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Theoretical and applied research into privacy encompasses an incredibly broad swathe of differing approaches, emphasis and aims. This work introduces a new quantitative notion of privacy that is both contextual and specific. We argue that…

Statistics Theory · Mathematics 2026-03-05 Cameron Bell , Timothy Johnston , Antoine Luciano , Christian P Robert

As the use of differential privacy (DP) becomes widespread, the development of effective tools for reasoning about the privacy guarantee becomes increasingly critical. In pursuit of this goal, we demonstrate novel relationships between DP…

Cryptography and Security · Computer Science 2025-07-15 Zeki Kazan , Sagar Sharma , Wanrong Zhang , Bo Jiang , Qiang Yan

We present a comprehensive view of the relations among several privacy notions: differential privacy (DP) [1], Bayesian differential privacy (BDP) [2], semantic privacy (SP) [3], and membership privacy (MP) [4]. The results are organized…

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

We present associative and causal views of differential privacy. Under the associative view, the possibility of dependencies between data points precludes a simple statement of differential privacy's guarantee as conditioning upon a single…

Cryptography and Security · Computer Science 2019-07-09 Michael Carl Tschantz , Shayak Sen , Anupam Datta

The notion of $\varepsilon$-differential privacy is a widely used concept of providing quantifiable privacy to individuals. However, it is unclear how to explain the level of privacy protection provided by a differential privacy mechanism…

Cryptography and Security · Computer Science 2024-04-08 Saskia Nuñez von Voigt , Luise Mehner , Florian Tschorsch

This paper aims at answering the following two questions in privacy-preserving data analysis and publishing: What formal privacy guarantee (if any) does $k$-anonymization provide? How to benefit from the adversary's uncertainty about the…

Cryptography and Security · Computer Science 2015-03-17 Ninghui Li , Wahbeh Qardaji , Dong Su

Transparency and reproducibility are often seen in opposition to privacy and confidentiality. Data that need to be kept confidential are seen as an impediment to reproducibility, and privacy would seem to inhibit transparency. I bring a…

General Economics · Economics 2023-07-06 Lars Vilhuber

So far, privacy models follow two paradigms. The first paradigm, termed inferential privacy in this paper, focuses on the risk due to statistical inference of sensitive information about a target record from other records in the database.…

Databases · Computer Science 2012-02-17 Ke Wang , Peng Wang , Ada Waichee Fu , Raywong Chi-Wing Wong

Differential privacy formalises privacy-preserving mechanisms that provide access to a database. We pose the question of whether Bayesian inference itself can be used directly to provide private access to data, with no modification. The…

Differential privacy (DP) is a mathematical privacy notion increasingly deployed across government and industry. With DP, privacy protections are probabilistic: they are bounded by the privacy budget parameter, $\epsilon$. Prior work in…

Cryptography and Security · Computer Science 2023-03-02 Priyanka Nanayakkara , Mary Anne Smart , Rachel Cummings , Gabriel Kaptchuk , Elissa Redmiles

Differential privacy is a definition of "privacy'" for algorithms that analyze and publish information about statistical databases. It is often claimed that differential privacy provides guarantees against adversaries with arbitrary side…

Cryptography and Security · Computer Science 2023-01-24 Shiva Prasad Kasiviswanathan , Adam Smith

Differential privacy is a notion of privacy that has become very popular in the database community. Roughly, the idea is that a randomized query mechanism provides sufficient privacy protection if the ratio between the probabilities of two…

Information Theory · Computer Science 2010-12-22 Mário S. Alvim , Konstantinos Chatzikokolakis , Pierpaolo Degano , Catuscia Palamidessi

Post-processing immunity is a fundamental property of differential privacy: it enables the application of arbitrary data-independent transformations to the results of differentially private outputs without affecting their privacy…

Machine Learning · Computer Science 2020-10-12 Keyu Zhu , Pascal Van Hentenryck , Ferdinando Fioretto

Differential privacy is a privacy measure based on the difficulty of discriminating between similar input data. In differential privacy analysis, similar data usually implies that their distance does not exceed a predetermined threshold.…

Optimization and Control · Mathematics 2021-06-25 Genki Sugiura , Kaito Ito , Kenji Kashima

We study how to communicate findings of Bayesian inference to third parties, while preserving the strong guarantee of differential privacy. Our main contributions are four different algorithms for private Bayesian inference on…

Artificial Intelligence · Computer Science 2015-12-23 Zuhe Zhang , Benjamin Rubinstein , Christos Dimitrakakis

In the modern digital world users need to make privacy and security choices that have far-reaching consequences. Researchers are increasingly studying people's decisions when facing with privacy and security trade-offs, the pressing and…

Software Engineering · Computer Science 2023-07-10 Paola Inverardi , Patrizio Migliarini , Massimiliano Palmiero

Private closeness testing asks to decide whether the underlying probability distributions of two sensitive datasets are identical or differ significantly in statistical distance, while guaranteeing (differential) privacy of the data. As in…

Data Structures and Algorithms · Computer Science 2023-09-14 Clément L. Canonne , Yucheng Sun

Differential privacy is a widely studied notion of privacy for various models of computation. Technically, it is based on measuring differences between probability distributions. We study $\epsilon,\delta$-differential privacy in the…

Formal Languages and Automata Theory · Computer Science 2020-07-16 Dmitry Chistikov , Andrzej S. Murawski , David Purser

Differential privacy protects an individual's privacy by perturbing data on an aggregated level (DP) or individual level (LDP). We report four online human-subject experiments investigating the effects of using different approaches to…

Cryptography and Security · Computer Science 2020-04-01 Aiping Xiong , Tianhao Wang , Ninghui Li , Somesh Jha

The tension between persuasion and privacy preservation is common in real-world settings. Online platforms should protect the privacy of web users whose data they collect, even as they seek to disclose information about these data to…

Computer Science and Game Theory · Computer Science 2024-02-27 Yuqi Pan , Zhiwei Steven Wu , Haifeng Xu , Shuran Zheng
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