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Differential privacy is achieved by the introduction of Laplacian noise in the response to a query, establishing a precise trade-off between the level of differential privacy and the accuracy of the database response (via the amount of…

Cryptography and Security · Computer Science 2015-10-06 Maurizio Naldi , Giuseppe D'Acquisto

In this paper, we consider the problem of responding to a count query (or any other integer-valued queries) evaluated on a dataset containing sensitive attributes. To protect the privacy of individuals in the dataset, a standard practice is…

Information Theory · Computer Science 2020-07-21 Parastoo Sadeghi , Shahab Asoodeh , Flavio du Pin Calmon

Differential privacy is a modern approach in privacy-preserving data analysis to control the amount of information that can be inferred about an individual by querying a database. The most common techniques are based on the introduction of…

Cryptography and Security · Computer Science 2012-07-05 Catuscia Palamidessi , Marco Stronati

Formal disclosure avoidance techniques are necessary to ensure that published data can not be used to identify information about individuals. The addition of statistical noise to unpublished data can be implemented to achieve differential…

Methodology · Statistics 2024-06-10 Ryan Janicki , Scott H. Holan , Kyle M. Irimata , James Livsey , Andrew Raim

A key tool for building differentially private systems is adding Gaussian noise to the output of a function evaluated on a sensitive dataset. Unfortunately, using a continuous distribution presents several practical challenges. First and…

Data Structures and Algorithms · Computer Science 2024-11-19 Clément L. Canonne , Gautam Kamath , Thomas Steinke

Differential privacy has become a popular privacy-preserving method in data analysis, query processing, and machine learning, which adds noise to the query result to avoid leaking privacy. Sensitivity, or the maximum impact of deleting or…

Databases · Computer Science 2023-04-20 Meifan Zhang , Xin Liu , Lihua Yin

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…

We introduce derivative sensitivity, an analogue to local sensitivity for continuous functions. We use this notion in an analysis that determines the amount of noise to be added to the result of a database query in order to obtain a certain…

Cryptography and Security · Computer Science 2018-11-16 Peeter Laud , Alisa Pankova , Martin Pettai

We describe a new algorithm for answering a given set of range queries under $\epsilon$-differential privacy which often achieves substantially lower error than competing methods. Our algorithm satisfies differential privacy by adding noise…

Databases · Computer Science 2014-10-02 Chao Li , Michael Hay , Gerome Miklau , Yue Wang

This is a paper about private data analysis, in which a trusted curator holding a confidential database responds to real vector-valued queries. A common approach to ensuring privacy for the database elements is to add appropriately…

Cryptography and Security · Computer Science 2011-12-23 Anindya De

The approximation introduced by finite-precision representation of continuous data can induce arbitrarily large information leaks even when the computation using exact semantics is secure. Such leakage can thus undermine design efforts…

Databases · Computer Science 2013-06-13 Ivan Gazeau , Dale Miller , Catuscia Palamidessi

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

In recent years, Gaussian noise has become a popular tool in differentially private algorithms, often replacing Laplace noise which dominated the early literature. Gaussian noise is the standard approach to $\textit{approximate}$…

Cryptography and Security · Computer Science 2024-11-19 Joel Daniel Andersson , Rasmus Pagh , Teresa Anna Steiner , Sahel Torkamani

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

Adding random noise to database query results is an important tool for achieving privacy. A challenge is to minimize this noise while still meeting privacy requirements. Recently, a sufficient and necessary condition for $(\epsilon,…

Cryptography and Security · Computer Science 2026-01-28 Staal A. Vinterbo

In recent years, differential privacy has been adopted by tech-companies and governmental agencies as the standard for measuring privacy in algorithms. In this article, we study differential privacy in Bayesian posterior sampling settings.…

Statistics Theory · Mathematics 2026-02-13 Shenggang Hu , Louis Aslett , Hongsheng Dai , Murray Pollock , Gareth O. Roberts

In recent years, local differential privacy (LDP) has emerged as a technique of choice for privacy-preserving data collection in several scenarios when the aggregator is not trustworthy. LDP provides client-side privacy by adding noise at…

Machine Learning · Statistics 2021-10-28 Tejas Kulkarni , Joonas Jälkö , Samuel Kaski , Antti Honkela

Differential privacy guarantees allow the results of a statistical analysis involving sensitive data to be released without compromising the privacy of any individual taking part. Achieving such guarantees generally requires the injection…

Machine Learning · Statistics 2023-10-31 Jack Jewson , Sahra Ghalebikesabi , Chris Holmes

Differential privacy (DP) and local differential privacy (LPD) are frameworks to protect sensitive information in data collections. They are both based on obfuscation. In DP the noise is added to the result of queries on the dataset,…

Cryptography and Security · Computer Science 2019-07-01 Natasha Fernandes , Kacem Lefki , Catuscia Palamidessi

Bayesian inference is an important technique throughout statistics. The essence of Beyesian inference is to derive the posterior belief updated from prior belief by the learned information, which is a set of differentially private answers…

Databases · Computer Science 2012-11-12 Yonghui Xiao , Li Xiong
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