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PreprintCC BY 4.0arXiv

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data

Abstract

The rapid adoption of generative AI and Large Language Models (LLMs) has spurred interest in synthetic data as a privacy-preserving alternative to sensitive real-world datasets. However, generating high-utility synthetic data often carries the risk of memorizing and regurgitating private information from the training corpus. In this work, we present a customizable empirical auditing framework designed to detect and explain such data disclosures. Our framework introduces a mechanism to distinguish between "true disclosures"-where the system directly reproduces a user's information-and "phantom disclosures''-where the system incidentally generates a user's data. By partitioning input data into training and holdout sets and applying rigorous statistical hypothesis testing, we determine if observed disclosures are consistent with strict privacy baselines, such as zero-learning or specific Differential Privacy (DP) bounds. Crucially, this approach requires no model access, no canary insertion, and no reference model training -only the synthetic output and a held-out control set. We demonstrate that this framework effectively functions as a membership inference attack, providing empirical lower bounds on privacy leakage that are tighter than prior data-based auditing methods. Our approach is model-agnostic, applies to any synthetic data generation mechanism, and requires orders of magnitude fewer computational resources than shadow-model or canary-based alternatives.

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BibTeX
@misc{amin2026phantoms,
  title = {{Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data}},
  author = {Kareem Amin and Rudrajit Das and Alessandro Epasto and Adel Javanmard and Dennis Kraft and Mónica Ribero and Sergei Vassilvitskii},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2606.16952},
  eprint = {2606.16952},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.16952},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data
AU  - Kareem Amin
AU  - Rudrajit Das
AU  - Alessandro Epasto
AU  - Adel Javanmard
AU  - Dennis Kraft
AU  - Mónica Ribero
AU  - Sergei Vassilvitskii
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2606.16952
UR  - https://arxiv.org/abs/2606.16952
AB  - The rapid adoption of generative AI and Large Language Models (LLMs) has spurred interest in synthetic data as a privacy-preserving alternative to sensitive real-world datasets. However, generating high-utility synthetic data often carries the risk of memorizing and regurgitating private information from the training corpus. In this work, we present a customizable empirical auditing framework designed to detect and explain such data disclosures. Our framework introduces a mechanism to distinguish between "true disclosures"-where the system directly reproduces a user's information-and "phantom disclosures''-where the system incidentally generates a user's data. By partitioning input data into training and holdout sets and applying rigorous statistical hypothesis testing, we determine if observed disclosures are consistent with strict privacy baselines, such as zero-learning or specific Differential Privacy (DP) bounds. Crucially, this approach requires no model access, no canary insertion, and no reference model training -only the synthetic output and a held-out control set. We demonstrate that this framework effectively functions as a membership inference attack, providing empirical lower bounds on privacy leakage that are tighter than prior data-based auditing methods. Our approach is model-agnostic, applies to any synthetic data generation mechanism, and requires orders of magnitude fewer computational resources than shadow-model or canary-based alternatives.
ER  -