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Differential privacy (DP) is a class of mathematical standards for assessing the privacy provided by a data-release mechanism. This work concerns two important flavors of DP that are related yet conceptually distinct: pure…

Statistics Theory · Mathematics 2024-08-22 James Bailie , Ruobin Gong

Differential privacy is often applied with a privacy parameter that is larger than the theory suggests is ideal; various informal justifications for tolerating large privacy parameters have been proposed. In this work, we consider partial…

Cryptography and Security · Computer Science 2022-09-12 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Thomas Steinke

Extended differential privacy, a generalization of standard differential privacy (DP) using a general metric, has been widely studied to provide rigorous privacy guarantees while keeping high utility. However, existing works on extended DP…

Cryptography and Security · Computer Science 2023-07-19 Natasha Fernandes , Yusuke Kawamoto , Takao Murakami

Many algorithms have been developed to estimate probability distributions subject to differential privacy (DP): such an algorithm takes as input independent samples from a distribution and estimates the density function in a way that is…

Cryptography and Security · Computer Science 2024-12-17 Albert Cheu , Debanuj Nayak

Many applications of machine learning, for example in health care, would benefit from methods that can guarantee privacy of data subjects. Differential privacy (DP) has become established as a standard for protecting learning results. The…

Machine Learning · Statistics 2017-05-30 Mikko Heikkilä , Eemil Lagerspetz , Samuel Kaski , Kana Shimizu , Sasu Tarkoma , Antti Honkela

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

A mechanism for releasing information about a statistical database with sensitive data must resolve a trade-off between utility and privacy. Privacy can be rigorously quantified using the framework of {\em differential privacy}, which…

Databases · Computer Science 2009-03-20 Arpita Ghosh , Tim Roughgarden , Mukund Sundararajan

Differential Privacy (DP) is a family of definitions that bound the worst-case privacy leakage of a mechanism. One important feature of the worst-case DP guarantee is it naturally implies protections against adversaries with less prior…

Cryptography and Security · Computer Science 2025-07-14 Marika Swanberg , Meenatchi Sundaram Muthu Selva Annamalai , Jamie Hayes , Borja Balle , Adam Smith

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

Koufogiannis et al. (2016) showed a $\textit{gradual release}$ result for Laplace noise-based differentially private mechanisms: given an $\varepsilon$-DP release, a new release with privacy parameter $\varepsilon' > \varepsilon$ can be…

Cryptography and Security · Computer Science 2025-05-29 Joel Daniel Andersson , Lukas Retschmeier , Boel Nelson , Rasmus Pagh

Differentially private (DP) mechanisms have been deployed in a variety of high-impact social settings (perhaps most notably by the U.S. Census). Since all DP mechanisms involve adding noise to results of statistical queries, they are…

Cryptography and Security · Computer Science 2023-12-20 Lucas Rosenblatt , Julia Stoyanovich , Christopher Musco

Differential privacy (DP) is the prevailing technique for protecting user data in machine learning models. However, deficits to this framework include a lack of clarity for selecting the privacy budget $\epsilon$ and a lack of…

Machine Learning · Computer Science 2023-06-29 Tyler LeBlond , Joseph Munoz , Fred Lu , Maya Fuchs , Elliott Zaresky-Williams , Edward Raff , Brian Testa

We design a class of additive noise mechanisms that satisfy \((\varepsilon, \delta)\)-differential privacy (DP) for scalar, real-valued query functions with known sensitivities, with a particular focus on moderate and low-privacy regimes.…

Cryptography and Security · Computer Science 2026-05-28 Huikang Liu , Aras Selvi , Wolfram Wiesemann

Developing machine learning methods that are privacy preserving is today a central topic of research, with huge practical impacts. Among the numerous ways to address privacy-preserving learning, we here take the perspective of computing the…

Machine Learning · Computer Science 2021-07-06 Alain Rakotomamonjy , Liva Ralaivola

Aggregating statistics over geographical regions is important for many applications, such as analyzing income, election results, and disease spread. However, the sensitive nature of this data necessitates strong privacy protections to…

Artificial Intelligence · Computer Science 2024-05-08 Aman Priyanshu , Yash Maurya , Suriya Ganesh , Vy Tran

Report Noisy Max and Above Threshold are two classical differentially private (DP) selection mechanisms. Their output is obtained by adding noise to a sequence of low-sensitivity queries and reporting the identity of the query whose (noisy)…

Machine Learning · Computer Science 2024-03-22 Jonathan Lebensold , Doina Precup , Borja Balle

We study the $\ell_2$ mechanism for computing a $d$-dimensional statistic with bounded $\ell_2$ sensitivity under approximate differential privacy. Across a range of privacy parameters, we find that the $\ell_2$ mechanism obtains lower…

Cryptography and Security · Computer Science 2025-02-25 Matthew Joseph , Alex Kulesza , Alexander Yu

Generalized linear models (GLMs) such as logistic regression are among the most widely used arms in data analyst's repertoire and often used on sensitive datasets. A large body of prior works that investigate GLMs under differential privacy…

Machine Learning · Computer Science 2021-05-13 Tejas Kulkarni , Joonas Jälkö , Antti Koskela , Samuel Kaski , Antti Honkela

We revisit Wald's celebrated Sequential Probability Ratio Test for sequential tests of two simple hypotheses, under privacy constraints. We propose DP-SPRT, a wrapper that can be calibrated to achieve desired error probabilities and privacy…

Machine Learning · Statistics 2026-02-05 Thomas Michel , Debabrota Basu , Emilie Kaufmann

We propose new differential privacy solutions for when external \emph{invariants} and \emph{integer} constraints are simultaneously enforced on the data product. These requirements arise in real world applications of private data curation,…

Cryptography and Security · Computer Science 2022-12-05 Prathamesh Dharangutte , Jie Gao , Ruobin Gong , Fang-Yi Yu