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Realisation-Level Privacy Filtering
[Submitted on 9 Apr 2026 (v1), last revised 12 Jul 2026 (this ve · 2026-04-10 · via cs.IT updates on arXiv.org

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Abstract:We study differentially private data release, where a database is accessed through successive, possibly adaptive queries and mechanisms. Existing composition theorems and privacy filters almost always combine worst case per-round privacy parameters, leaving room for more refined accounting based on realised leakage, which we term realisation-level accounting. We present a realisation-level filtering approach to determine stopping times for data releases, and design one such filter. Despite technical challenges arising from conditioning on realisations and stopping time, we prove that the filter guarantees $(\epsilon, \delta)$-differential privacy, with $\epsilon$ and $\delta$ chosen by the data handler. Through numerical evidence, we demonstrate that realisation-level filtering provides a path to better utility beyond mechanism-level methods. Furthermore, our proposed filter applies to arbitrary mechanisms, including those that are badly behaved under Rényi differential privacy.

Submission history

From: Sophie Taylor [view email]
[v1] Thu, 9 Apr 2026 16:31:38 UTC (187 KB)
[v2] Sun, 12 Jul 2026 18:47:48 UTC (188 KB)