arXiv:2510.07536cs.LGeess.SP2025-10

从静态图数据中构建公平图,避免敏感属性带来的连接偏见。

Estimating Fair Graphs from Graph-Stationary Data

  • 基于图信号平稳性,设计两种优化方法估计公平图结构。
  • 提出谱域新度量,实现高概率公平-准确权衡,不牺牲精度。
  • 适用于社交网络、推荐系统等需公平性的图任务,尤其关注群体与个体公平。

我们从图平稳的节点观测中估计公平图,使边的连接不偏向于特定敏感属性群体。现实世界图常表现出对某些群体组合的偏好,这种偏见不仅加剧,甚至会引发下游图任务中的不公平对待。为此,我们分别针对群体和节点层级定义了群组公平与个体公平。为评估图的公平性,我们提供多种偏见度量,包括新的谱域测量方法。进一步提出公平谱模板(FairSpecTemp),一种基于优化的方法,具有两个变体,用于从平稳图信号中估计公平图——该模型是涵盖多种现有模型的通用图数据模型。其中一个变体利用图平稳性的交换性质,直接约束偏见;另一个通过限制图谱上的偏见来隐式鼓励公平估计,更具灵活性。我们的方法具备高概率性能界,实现公平与准确性的条件权衡。分析表明,恢复公平图无需牺牲准确性。我们在合成与真实世界数据集上评估 FairSpecTemp,验证其有效性,并凸显两种变体的优势。

原文摘要 · Abstract (English)

We estimate fair graphs from graph-stationary nodal observations such that connections are not biased with respect to sensitive attributes. Edges in real-world graphs often exhibit preferences for connecting certain pairs of groups. Biased connections can not only exacerbate but even induce unfair treatment for downstream graph-based tasks. We therefore consider group and individual fairness for graphs corresponding to group- and node-level definitions, respectively. To evaluate the fairness of a given graph, we provide multiple bias metrics, including novel measurements in the spectral domain. Furthermore, we propose Fair Spectral Templates (FairSpecTemp), an optimization-based method with two variants for estimating fair graphs from stationary graph signals, a general model for graph data subsuming many existing ones. One variant of FairSpecTemp exploits commutativity properties of graph stationarity while directly constraining bias, while the other implicitly encourages fair estimates by restricting bias in the graph spectrum and is thus more flexible. Our methods enjoy high probability performance bounds, yielding a conditional tradeoff between fairness and accuracy. In particular, our analysis reveals that accuracy need not be sacrificed to recover fair graphs. We evaluate FairSpecTemp on synthetic and real-world data sets to illustrate its effectiveness and highlight the advantages of both variants of FairSpecTemp.

图公平性谱方法图生成机器学习

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