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Differential privacy mechanisms such as the Gaussian or Laplace mechanism have been widely used in data analytics for preserving individual privacy. However, they are mostly designed for continuous outputs and are unsuitable for scenarios…

Cryptography and Security · Computer Science 2024-06-06 Zhongteng Cai , Xueru Zhang , Mohammad Mahdi Khalili

We study the problem of solving linear programs of the form $Ax\le b$, $x\ge0$ with differential privacy. For homogeneous LPs $Ax\ge0$, we give an efficient $(\epsilon,\delta)$-differentially private algorithm which with probability at…

Data Structures and Algorithms · Computer Science 2025-07-16 Alina Ene , Huy Le Nguyen , Ta Duy Nguyen , Adrian Vladu

We show a new lower bound on the sample complexity of $(\varepsilon, \delta)$-differentially private algorithms that accurately answer statistical queries on high-dimensional databases. The novelty of our bound is that it depends optimally…

Data Structures and Algorithms · Computer Science 2015-01-27 Thomas Steinke , Jonathan Ullman

A basic problem in the design of privacy-preserving algorithms is the private maximization problem: the goal is to pick an item from a universe that (approximately) maximizes a data-dependent function, all under the constraint of…

Machine Learning · Computer Science 2014-09-09 Kamalika Chaudhuri , Daniel Hsu , Shuang Song

Differential privacy is a restriction on data processing algorithms that provides strong confidentiality guarantees for individual records in the data. However, research on proper statistical inference, that is, research on properly…

Cryptography and Security · Computer Science 2021-07-06 Joerg Drechsler , Ira Globus-Harris , Audra McMillan , Jayshree Sarathy , Adam Smith

A $d$-limited automaton is a Turing machine that may rewrite each input cell at most~$d$ times. Hibbard (1967) showed that for every $d \geq 2$ such automata recognize all context-free languages and that deterministic $d$-limited automata…

Formal Languages and Automata Theory · Computer Science 2025-09-01 Alexander Rubtsov

Differential privacy is a mathematical framework for developing statistical computations with provable guarantees of privacy and accuracy. In contrast to the privacy component of differential privacy, which has a clear mathematical and…

Cryptography and Security · Computer Science 2020-11-13 Gilles Barthe , Rohit Chadha , Paul Krogmeier , A. Prasad Sistla , Mahesh Viswanathan

We study decidability of verification problems for timed automata extended with unbounded discrete data structures. More detailed, we extend timed automata with a pushdown stack. In this way, we obtain a strong model that may for instance…

Logic in Computer Science · Computer Science 2017-01-11 Karin Quaas

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

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

A common goal of privacy research is to release synthetic data that satisfies a formal privacy guarantee and can be used by an analyst in place of the original data. To achieve reasonable accuracy, a synthetic data set must be tuned to…

Databases · Computer Science 2015-03-20 Chao Li , Gerome Miklau

Directed graphical models (DGMs) are a class of probabilistic models that are widely used for predictive analysis in sensitive domains, such as medical diagnostics. In this paper we present an algorithm for differentially private learning…

Machine Learning · Computer Science 2020-07-14 Amrita Roy Chowdhury , Theodoros Rekatsinas , Somesh Jha

Auditing differential privacy has emerged as an important area of research that supports the design of privacy-preserving mechanisms. Privacy audits help to obtain empirical estimates of the privacy parameter, to expose flawed…

Cryptography and Security · Computer Science 2025-09-25 Önder Askin , Tim Kutta , Holger Dette

Concern about how to aggregate sensitive user data without compromising individual privacy is a major barrier to greater availability of data. The model of differential privacy has emerged as an accepted model to release sensitive…

Databases · Computer Science 2017-10-03 Graham Cormode , Tejas Kulkarni , Divesh Srivastava

In the recent decades, the advance of information technology and abundant personal data facilitate the application of algorithmic personalized pricing. However, this leads to the growing concern of potential violation of privacy due to…

Machine Learning · Statistics 2021-09-13 Xi Chen , Sentao Miao , Yining Wang

Statistical model checking is a class of sequential algorithms that can verify specifications of interest on an ensemble of cyber-physical systems (e.g., whether 99% of cars from a batch meet a requirement on their energy efficiency). These…

Machine Learning · Computer Science 2022-06-29 Yu Wang , Hussein Sibai , Mark Yen , Sayan Mitra , Geir E. Dullerud

Distributed model predictive control (DMPC) has attracted extensive attention as it can explicitly handle system constraints and achieve optimal control in a decentralized manner. However, the deployment of DMPC strategies generally…

Systems and Control · Electrical Eng. & Systems 2025-11-21 Kaixiang Zhang , Yongqiang Wang , Ziyou Song , Zhaojian Li

We study the accuracy of differentially private mechanisms in the continual release model. A continual release mechanism receives a sensitive dataset as a stream of $T$ inputs and produces, after receiving each input, an accurate output on…

Data Structures and Algorithms · Computer Science 2022-01-12 Palak Jain , Sofya Raskhodnikova , Satchit Sivakumar , Adam Smith

Differential privacy provides strong privacy guarantees simultaneously enabling useful insights from sensitive datasets. However, it provides the same level of protection for all elements (individuals and attributes) in the data. There are…

Machine Learning · Statistics 2019-08-30 Parameswaran Kamalaruban , Victor Perrier , Hassan Jameel Asghar , Mohamed Ali Kaafar

We study the problem of estimating finite sample confidence intervals of the mean of a normal population under the constraint of differential privacy. We consider both the known and unknown variance cases and construct differentially…

Cryptography and Security · Computer Science 2017-11-13 Vishesh Karwa , Salil Vadhan