Tight Auditing of Differential Privacy in MST and AIM

Fuente: arXiv
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Autori principali: Ganev, Georgi, Annamalai, Meenatchi Sundaram Muthu Selva, Kulynych, Bogdan
Natura: Preprint
Pubblicazione: 2026
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author Ganev, Georgi
Annamalai, Meenatchi Sundaram Muthu Selva
Kulynych, Bogdan
author_facet Ganev, Georgi
Annamalai, Meenatchi Sundaram Muthu Selva
Kulynych, Bogdan
contents State-of-the-art Differentially Private (DP) synthetic data generators such as MST and AIM are widely used, yet tightly auditing their privacy guarantees remains challenging. We introduce a Gaussian Differential Privacy (GDP)-based auditing framework that measures privacy via the full false-positive/false-negative tradeoff. Applied to MST and AIM under worst-case settings, our method provides the first tight audits in the strong-privacy regime. For $(ε,δ)=(1,10^{-2})$, we obtain $μ_{emp}\approx0.43$ vs. implied $μ=0.45$, showing a small theory-practice gap. Our code is publicly available: https://github.com/sassoftware/dpmm.
format Preprint
id arxiv_https___arxiv_org_abs_2604_18352
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Tight Auditing of Differential Privacy in MST and AIM
Ganev, Georgi
Annamalai, Meenatchi Sundaram Muthu Selva
Kulynych, Bogdan
Cryptography and Security
Artificial Intelligence
Machine Learning
State-of-the-art Differentially Private (DP) synthetic data generators such as MST and AIM are widely used, yet tightly auditing their privacy guarantees remains challenging. We introduce a Gaussian Differential Privacy (GDP)-based auditing framework that measures privacy via the full false-positive/false-negative tradeoff. Applied to MST and AIM under worst-case settings, our method provides the first tight audits in the strong-privacy regime. For $(ε,δ)=(1,10^{-2})$, we obtain $μ_{emp}\approx0.43$ vs. implied $μ=0.45$, showing a small theory-practice gap. Our code is publicly available: https://github.com/sassoftware/dpmm.
title Tight Auditing of Differential Privacy in MST and AIM
topic Cryptography and Security
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2604.18352