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We develop new abstractions for reasoning about relaxations of differential privacy: R\'enyi differential privacy, zero-concentrated differential privacy, and truncated concentrated differential privacy, which express different bounds on…

Programming Languages · Computer Science 2019-10-09 Tetsuya Sato , Gilles Barthe , Marco Gaboardi , Justin Hsu , Shin-ya Katsumata

In this paper, we develop compositional methods for formally verifying differential privacy for algorithms whose analysis goes beyond the composition theorem. Our methods are based on the observation that differential privacy has deep…

Logic in Computer Science · Computer Science 2021-03-16 Gilles Barthe , Marco Gaboardi , Benjamin Grégoire , Justin Hsu , Pierre-Yves Strub

This thesis explores proofs by coupling from the perspective of formal verification. Long employed in probability theory and theoretical computer science, these proofs construct couplings between the output distributions of two…

Logic in Computer Science · Computer Science 2017-11-02 Justin Hsu

Differential privacy comes equipped with multiple analytical tools for the design of private data analyses. One important tool is the so-called "privacy amplification by subsampling" principle, which ensures that a differentially private…

Machine Learning · Computer Science 2018-11-26 Borja Balle , Gilles Barthe , Marco Gaboardi

This paper proposes a novel watchdog privatization scheme by generalizing local information privacy (LIP) to enhance data utility. To protect the sensitive features $S$ correlated with some useful data $X$, LIP restricts the lift, the ratio…

Information Theory · Computer Science 2022-05-31 Mohammad Amin Zarrabian , Ni Ding , Parastoo Sadeghi

This chapter is meant to be part of the book "Differential Privacy for Artificial Intelligence Applications." We give an introduction to the most important property of differential privacy -- composition: running multiple independent…

Cryptography and Security · Computer Science 2022-10-27 Thomas Steinke

Differential privacy (DP) has recently emerged as a definition of privacy to release private estimates. DP calibrates noise to be on the order of an individuals contribution. Due to the this calibration a private estimate obscures any…

Machine Learning · Statistics 2025-08-26 Carlos Soto

Differential privacy is a promising formal approach to data privacy, which provides a quantitative bound on the privacy cost of an algorithm that operates on sensitive information. Several tools have been developed for the formal…

Logic in Computer Science · Computer Science 2018-03-16 Gilles Barthe , Noémie Fong , Marco Gaboardi , Benjamin Grégoire , Justin Hsu , Pierre-Yves Strub

Differential privacy is a recent notion of privacy for statistical databases that provides rigorous, meaningful confidentiality guarantees, even in the presence of an attacker with access to arbitrary side information. We show that for a…

Cryptography and Security · Computer Science 2008-09-30 Adam Smith

Approximate relational Hoare logic (apRHL) is a logic for formal verification of the differential privacy of databases written in the programming language pWHILE. Strictly speaking, however, this logic deals only with discrete random…

Logic in Computer Science · Computer Science 2016-12-20 Tetsuya Sato

Privacy protection and uncertainty quantification are increasingly important in data-driven decision making. Conformal prediction provides finite-sample marginal coverage, but existing private approaches often rely on data splitting,…

Machine Learning · Statistics 2026-03-10 Young Hyun Cho , Jordan Awan

Differential privacy is a leading protection setting, focused by design on individual privacy. Many applications, in medical / pharmaceutical domains or social networks, rather posit privacy at a group level, a setting we call integral…

Machine Learning · Statistics 2019-07-04 Hisham Husain , Zac Cranko , Richard Nock

The cumulative distribution function (CDF) is fundamental for characterizing random variables, making it essential in applications that require privacy-preserving data analysis. This paper introduces a novel framework for constructing…

Cryptography and Security · Computer Science 2026-03-13 Ye Tao , Anand D. Sarwate

Differential privacy has emerged as a promising probabilistic formulation of privacy, generating intense interest within academia and industry. We present a push-button, automated technique for verifying $\varepsilon$-differential privacy…

Programming Languages · Computer Science 2017-11-10 Aws Albarghouthi , Justin Hsu

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

"Concentrated differential privacy" was recently introduced by Dwork and Rothblum as a relaxation of differential privacy, which permits sharper analyses of many privacy-preserving computations. We present an alternative formulation of the…

Cryptography and Security · Computer Science 2016-05-09 Mark Bun , Thomas Steinke

Differential privacy has recently emerged as the de facto standard for private data release. This makes it possible to provide strong theoretical guarantees on the privacy and utility of released data. While it is well-known how to release…

Databases · Computer Science 2012-03-14 Graham Cormode , Magda Procopiuc , Entong Shen , Divesh Srivastava , Ting Yu

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

In this paper, we initiate a principled study of how the generalization properties of approximate differential privacy can be used to perform adaptive hypothesis testing, while giving statistically valid $p$-value corrections. We do this by…

Machine Learning · Computer Science 2016-09-12 Ryan Rogers , Aaron Roth , Adam Smith , Om Thakkar

This paper discusses how two classes of approximate computation algorithms can be adapted, in a modular fashion, to achieve exact statistical inference from differentially private data products. Considered are approximate Bayesian…

Computation · Statistics 2022-09-28 Ruobin Gong
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