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Ensuring the usefulness of electronic data sources while providing necessary privacy guarantees is an important unsolved problem. This problem drives the need for an analytical framework that can quantify the safety of personally…

Information Theory · Computer Science 2016-11-18 Lalitha Sankar , S. Raj Rajagopalan , H. Vincent Poor

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 investigate the problem of differentially private distributed optimization. Recognizing that lower sensitivity leads to higher accuracy, we analyze the key factors influencing the sensitivity of differentially private…

Optimization and Control · Mathematics 2026-01-05 Furan Xie , Bing Liu , Li Chai

A privacy mechanism design problem is studied through the lens of information theory. In this work, an agent observes useful data $Y=(Y_1,...,Y_N)$ that is correlated with private data $X=(X_1,...,X_N)$ which is assumed to be also…

Information Theory · Computer Science 2022-11-29 Amirreza Zamani , Tobias J. Oechtering , Mikael Skoglund

We design a class of additive noise mechanisms that satisfy \((\varepsilon, \delta)\)-differential privacy (DP) for scalar, real-valued query functions with known sensitivities, with a particular focus on moderate and low-privacy regimes.…

Cryptography and Security · Computer Science 2026-05-28 Huikang Liu , Aras Selvi , Wolfram Wiesemann

Differential privacy (DP) is the prevailing technique for protecting user data in machine learning models. However, deficits to this framework include a lack of clarity for selecting the privacy budget $\epsilon$ and a lack of…

Machine Learning · Computer Science 2023-06-29 Tyler LeBlond , Joseph Munoz , Fred Lu , Maya Fuchs , Elliott Zaresky-Williams , Edward Raff , Brian Testa

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

Privacy-preserving data analysis is a rising challenge in contemporary statistics, as the privacy guarantees of statistical methods are often achieved at the expense of accuracy. In this paper, we investigate the tradeoff between…

Machine Learning · Statistics 2020-11-11 T. Tony Cai , Yichen Wang , Linjun Zhang

Distributed online learning is gaining increased traction due to its unique ability to process large-scale datasets and streaming data. To address the growing public awareness and concern on privacy protection, plenty of algorithms have…

Machine Learning · Computer Science 2024-08-27 Ziqin Chen , Yongqiang Wang

This paper develops a novel differentially private framework to solve convex optimization problems with sensitive optimization data and complex physical or operational constraints. Unlike standard noise-additive algorithms, that act…

Cryptography and Security · Computer Science 2020-06-23 Vladimir Dvorkin , Ferdinando Fioretto , Pascal Van Hentenryck , Jalal Kazempour , Pierre Pinson

We generalize a previous framework for designing utility-optimal differentially private (DP) mechanisms via graphs, where datasets are vertices in the graph and edges represent dataset neighborhood. The boundary set contains datasets where…

Data Structures and Algorithms · Computer Science 2022-03-30 Sahel Torkamani , Javad B. Ebrahimi , Parastoo Sadeghi , Rafael G. L. D'Oliveira , Muriel Medard

Federated learning (FL) enables participating parties to collaboratively build a global model with boosted utility without disclosing private data information. Appropriate protection mechanisms have to be adopted to fulfill the requirements…

Machine Learning · Computer Science 2024-03-08 Xiaojin Zhang , Kai Chen , Qiang Yang

Differential Privacy (DP) has emerged as a rigorous formalism to reason about quantifiable privacy leakage. In machine learning (ML), DP has been employed to limit inference/disclosure of training examples. Prior work leveraged DP across…

Cryptography and Security · Computer Science 2021-12-28 Ismat Jarin , Birhanu Eshete

We consider the problem of ensuring confidentiality of dataset properties aggregated over many records of a dataset. Such properties can encode sensitive information, such as trade secrets or demographic data, while involving a notion of…

Cryptography and Security · Computer Science 2023-04-11 Michelle Chen , Olga Ohrimenko

The smart meter (SM) privacy problem is addressed together with the cost of energy for the user. It is assumed that a storage device, e.g., an electrical battery, is available to the user, which can be utilized both to achieve privacy and…

Information Theory · Computer Science 2017-08-11 Giulio Giaconi , Deniz Gunduz , H. Vincent Poor

The exponential growth of data collection necessitates robust privacy protections that preserve data utility. We address information disclosure against adversaries with bounded prior knowledge, modeled by an entropy constraint $H(X) \geq…

Cryptography and Security · Computer Science 2026-03-27 Genqiang Wu , Xiaoying Zhang , Yu Qi , Hao Wang , Jikui Wang , Yeping He

Differential privacy (DP) has become a rigorous central concept for privacy protection in the past decade. We use Gaussian differential privacy (GDP) in gauging the level of privacy protection for releasing statistical summaries from data.…

Methodology · Statistics 2025-04-01 Minwoo Kim , Jonghyeok Lee , Seung Woo Kwak , Sungkyu Jung

In differentially private (DP) machine learning, the privacy guarantees of DP mechanisms are often reported and compared on the basis of a single $(\varepsilon, \delta)$-pair. This practice overlooks that DP guarantees can vary…

Cryptography and Security · Computer Science 2025-05-06 Georgios Kaissis , Stefan Kolek , Borja Balle , Jamie Hayes , Daniel Rueckert

We use decision theory to compare variants of differential privacy from the perspective of prospective study participants. We posit the existence of a preference ordering on the set of potential consequences that study participants can…

Cryptography and Security · Computer Science 2023-10-11 Nitin Kohli , Michael Carl Tschantz

We present \textit{universal} estimators for the statistical mean, variance, and scale (in particular, the interquartile range) under pure differential privacy. These estimators are universal in the sense that they work on an arbitrary,…

Cryptography and Security · Computer Science 2023-04-04 Wei Dong , Ke Yi