addressing both practical implementation and theoretical soundness.

Summary

The authors introduce a meta-algorithm capable of handling a broad range of fairness constraints within classification processes. This algorithm takes into account non-disjoint sensitive attributes and provides theoretical guarantees, an aspect often glossed over in existing solutions due to the complexity introduced by non-convex optimization problems.

The algorithm effectively reduces the challenge of fair classification with complex fairness constraints to a family of problems involving convex constraints. This reduction is critical because it permits the use of efficient convex optimization techniques to obtain fair classifiers, even when initial problem formulations appear non-convex.

Theoretical Contributions

The core contribution is the introduction of a meta-algorithm that unifies various prior works into a single framework capable of addressing previously unsolvable fairness metrics. This is achieved by developing a meta-algorithm for classification problems under convex constraints, subsequently adapting it to work within a broader context of fairness constraints.

Theoretical guarantees are provided alongside the implementation, ensuring that the classifiers produced are close to optimal concerning fairness and accuracy. These guarantees significantly enhance the reliability and appeal of the proposed method in real-world applications, where ensuring fairness is not just ethical but legally mandated.

Empirical Evaluation

One of the notable empirical results is that the meta-algorithm can achieve near-perfect fairness across various metrics with minimal loss in accuracy. The paper confirms these results on several datasets, including the Adult Income, German Credit, and COMPAS datasets. These datasets are well-regarded benchmarks in fairness studies, often scrutinized for historical biases.

In practice, the algorithm demonstrated versatility by handling predictive parity, a fairness metric crucial in criminal recidivism predictions. This flexibility is an advancement over existing methods that typically focus on a singular metric, thereby not accommodating multiple fairness concerns simultaneously.

Practical and Theoretical Implications

The implications of this work are significant both in theory and practice. Theoretically, it opens avenues for further research into fairness-aware convex optimization and the development of algorithms that can seamlessly integrate with legal fairness norms. Practically, it provides a robust tool for developers and policymakers aiming to deploy machine learning models that adhere to fairness considerations across various sensitive attributes and contexts.

Future Directions

While the work presents a considerable step forward, the authors also suggest avenues for future research, such as extending this framework to other deterministic or probabilistic loss functions beyond classification error, and adapting the framework for different kinds of classifiers. Another potential development could involve handling fairness constraints in dynamic settings, such as online learning scenarios.

Overall, this paper positions itself as a seminal work in fair machine learning, providing both a theoretical foundation and practical techniques for achieving fairness in classification tasks. It highlights the necessity of bridging normative fairness principles with technical solutions, a path that future research can continue to explore and expand.

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Authors (4)
  1. L. Elisa Celis (39 papers)
  2. Lingxiao Huang (39 papers)
  3. Vijay Keswani (19 papers)
  4. Nisheeth K. Vishnoi (73 papers)
Citations (292)