arXiv:2605.03388cs.LGcs.CR2026-05

差分隐私保护的图神经网络解释仍可被用来重建原始图结构。

Graph Reconstruction from Differentially Private GNN Explanations

论文配图:Graph Reconstruction from Differentially Private GNN Explanations
图 1 · 摘自论文原文
  • 将差分隐私解释还原为反向扩散过程,实现图结构重建。
  • 在ε=5时,攻击在7个数据集中的5个达到AUC>0.7,超出常规隐私预算。
  • 揭示了不同解释方法在同隐私预算下的泄露差异,指导实践选择。

监管框架如GDPR要求机器学习预测必须附带事后解释,即使原始数据和训练模型无法公开。差分隐私(DP)是缓解解释释放后剩余隐私风险的标准方法。我们发现DP并不足够:仅观察经过差分隐私扰动的GNN解释,攻击者即可高精度重构隐藏的图结构。我们的攻击方法PRIVX利用高斯DP机制等价于已知噪声水平σ(ε)下的单步DDPM前向过程,将重建问题转化为在受损信号下进行逆向扩散,这是一种基于已知DP扰动的贝叶斯去噪器。我们构建了一个分层对手模型,参数为(M, ς, δ, S, ρ),介于盲猜与全知攻击者之间,并推导出重建AUC的两端匹配双侧边界。对从业者而言,我们提供按场景划分的解释器选择建议:在同质图上,邻域聚合型解释器(GraphLIME、GNNExplainer)比逐节点梯度解释器泄漏更多结构;在强异质图上,这一顺序反转。我们引入辅助诊断工具PRIVF,共享相同的扩散主干,将泄露分解为解释器引发与图分布固有两部分。在七个基准、三种DP机制、三种GNN骨干上的实验表明,PRIVX在ε=5时于五个数据集上达到AUC>0.7,且攻击在典型部署的隐私预算内即能成功。

原文摘要 · Abstract (English)

Regulatory frameworks such as GDPR increasingly require that ML predictions be accompanied by post-hoc explanations, even when raw data and trained models cannot be released. Differential privacy (DP) is the standard mitigation for the residual privacy risk of releasing these explanations. We show that DP is not sufficient: an adversary observing only DP-perturbed GNN explanations can reconstruct hidden graph structure with high accuracy. Our attack, PRIVX, exploits the fact that the Gaussian DP mechanism is a single DDPM forward step at known noise level σ(ε), recasting reconstruction as reverse diffusion conditioned on the corrupted signal, a principled Bayesian denoiser under known DP corruption. We formalise a stratified adversary model parameterised by (M, \hatε, \hatδ, S, ρ) that interpolates between oblivious and oracle attackers, and derive endpoint-matched two-sided bounds on reconstruction AUC. For practitioners, we provide regime-stratified guidance on explainer choice: on homophilic graphs, neighbourhood-aggregating explainers (GraphLIME, GNNExplainer) leak more structure than per-node gradient explainers under the same DP budget; on strongly heterophilic graphs the ordering reverses. We introduce PRIVF as an auxiliary diagnostic sharing the same diffusion backbone to decompose leakage into explainer-induced and intrinsic graph-distribution components. Experiments across seven benchmarks, three DP mechanisms, and three GNN backbones show PRIVX achieves AUC above 0.7 at ε = 5 on five of seven datasets, with the attack succeeding well within typically deployed privacy budgets.

图神经网络差分隐私隐私泄露解释器安全

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