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We consider the problem of privately answering queries defined on databases which are collections of points belonging to some metric space. We give simple, computationally efficient algorithms for answering distance queries defined over an…

Data Structures and Algorithms · Computer Science 2012-12-03 Zhiyi Huang , Aaron Roth

We consider accurately answering smooth queries while preserving differential privacy. A query is said to be $K$-smooth if it is specified by a function defined on $[-1,1]^d$ whose partial derivatives up to order $K$ are all bounded. We…

Databases · Computer Science 2014-01-07 Chi Jin , Ziteng Wang , Junliang Huang , Yiqiao Zhong , Liwei Wang

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

Organizations are increasingly interested in allowing external data scientists to explore their sensitive datasets. Due to the popularity of differential privacy, data owners want the data exploration to ensure provable privacy guarantees.…

Databases · Computer Science 2019-05-14 Chang Ge , Xi He , Ihab F. Ilyas , Ashwin Machanavajjhala

A central problem in differentially private data analysis is how to design efficient algorithms capable of answering large numbers of counting queries on a sensitive database. Counting queries of the form "What fraction of individual…

Cryptography and Security · Computer Science 2013-10-02 Jonathan Ullman

Differential privacy is a formal, mathematical definition of data privacy that has gained traction in academia, industry, and government. The task of correctly constructing differentially private algorithms is non-trivial, and mistakes have…

Cryptography and Security · Computer Science 2021-01-05 Subhajit Roy , Justin Hsu , Aws Albarghouthi

Quantum algorithms for solving a wide range of practical problems have been proposed in the last ten years, such as data search and analysis, product recommendation, and credit scoring. The concern about privacy and other ethical issues in…

Quantum Physics · Physics 2023-09-12 Ji Guan , Wang Fang , Mingyu Huang , Mingsheng Ying

The purpose of this paper is to develop a mathematical analysis theory to solve differential privacy problems. The heart of our approaches is to use analytic tools to characterize the correlations among the outputs of different datasets,…

Cryptography and Security · Computer Science 2018-01-30 Genqiang Wu , Xianyao Xia , Yeping He

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 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

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

We present the first differentially private algorithms for reinforcement learning, which apply to the task of evaluating a fixed policy. We establish two approaches for achieving differential privacy, provide a theoretical analysis of the…

Machine Learning · Computer Science 2016-03-08 Borja Balle , Maziar Gomrokchi , Doina Precup

Differential privacy is a framework for privately releasing summaries of a database. Previous work has focused mainly on methods for which the output is a finite dimensional vector, or an element of some discrete set. We develop methods for…

Machine Learning · Statistics 2012-03-13 Rob Hall , Alessandro Rinaldo , Larry Wasserman

The problem of privately releasing data is to provide a version of a dataset without revealing sensitive information about the individuals who contribute to the data. The model of differential privacy allows such private release while…

Databases · Computer Science 2011-03-07 Graham Cormode , Magda Procopiuc , Divesh Srivastava , Thanh T. L. Tran

The need to analyze sensitive data, such as medical records or financial data, has created a critical research challenge in recent years. In this paper, we adopt the framework of differential privacy, and explore mechanisms for generating…

Cryptography and Security · Computer Science 2024-05-09 Nikolija Bojkovic , Po-Ling Loh

Quantiles are often used for summarizing and understanding data. If that data is sensitive, it may be necessary to compute quantiles in a way that is differentially private, providing theoretical guarantees that the result does not reveal…

Machine Learning · Computer Science 2021-09-21 Jennifer Gillenwater , Matthew Joseph , Alex Kulesza

Differential privacy is a strong notion for protecting individual privacy in privacy preserving data analysis or publishing. In this paper, we study the problem of differentially private histogram release for random workloads. We study two…

Databases · Computer Science 2012-02-27 Yonghui Xiao , Li Xiong , Liyue Fan , Slawomir Goryczka

We propose a cheat sensitive quantum protocol to perform a private search on a classical database which is efficient in terms of communication complexity. It allows a user to retrieve an item from the server in possession of the database…

Quantum Physics · Physics 2009-11-13 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone

We study efficient mechanisms for the query release problem in differential privacy: given a workload of $m$ statistical queries, output approximate answers to the queries while satisfying the constraints of differential privacy. In…

Data Structures and Algorithms · Computer Science 2018-11-12 Jaroslaw Blasiok , Mark Bun , Aleksandar Nikolov , Thomas Steinke

Differentially private synthetic data provide a powerful mechanism to enable data analysis while protecting sensitive information about individuals. However, when the data lie in a high-dimensional space, the accuracy of the synthetic data…

Machine Learning · Computer Science 2024-12-12 Yiyun He , Thomas Strohmer , Roman Vershynin , Yizhe Zhu