Composition Theorems for Multiple Differential Privacy Constraints

Cemre Cadir; Salim Najib; Yanina Y. Shkel

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arXiv · 2603.20968

Composition Theorems for Multiple Differential Privacy Constraints

Cemre Cadir·Salim Najib·Yanina Y. Shkel

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Abstract

The exact composition of mechanisms for which two differential privacy (DP) constraints hold simultaneously is studied. The resulting privacy region admits an exact representation as a mixture over compositions of mechanisms of heterogeneous DP guarantees, yielding a framework that naturally generalizes to the composition of mechanisms for which any number of DP constraints hold. This result is shown through a structural lemma for mixtures of binary hypothesis tests. Lastly, the developed methodology is applied to approximate $f$-DP composition.

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Cemre Cadir, Salim Najib, Yanina Y. Shkel. 2026-03-21. Composition Theorems for Multiple Differential Privacy Constraints. https://arxiv.org/abs/2603.20968

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