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Composition Theorems for f-Differential Privacy

Published: December 23, 2025 | arXiv ID: 2512.21358v1

By: Natasha Fernandes, Annabelle McIver, Parastoo Sadeghi

Potential Business Impact:

Protects your private information better online.

Business Areas:
Privacy Privacy and Security

"f differential privacy" (fDP) is a recent definition for privacy privacy which can offer improved predictions of "privacy loss". It has been used to analyse specific privacy mechanisms, such as the popular Gaussian mechanism. In this paper we show how fDP's foundation in statistical hypothesis testing implies equivalence to the channel model of Quantitative Information Flow. We demonstrate this equivalence by a Galois connection between two partially ordered sets. This equivalence enables novel general composition theorems for fDP, supporting improved analysis for complex privacy designs.

Country of Origin
🇦🇺 Australia

Page Count
32 pages

Category
Computer Science:
Cryptography and Security