一句话:提出 PROF 框架,利用区间界传播与 MILP 求解,为 DNN 公平性修复提供可证明保证并提升泛化。
深度神经网络面临个体歧视等伦理问题,现有公平性修复方法多依赖数据,缺乏可证明保证且难以泛化到未见样本。本文提出 PROF:利用区间界传播可靠刻画偏置样本邻域集合 S(x) 上的模型输出,以边界引导修复,使模型在 S(x) 上输出一致;并将公平约束与模型修改统一为约束求解式,转化为混合整数线性规划(MILP),由现成求解器求解,得到在整个 S(x) 上具有公平保证的模型。在四个基准数据集上,PROF 实现可证明修复,全集泛化最高 95.93%,整个输入空间 93.16%,支持多敏感属性与更实用公平定义,公平性约提升 90%。
Deep neural networks (DNNs) are suffering from ethical issues such as individual discrimination. In response, extensive NN repair techniques have been developed to adjust models and mitigate such undesired behaviors. However, existing fairness repair methods are typically data-centric, which often lack provable guarantees and generalization to unseen samples. To overcome these limitations, we propose PROF, a novel fairness repair framework with provable guarantees. The key intuition of PROF is to leverage interval bound propagation (a widely used NN verification technique) to soundly capture model outputs over the whole set ${\mathcal{S}}\left(x\right)$ around a biased sample x. The derived bounds are utilized to guide fairness repair which encourages the model to produce consistent outputs on ${\mathcal{S}}\left(x\right)$. Specifically, we integrate fairness constraints and model modifications into a unified constraint-solving formulation, which can be transformed to a Mixed-Integer Linear Programming (MILP) problem solvable by off-the-shelf solvers. The solution to the MILP problem effectively induces a repaired model with guaranteed fairness over the whole set ${\mathcal{S}}\left(x\right)$. We evaluate PROF on four widely used benchmark datasets and demonstrate that it achieves provable fairness repair, with generalization of up to 95.93% on full datasets and 93.16% on the entire input space. Notably, PROF can be easily configured to support multiple sensitive attributes and more practical fairness definitions, while providing provable repair guarantees and delivering around 90% fairness improvement. Our code is available in this $\color{red}{\text{repository}}$.