Composition Theorems for Multiple Differential Privacy Constraints
Information Theory
2026-04-16 v2 Cryptography and Security
math.IT
Statistics Theory
Statistics Theory
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 -DP composition.
Cite
@article{arxiv.2603.20968,
title = {Composition Theorems for Multiple Differential Privacy Constraints},
author = {Cemre Cadir and Salim Najib and Yanina Y. Shkel},
journal= {arXiv preprint arXiv:2603.20968},
year = {2026}
}
Comments
Extended version of article in 2026 IEEE International Symposium on Information Theory (ISIT 2026)