On Convexity and Bounds of Fairness-aware Classification

On Convexity and Bounds of Fairness-aware Classification
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关于公平感知分类的凸性和界限

DOI:
10.1145/3308558.3313723
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发表时间:
2019
期刊:
The World Wide Web Conference
影响因子:
--
通讯作者:
Wu, Xintao
Wu, Xintao
中科院分区:
--
文献类型:
--
作者:
Wu, Yongkai;Zhang, Lu;Wu, Xintao

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在本文中,我们研究了公平意识的分类问题,制定它作为一个约束优化问题。在以前的作品中存在一些限制,由于缺乏一个理论框架来指导制定。我们提出了一个一般的公平意识的框架,以解决以前的限制。我们的框架提供:(1)可以作为约束并入经典分类模型的各种公平性度量;(2)可以有效解决的凸约束优化问题;以及(3)使用代理函数建立的真实世界公平性度量的上下界,为约束分类器提供公平性保证。在这个框架内,我们提出了一个无约束的标准,根据该标准,任何学习的分类器都保证在指定的公平性度量方面是公平的。如果不满足无约束准则,我们进一步发展的方法的基础上构建公平分类器的界限。使用真实世界数据集的实验证明了我们的理论结果,并显示了所提出的框架的有效性。
In this paper, we study the fairness-aware classification problem by formulating it as a constrained optimization problem. Several limitations exist in previous works due to the lack of a theoretical framework for guiding the formulation. We propose a general fairness-aware framework to address previous limitations. Our framework provides: (1) various fairness metrics that can be incorporated into classic classification models as constraints; (2) the convex constrained optimization problem that can be solved efficiently; and (3) the lower and upper bounds of real-world fairness measures that are established using surrogate functions, providing a fairness guarantee for constrained classifiers. Within the framework, we propose a constraint-free criterion under which any learned classifier is guaranteed to be fair in terms of the specified fairness metric. If the constraint-free criterion fails to satisfy, we further develop the method based on the bounds for constructing fair classifiers. The experiments using real-world datasets demonstrate our theoretical results and show the effectiveness of the proposed framework.
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