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This study empirically audits privacy leakage in edge-private graph generators, revealing that learned representations expose sensitive information beyond what conventional local statistics capture. The findings demonstrate that privacy risks are highly dependent on both the specific generation mechanism and the underlying network geometry. For practitioners deploying graph neural networks or synthetic data generators, this highlights a critical vulnerability where standard privacy assumptions fail to account for structural distinguishability attacks.
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Empirical Auditing of Edge-Private Graph Generators

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arXiv:2609.25155v1 Announce Type: cross Abstract: We empirically audit privacy leakage by testing whether outputs from edge-neighbouring inputs remain distinguishable, using statistically valid lower bounds on the privacy loss witnessed by our attacks. Our framework compares direct-edge, local-structural, and GNN-based attacks through the geometry surrounding a target edge. Experiments across two generators and two networks show that privacy leakage is both mechanism- and network-dependent, with learned representations revealing information not captured by conventional local statistics.

Abstract:We empirically audit privacy leakage by testing whether outputs from edge-neighbouring inputs remain distinguishable, using statistically valid lower bounds on the privacy loss witnessed by our attacks. Our framework compares direct-edge, local-structural, and GNN-based attacks through the geometry surrounding a target edge. Experiments across two generators and two networks show that privacy leakage is both mechanism- and network-dependent, with learned representations revealing information not captured by conventional local statistics.

Machine Learning (stat.ML); Machine Learning (cs.LG)

arXiv:2609.25155 [stat.ML]

(or arXiv:2609.25155v1 [stat.ML] for this version)

https://doi.org/10.48550/arXiv.2609.25155 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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