论文标题
通过分位回归的结构公平性
Conformalized Fairness via Quantile Regression
论文作者
论文摘要
算法公平已受到社会敏感领域的关注。尽管已经建立了关于平均公平性的丰富文献,但有关分位数公平性的研究仍然很少,但至关重要。为了满足巨大的需求并提倡分位数公平的意义,我们提出了一个新颖的框架,以在人口统计学奇偶元的公平性要求下学习一个实现的分位数功能,例如种族或性别,从而获得可靠的公平预测间隔。使用最佳运输和功能同步技术,我们为通过公平分位数构建的诱导预测间隔建立了理论保证。提供了动手管道,以结合有效的公平调整后处理算法的灵活分位数回归。我们在多个基准数据集上证明了这种方法的出色经验性能。我们的结果表明,该模型能够发现在广泛的社会和医疗应用中取消公平准确性权衡的机制的能力。
Algorithmic fairness has received increased attention in socially sensitive domains. While rich literature on mean fairness has been established, research on quantile fairness remains sparse but vital. To fulfill great needs and advocate the significance of quantile fairness, we propose a novel framework to learn a real-valued quantile function under the fairness requirement of Demographic Parity with respect to sensitive attributes, such as race or gender, and thereby derive a reliable fair prediction interval. Using optimal transport and functional synchronization techniques, we establish theoretical guarantees of distribution-free coverage and exact fairness for the induced prediction interval constructed by fair quantiles. A hands-on pipeline is provided to incorporate flexible quantile regressions with an efficient fairness adjustment post-processing algorithm. We demonstrate the superior empirical performance of this approach on several benchmark datasets. Our results show the model's ability to uncover the mechanism underlying the fairness-accuracy trade-off in a wide range of societal and medical applications.