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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

We investigate a problem of finding the minimum, in which each user has a real value and we want to estimate the minimum of these values under the local differential privacy constraint. We reveal that this problem is fundamentally…

Statistics Theory · Mathematics 2019-05-28 Kazuto Fukuchi , Chia-Mu Yu , Arashi Haishima , Jun Sakuma

Differential privacy has gained popularity in machine learning as a strong privacy guarantee, in contrast to privacy mitigation techniques such as k-anonymity. However, applying differential privacy to n-gram counts significantly degrades…

Cryptography and Security · Computer Science 2021-02-01 Osman Ramadan , James Withers , Douglas Orr

We study the relationship between two desiderata of algorithms in statistical inference and machine learning: differential privacy and robustness to adversarial data corruptions. Their conceptual similarity was first observed by Dwork and…

Machine Learning · Computer Science 2023-02-06 Hilal Asi , Jonathan Ullman , Lydia Zakynthinou

We consider the problem of differentially private query release through a synthetic database approach. Departing from the existing approaches that require the query set to be specified in advance, we advocate to devise query-set independent…

Cryptography and Security · Computer Science 2014-12-02 Weina Wang , Lei Ying , Junshan Zhang

Linear programming is a fundamental tool in a wide range of decision systems. However, without privacy protections, sharing the solution to a linear program may reveal information about the underlying data used to formulate it, which may be…

Optimization and Control · Mathematics 2025-11-11 Alexander Benvenuti , Brendan Bialy , Miriam Dennis , Matthew Hale

We consider a platform's problem of collecting data from privacy sensitive users to estimate an underlying parameter of interest. We formulate this question as a Bayesian-optimal mechanism design problem, in which an individual can share…

Computer Science and Game Theory · Computer Science 2023-09-07 Alireza Fallah , Ali Makhdoumi , Azarakhsh Malekian , Asuman Ozdaglar

In this paper, we introduce a new notion of guaranteed privacy that requires that the change of the range of the corresponding inclusion function to the true function is small. In particular, leveraging mixed-monotone inclusion functions,…

Optimization and Control · Mathematics 2022-09-26 Mohammad Khajenejad , Sonia Martinez

We study mechanisms for differential privacy on finite datasets. By deriving \emph{sufficient sets} for differential privacy we obtain necessary and sufficient conditions for differential privacy, a tight lower bound on the maximal expected…

Discrete Mathematics · Computer Science 2015-05-28 Naoise Holohan , Doug Leith , Oliver Mason

The rise of connected personal devices together with privacy concerns call for machine learning algorithms capable of leveraging the data of a large number of agents to learn personalized models under strong privacy requirements. In this…

Machine Learning · Computer Science 2018-02-20 Aurélien Bellet , Rachid Guerraoui , Mahsa Taziki , Marc Tommasi

Differential privacy has become a widely accepted notion of privacy, leading to the introduction and deployment of numerous privatization mechanisms. However, ensuring the privacy guarantee is an error-prone process, both in designing…

Information Theory · Computer Science 2019-05-27 Xiyang Liu , Sewoong Oh

Differential privacy is a popular privacy model within the research community because of the strong privacy guarantee it offers, namely that the presence or absence of any individual in a data set does not significantly influence the…

Cryptography and Security · Computer Science 2017-02-09 Jordi Soria-Comas , Josep Domingo-Ferrer , David Sánchez , David Megías

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

Differential privacy has become the dominant standard in the research community for strong privacy protection. There has been a flood of research into query answering algorithms that meet this standard. Algorithms are becoming increasingly…

Databases · Computer Science 2015-12-16 Michael Hay , Ashwin Machanavajjhala , Gerome Miklau , Yan Chen , Dan Zhang

Differentially Private algorithms often need to select the best amongst many candidate options. Classical works on this selection problem require that the candidates' goodness, measured as a real-valued score function, does not change by…

Data Structures and Algorithms · Computer Science 2018-11-21 Jingcheng Liu , Kunal Talwar

Local differential privacy has recently surfaced as a strong measure of privacy in contexts where personal information remains private even from data analysts. Working in a setting where both the data providers and data analysts want to…

Information Theory · Computer Science 2015-11-20 Peter Kairouz , Sewoong Oh , Pramod Viswanath

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

We introduce a new method for releasing answers to statistical queries with differential privacy, based on the Johnson-Lindenstrauss lemma. The key idea is to randomly project the query answers to a lower dimensional space so that the…

Data Structures and Algorithms · Computer Science 2022-08-17 Aleksandar Nikolov

This paper provides an overview of a problem in information-theoretic privacy mechanism design, addressing two scenarios in which private data is either observable or hidden. In each scenario, different privacy measures are used, including…

Information Theory · Computer Science 2024-10-08 Amirreza Zamani , Mikael Skoglund

A new line of work [Dwork et al. STOC 2015], [Hardt and Ullman FOCS 2014], [Steinke and Ullman COLT 2015], [Bassily et al. STOC 2016] demonstrates how differential privacy [Dwork et al. TCC 2006] can be used as a mathematical tool for…

Machine Learning · Computer Science 2017-03-07 Kobbi Nissim , Uri Stemmer
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