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Data engineering often requires accuracy (utility) constraints on results, posing significant challenges in designing differentially private (DP) mechanisms, particularly under stringent privacy parameter $\epsilon$. In this paper, we…

Cryptography and Security · Computer Science 2024-12-17 Bo Jiang , Wanrong Zhang , Donghang Lu , Jian Du , Sagar Sharma , Qiang Yan

Iterative algorithms, like gradient descent, are common tools for solving a variety of problems, such as model fitting. For this reason, there is interest in creating differentially private versions of them. However, their conversion to…

Machine Learning · Computer Science 2018-08-30 Jaewoo Lee , Daniel Kifer

We revisit the problem of linear regression under a differential privacy constraint. By consolidating existing pieces in the literature, we clarify the correct dependence of the feature, label and coefficient domains in the optimization…

Machine Learning · Statistics 2018-07-10 Yu-Xiang Wang

Differential privacy is a mathematical concept that provides an information-theoretic security guarantee. While differential privacy has emerged as a de facto standard for guaranteeing privacy in data sharing, the known mechanisms to…

Cryptography and Security · Computer Science 2024-03-26 March Boedihardjo , Thomas Strohmer , Roman Vershynin

Balancing privacy and accuracy is a major challenge in designing differentially private machine learning algorithms. One way to improve this tradeoff for free is to leverage the noise in common data operations that already use randomness.…

Machine Learning · Computer Science 2021-10-20 Jacob Imola , Kamalika Chaudhuri

This work examines a novel question: how much randomness is needed to achieve local differential privacy (LDP)? A motivating scenario is providing {\em multiple levels of privacy} to multiple analysts, either for distribution or for…

Cryptography and Security · Computer Science 2020-05-26 Antonious M. Girgis , Deepesh Data , Kamalika Chaudhuri , Christina Fragouli , Suhas Diggavi

Although the NLP community has adopted central differential privacy as a go-to framework for privacy-preserving model training or data sharing, the choice and interpretation of the key parameter, privacy budget $\varepsilon$ that governs…

Computation and Language · Computer Science 2024-03-26 Christopher Weiss , Frauke Kreuter , Ivan Habernal

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

In this article, we present a detailed review of current practices and state-of-the-art methodologies in the field of differential privacy (DP), with a focus of advancing DP's deployment in real-world applications. Key points and high-level…

In modern settings of data analysis, we may be running our algorithms on datasets that are sensitive in nature. However, classical machine learning and statistical algorithms were not designed with these risks in mind, and it has been…

Data Structures and Algorithms · Computer Science 2021-08-21 Huanyu Zhang

Differential privacy is effective in sharing information and preserving privacy with a strong guarantee. As social network analysis has been extensively adopted in many applications, it opens a new arena for the application of differential…

Social and Information Networks · Computer Science 2021-04-16 Honglu Jiang , Jian Pei , Dongxiao Yu , Jiguo Yu , Bei Gong , Xiuzhen Cheng

Sparse histogram methods can be useful for returning differentially private counts of items in large or infinite histograms, large group-by queries, and more generally, releasing a set of statistics with sufficient item counts. We consider…

Cryptography and Security · Computer Science 2022-02-03 Brian Karrer , Daniel Kifer , Arjun Wilkins , Danfeng Zhang

We develop lower bounds for estimation under local privacy constraints---including differential privacy and its relaxations to approximate or R\'{e}nyi differential privacy---by showing an equivalence between private estimation and…

Statistics Theory · Mathematics 2019-05-07 John Duchi , Ryan Rogers

Designing privacy-preserving machine learning algorithms has received great attention in recent years, especially in the setting when the data contains sensitive information. Differential privacy (DP) is a widely used mechanism for data…

Machine Learning · Computer Science 2025-09-11 Chunyang Liao , Deanna Needell , Hayden Schaeffer , Alexander Xue

The standard closed form lower bound on $\sigma$ for providing $(\epsilon, \delta)$-differential privacy by adding zero mean Gaussian noise with variance $\sigma^2$ is $\sigma > \Delta\sqrt {2}(\epsilon^{-1}) \sqrt {\log \left(…

Cryptography and Security · Computer Science 2021-01-22 Staal A. Vinterbo

k-Anonymity and {\epsilon}-differential privacy are two mainstream privacy models, the former introduced to anonymize data sets and the latter to limit the knowledge gain that results from including one individual in the data set. Whereas…

Cryptography and Security · Computer Science 2015-12-22 J. Domingo-Ferrer , J. Soria-Comas

In this paper, we initiate a systematic investigation of differentially private algorithms for convex empirical risk minimization. Various instantiations of this problem have been studied before. We provide new algorithms and matching lower…

Machine Learning · Computer Science 2014-10-21 Raef Bassily , Adam Smith , Abhradeep Thakurta

The verification of differential privacy algorithms that employ Gaussian distributions is little understood. This paper tackles the challenge of verifying such programs by introducing a novel approach to approximating probability…

Cryptography and Security · Computer Science 2025-09-11 Bishnu Bhusal , Rohit Chadha , A. Prasad Sistla , Mahesh Viswanathan

We study the fundamental task of estimating the median of an underlying distribution from a finite number of samples, under pure differential privacy constraints. We focus on distributions satisfying the minimal assumption that they have a…

Statistics Theory · Mathematics 2020-11-13 Christos Tzamos , Emmanouil-Vasileios Vlatakis-Gkaragkounis , Ilias Zadik

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