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We initiate a study of the composition properties of interactive differentially private mechanisms. An interactive differentially private mechanism is an algorithm that allows an analyst to adaptively ask queries about a sensitive dataset,…

Cryptography and Security · Computer Science 2021-09-17 Salil Vadhan , Tianhao Wang

We study the concurrent composition properties of interactive differentially private mechanisms, whereby an adversary can arbitrarily interleave its queries to the different mechanisms. We prove that all composition theorems for…

Data Structures and Algorithms · Computer Science 2023-03-31 Salil Vadhan , Wanrong Zhang

In this paper, we study the concurrent composition of interactive mechanisms with adaptively chosen privacy-loss parameters. In this setting, the adversary can interleave queries to existing interactive mechanisms, as well as create new…

Cryptography and Security · Computer Science 2025-05-30 Samuel Haney , Michael Shoemate , Grace Tian , Salil Vadhan , Andrew Vyrros , Vicki Xu , Wanrong Zhang

Many intended uses of differential privacy involve a $\textit{continual mechanism}$ that is set up to run continuously over a long period of time, making more statistical releases as either queries come in or the dataset is updated. In this…

Data Structures and Algorithms · Computer Science 2026-03-17 Monika Henzinger , Roodabeh Safavi , Salil Vadhan

Differential privacy (DP) is a widely applied paradigm for releasing data while maintaining user privacy. Its success is to a large part due to its composition property that guarantees privacy even in the case of multiple data releases.…

Cryptography and Security · Computer Science 2022-09-29 Valentin Hartmann , Vincent Bindschaedler , Robert West

The composition theorems of differential privacy (DP) allow data curators to combine different algorithms to obtain a new algorithm that continues to satisfy DP. However, new granularity notions (i.e., neighborhood definitions), data…

Cryptography and Security · Computer Science 2024-04-18 Patricia Guerra-Balboa , Àlex Miranda-Pascual , Javier Parra-Arnau , Thorsten Strufe

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…

Information Theory · Computer Science 2026-04-16 Cemre Cadir , Salim Najib , Yanina Y. Shkel

Composition is one of the most important properties of differential privacy (DP), as it allows algorithm designers to build complex private algorithms from DP primitives. We consider precise composition bounds of the overall privacy loss…

Cryptography and Security · Computer Science 2020-06-26 Jinshuo Dong , David Durfee , Ryan Rogers

Differential Privacy (DP) considers a scenario in which an adversary has almost complete information about the entries of a database. This worst-case assumption is likely to overestimate the privacy threat faced by an individual in…

Cryptography and Security · Computer Science 2026-02-11 Dennis Breutigam , Rüdiger Reischuk

In the study of differential privacy, composition theorems (starting with the original paper of Dwork, McSherry, Nissim, and Smith (TCC'06)) bound the degradation of privacy when composing several differentially private algorithms. Kairouz,…

Computational Complexity · Computer Science 2016-06-01 Jack Murtagh , Salil Vadhan

Differential privacy (DP) has become the gold standard for privacy-preserving data analysis, but its applicability can be limited in scenarios involving complex dependencies between sensitive information and datasets. To address this, we…

Cryptography and Security · Computer Science 2025-05-05 Tao Zhang , Bradley A. Malin , Netanel Raviv , Yevgeniy Vorobeychik

Differential Privacy (DP) is the leading approach to privacy preserving deep learning. As such, there are multiple efforts to provide drop-in integration of DP into popular frameworks. These efforts, which add noise to each gradient…

Machine Learning · Statistics 2021-06-08 Mathias Lécuyer

"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…

Cryptography and Security · Computer Science 2025-12-29 Natasha Fernandes , Annabelle McIver , Parastoo Sadeghi

Composition is a key feature of differential privacy. Well-known advanced composition theorems allow one to query a private database quadratically more times than basic privacy composition would permit. However, these results require that…

Machine Learning · Computer Science 2023-10-25 Justin Whitehouse , Aaditya Ramdas , Ryan Rogers , Zhiwei Steven Wu

We show that the `optimal' use of the parallel composition theorem corresponds to finding the size of the largest subset of queries that `overlap' on the data domain, a quantity we call the \emph{maximum overlap} of the queries. It has…

Cryptography and Security · Computer Science 2021-09-21 Josh Smith , Hassan Jameel Asghar , Gianpaolo Gioiosa , Sirine Mrabet , Serge Gaspers , Paul Tyler

Sequential querying of differentially private mechanisms degrades the overall privacy level. In this paper, we answer the fundamental question of characterizing the level of overall privacy degradation as a function of the number of queries…

Data Structures and Algorithms · Computer Science 2015-12-08 Peter Kairouz , Sewoong Oh , Pramod Viswanath

In many practical applications of differential privacy, practitioners seek to provide the best privacy guarantees subject to a target level of accuracy. A recent line of work by Ligett et al. '17 and Whitehouse et al. '22 has developed such…

Cryptography and Security · Computer Science 2023-12-07 Ryan Rogers , Gennady Samorodnitsky , Zhiwei Steven Wu , Aaditya Ramdas

Differential privacy is a rigorous privacy standard that has been applied to a range of data analysis tasks. To broaden the application scenarios of differential privacy when data records have dependencies, the notion of Bayesian…

Cryptography and Security · Computer Science 2019-11-05 Jun Zhao

Differential privacy (DP) is a widely used notion for reasoning about privacy when publishing aggregate data. In this paper, we observe that certain DP mechanisms are amenable to a posteriori privacy analysis that exploits the fact that…

Cryptography and Security · Computer Science 2023-06-21 Valentin Hartmann , Vincent Bindschaedler , Alexander Bentkamp , Robert West

Composition is a cornerstone of classical differential privacy, enabling strong end-to-end guarantees for complex algorithms through composition theorems (e.g., basic and advanced). In the quantum setting, however, privacy is defined…

Quantum Physics · Physics 2026-01-05 Daniel Alabi , Theshani Nuradha
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