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We consider the problem of checking the differential privacy of online randomized algorithms that process a stream of inputs and produce outputs corresponding to each input. This paper generalizes an automaton model called DiP automata (See…

Cryptography and Security · Computer Science 2023-09-14 Rohit Chadha , A. Prasad Sistla , Mahesh Viswanathan , Bishnu Bhusal

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…

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

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 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

Most differentially private mechanisms are designed for the use of a single analyst. In reality, however, there are often multiple stakeholders with different and possibly conflicting priorities that must share the same privacy loss budget.…

Computers and Society · Computer Science 2022-12-21 David Pujol , Albert Sun , Brandon Fain , Ashwin Machanavajjhala

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

Estimating the quantiles of a large dataset is a fundamental problem in both the streaming algorithms literature and the differential privacy literature. However, all existing private mechanisms for distribution-independent quantile…

Data Structures and Algorithms · Computer Science 2022-01-11 Daniel Alabi , Omri Ben-Eliezer , Anamay Chaturvedi

Differential privacy and sublinear algorithms are both rapidly emerging algorithmic themes in times of big data analysis. Although recent works have shown the existence of differentially private sublinear algorithms for many problems…

Data Structures and Algorithms · Computer Science 2025-01-15 Jeremiah Blocki , Hendrik Fichtenberger , Elena Grigorescu , Tamalika Mukherjee

Differential privacy is a de facto standard for statistical computations over databases that contain private data. The strength of differential privacy lies in a rigorous mathematical definition that guarantees individual privacy and yet…

Cryptography and Security · Computer Science 2020-05-05 Gilles Barthe , Rohit Chadha , Vishal Jagannath , A. Prasad Sistla , Mahesh Viswanathan

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 a strong notion for privacy that can be used to prove formal guarantees, in terms of a privacy budget, $\epsilon$, about how much information is leaked by a mechanism. However, implementations of privacy-preserving…

Machine Learning · Computer Science 2019-08-14 Bargav Jayaraman , David Evans

Differential privacy allows bounding the influence that training data records have on a machine learning model. To use differential privacy in machine learning, data scientists must choose privacy parameters $(\epsilon,\delta)$. Choosing…

Cryptography and Security · Computer Science 2021-07-21 Daniel Bernau , Günther Eibl , Philip W. Grassal , Hannah Keller , Florian Kerschbaum

We introduce an $(\epsilon, \delta)$-jointly differentially private algorithm for packing problems. Our algorithm not only achieves the optimal trade-off between the privacy parameter $\epsilon$ and the minimum supply requirement (up to…

Data Structures and Algorithms · Computer Science 2019-05-03 Zhiyi Huang , Xue Zhu

In the differentially private top-$k$ selection problem, we are given a dataset $X \in \{\pm 1\}^{n \times d}$, in which each row belongs to an individual and each column corresponds to some binary attribute, and our goal is to find a set…

Data Structures and Algorithms · Computer Science 2017-02-13 Mitali Bafna , Jonathan Ullman

We present an asymptotically optimal $(\epsilon,\delta)$ differentially private mechanism for answering multiple, adaptively asked, $\Delta$-sensitive queries, settling the conjecture of Steinke and Ullman [2020]. Our algorithm has a…

Data Structures and Algorithms · Computer Science 2021-11-09 Yuval Dagan , Gil Kur

This paper presents a differentially private algorithm for linear regression learning in a decentralized fashion. Under this algorithm, privacy budget is theoretically derived, in addition to that the solution error is shown to be bounded…

Cryptography and Security · Computer Science 2020-04-17 Yang Liu , Xiong Zhang , Shuqi Qin , Xiaoping Lei

We study the problem of differentially private optimization with linear constraints when the right-hand-side of the constraints depends on private data. This type of problem appears in many applications, especially resource allocation.…

Machine Learning · Computer Science 2020-11-05 Andrés Muñoz Medina , Umar Syed , Sergei Vassilvitskii , Ellen Vitercik

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 algorithm to ensure $\epsilon$-differential privacy for answering range queries on trajectory data. In order to guarantee privacy, differential privacy mechanisms add noise to either data or query, thus introducing errors…

Databases · Computer Science 2019-07-19 Soheila Ghane , Lars Kulik , Kotagiri Ramamohanarao
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