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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

Differential privacy is a robust privacy standard that has been successfully applied to a range of data analysis tasks. Despite much recent work, optimal strategies for answering a collection of correlated queries are not known. We study…

Databases · Computer Science 2010-09-07 Chao Li , Michael Hay , Vibhor Rastogi , Gerome Miklau , Andrew McGregor

In practice, differentially private data releases are designed to support a variety of applications. A data release is fit for use if it meets target accuracy requirements for each application. In this paper, we consider the problem of…

Databases · Computer Science 2021-06-15 Yingtai Xiao , Zeyu Ding , Yuxin Wang , Danfeng Zhang , Daniel Kifer

Recently differential privacy has been used for a number of streaming, data structure, and dynamic graph problems as a means of hiding the internal randomness of the data structure, so that multiple possibly adaptive queries can be made…

Data Structures and Algorithms · Computer Science 2025-06-09 Shiyuan Feng , Ying Feng , George Z. Li , Zhao Song , David P. Woodruff , Lichen Zhang

In this paper, we initiate the systematic study of solving linear programs under differential privacy. The first step is simply to define the problem: to this end, we introduce several natural classes of private linear programs that capture…

Data Structures and Algorithms · Computer Science 2018-03-16 Justin Hsu , Aaron Roth , Tim Roughgarden , Jonathan Ullman

We propose a novel mechanism for answering sets of count- ing queries under differential privacy. Given a workload of counting queries, the mechanism automatically selects a different set of "strategy" queries to answer privately, using…

Databases · Computer Science 2012-02-20 Chao Li , Gerome Miklau

We consider the problem of fitting a linear model to data held by individuals who are concerned about their privacy. Incentivizing most players to truthfully report their data to the analyst constrains our design to mechanisms that provide…

Computer Science and Game Theory · Computer Science 2015-06-12 Rachel Cummings , Stratis Ioannidis , Katrina Ligett

We study the problem of estimating a set of $d$ linear queries with respect to some unknown distribution $\mathbf{p}$ over a domain $\mathcal{J}=[J]$ based on a sensitive data set of $n$ individuals under the constraint of local…

Machine Learning · Computer Science 2018-10-08 Raef Bassily

Black-box machine learning models are used in critical decision-making domains, giving rise to several calls for more algorithmic transparency. The drawback is that model explanations can leak information about the training data and the…

Machine Learning · Computer Science 2020-06-17 Neel Patel , Reza Shokri , Yair Zick

We study the space complexity of the two related fields of differential privacy and adaptive data analysis. Specifically, (1) Under standard cryptographic assumptions, we show that there exists a problem P that requires exponentially more…

Cryptography and Security · Computer Science 2023-02-14 Itai Dinur , Uri Stemmer , David P. Woodruff , Samson Zhou

A wide variety of fundamental data analyses in machine learning, such as linear and logistic regression, require minimizing a convex function defined by the data. Since the data may contain sensitive information about individuals, and these…

Data Structures and Algorithms · Computer Science 2015-03-17 Jonathan Ullman

Differential privacy is a rigorous privacy condition achieved by randomizing query answers. This paper develops efficient algorithms for answering multiple queries under differential privacy with low error. We pursue this goal by advancing…

Databases · Computer Science 2011-03-08 Chao Li , Gerome Miklau

We consider the problem of answering queries about a sensitive dataset subject to differential privacy. The queries may be chosen adversarially from a larger set Q of allowable queries in one of three ways, which we list in order from…

Cryptography and Security · Computer Science 2016-04-18 Mark Bun , Thomas Steinke , Jonathan Ullman

In this work we explore the problem of answering a set of sum queries under Differential Privacy. This is a little understood, non-trivial problem especially in the case of numerical domains. We show that traditional techniques from the…

Databases · Computer Science 2020-10-12 Yikai Wu , David Pujol , Ios Kotsogiannis , Ashwin Machanavajjhala

We introduce an automata model for describing interesting classes of differential privacy mechanisms/algorithms that include known mechanisms from the literature. These automata can model algorithms whose inputs can be an unbounded sequence…

Cryptography and Security · Computer Science 2021-04-30 Rohit Chadha , A. Prasad Sistla , Mahesh Viswanathan

We study Differential Privacy in the abstract setting of Probability on metric spaces. Numerical, categorical and functional data can be handled in a uniform manner in this setting. We demonstrate how mechanisms based on data sanitisation…

Databases · Computer Science 2014-02-26 Naoise Holohan , Douglas Leith , Oliver Mason

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

Differential privacy is becoming a gold standard for privacy research; it offers a guaranteed bound on loss of privacy due to release of query results, even under worst-case assumptions. The theory of differential privacy is an active…

Differential privacy is a mathematical notion of data privacy that has fast become the de facto standard in privacy-preserving data analysis. Recently a lot of work has focused on differential privacy in the quantum setting. Continuing on…

Quantum Physics · Physics 2026-04-14 Arghya Mukherjee , Hassan Jameel Asghar , Gavin K. Brennen

Differential privacy is one of the methods to solve the problem of privacy protection in federated learning. Setting the same privacy budget for each round will result in reduced accuracy in training. The existing methods of the adjustment…

Cryptography and Security · Computer Science 2024-08-20 Zhiqiang Wang , Xinyue Yu , Qianli Huang , Yongguang Gong
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