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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

An interactive mechanism is an algorithm that stores a data set and answers adaptively chosen queries to it. The mechanism is called differentially private, if any adversary cannot distinguish whether a specific individual is in the data…

Cryptography and Security · Computer Science 2022-10-17 Xin Lyu

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

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

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 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

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

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 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

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

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

Privacy is an increasingly important aspect of data publishing. Reasoning about privacy, however, is fraught with pitfalls. One of the most significant is the auxiliary information (also called external knowledge, background knowledge, or…

Databases · Computer Science 2008-12-18 Srivatsava Ranjit Ganta , Shiva Prasad Kasiviswanathan , Adam Smith

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

In this paper we initiate the study of adaptive composition in differential privacy when the length of the composition, and the privacy parameters themselves can be chosen adaptively, as a function of the outcome of previously run analyses.…

Cryptography and Security · Computer Science 2021-08-09 Ryan Rogers , Aaron Roth , Jonathan Ullman , Salil Vadhan

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

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 is a formal mathematical {stand-ard} for quantifying the degree of that individual privacy in a statistical database is preserved. To guarantee differential privacy, a typical method is adding random noise to the…

Information Theory · Computer Science 2017-03-08 Jianping He , Lin Cai

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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