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This research advances empirical privacy auditing for differentially private machine learning by modeling canary signals as asymptotically Gaussian variables rather than binary thresholds. By leveraging this distributional perspective, the proposed framework derives tighter privacy lower bounds from a single training run of DP-SGD mechanisms. The work directly strengthens practical safeguards against membership inference attacks in modern ML pipelines without requiring multiple retraining runs.
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Let's Ask Gauss: Improved One-Run Privacy Auditing

arXiv2 min read

arXiv:2606.12733v2 Announce Type: replace Abstract: Privacy auditing provides an important safeguard by estimating the actual information leaked by a model, thus ensuring that theoretical privacy guarantees hold in practice. We study empirical privacy auditing for differentially private (DP) machine learning, focusing on efficient one-run methods for mechanisms such as DP-SGD. Prior one-run approaches threshold training examples or "canaries" into binary membership guesses, which discards useful information. We show that, in the white-box DP-SGD setting, canary-aligned signals naturally form a sequence of random variables whose normalized sum is asymptotically Gaussian. Leveraging this distributional perspective, we develop a DP-auditing framework that leads to tighter privacy lower bounds from a single training run.

Abstract:Privacy auditing provides an important safeguard by estimating the actual information leaked by a model, thus ensuring that theoretical privacy guarantees hold in practice. We study empirical privacy auditing for differentially private (DP) machine learning, focusing on efficient one-run methods for mechanisms such as DP-SGD. Prior one-run approaches threshold training examples or "canaries" into binary membership guesses, which discards useful information. We show that, in the white-box DP-SGD setting, canary-aligned signals naturally form a sequence of random variables whose normalized sum is asymptotically Gaussian. Leveraging this distributional perspective, we develop a DP-auditing framework that leads to tighter privacy lower bounds from a single training run.

Machine Learning (cs.LG)

arXiv:2606.12733 [cs.LG]

(or arXiv:2606.12733v2 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2606.12733 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 197 words

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