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In differential privacy, random noise is introduced to privatize summary statistics of a sensitive dataset before releasing them. The noise level determines the privacy loss, which quantifies how easily an adversary can detect a target…

Statistics Theory · Mathematics 2026-02-24 Youngjoo Yun , Rishabh Dudeja

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

Differential Privacy (DP) has become a gold standard in privacy-preserving data analysis. While it provides one of the most rigorous notions of privacy, there are many settings where its applicability is limited. Our main contribution is in…

Cryptography and Security · Computer Science 2021-10-20 Aman Bansal , Rahul Chunduru , Deepesh Data , Manoj Prabhakaran

For large-scale cyber-physical systems, the collaboration of spatially distributed sensors is often needed to perform the state estimation process. Privacy concerns arise from disclosing sensitive measurements to a cloud estimator. To solve…

Cryptography and Security · Computer Science 2024-09-02 Mohammed M. Dawoud , Changxin Liu , Karl H. Johansson , Amr Alanwar

We consider the minimax estimation problem of a discrete distribution with support size $k$ under privacy constraints. A privatization scheme is applied to each raw sample independently, and we need to estimate the distribution of the raw…

Machine Learning · Computer Science 2017-02-03 Min Ye , Alexander Barg

In this paper, we study the problem of precision matrix estimation when the dataset contains sensitive information. In the differential privacy framework, we develop a differentially private ridge estimator by perturbing the sample…

Machine Learning · Statistics 2019-09-09 Wenqing Su , Xiao Guo , Hai Zhang

This work provides tight upper- and lower-bounds for the problem of mean estimation under $\epsilon$-differential privacy in the local model, when the input is composed of $n$ i.i.d. drawn samples from a normal distribution with variance…

Data Structures and Algorithms · Computer Science 2019-04-12 Marco Gaboardi , Ryan Rogers , Or Sheffet

We propose and analyze a general-purpose dataset-distance-based utility function family, Duff, for differential privacy's exponential mechanism. Given a particular dataset and a statistic (e.g., median, mode), this function family assigns…

Cryptography and Security · Computer Science 2021-01-25 Andrés Muñoz Medina , Jenny Gillenwater

Although the theoretical properties in the $p_0$ model based on a differentially private bi-degree sequence have been derived, it is still lack of a unified theory for a general class of directed network models with the $p_{0}$ model as a…

Statistics Theory · Mathematics 2024-04-22 Lu Pan , Jianwei Hu , Peiyan Li

Sequential querying of differentially private mechanisms degrades the overall privacy level. In this paper, we answer the fundamental question of characterizing the level of overall privacy degradation as a function of the number of queries…

Data Structures and Algorithms · Computer Science 2015-12-08 Peter Kairouz , Sewoong Oh , Pramod Viswanath

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

Privacy issues of recommender systems have become a hot topic for the society as such systems are appearing in every corner of our life. In contrast to the fact that many secure multi-party computation protocols have been proposed to…

Cryptography and Security · Computer Science 2017-03-13 Jun Wang , Qiang Tang

Preserving differential privacy has been well studied under centralized setting. However, it's very challenging to preserve differential privacy under multiparty setting, especially for the vertically partitioned case. In this work, we…

Machine Learning · Computer Science 2019-11-13 Depeng Xu , Shuhan Yuan , Xintao Wu

Differential privacy is a widely adopted framework designed to safeguard the sensitive information of data providers within a data set. It is based on the application of controlled noise at the interface between the server that stores and…

Cryptography and Security · Computer Science 2024-05-06 Rūta Binkytė , Carlos Pinzón , Szilvia Lestyán , Kangsoo Jung , Héber H. Arcolezi , Catuscia Palamidessi

Differential Privacy (DP) is a well-established framework to quantify privacy loss incurred by any algorithm. Traditional DP formulations impose a uniform privacy requirement for all users, which is often inconsistent with real-world…

Cryptography and Security · Computer Science 2023-05-18 Syomantak Chaudhuri , Thomas A. Courtade

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

We consider how to privately share the personalized privacy losses incurred by objective perturbation, using per-instance differential privacy (pDP). Standard differential privacy (DP) gives us a worst-case bound that might be orders of…

Cryptography and Security · Computer Science 2021-11-05 Rachel Redberg , Yu-Xiang Wang

In distributed optimization and iterative consensus literature, a standard problem is for $N$ agents to minimize a function $f$ over a subset of Euclidean space, where the cost function is expressed as a sum $\sum f_i$. In this paper, we…

Cryptography and Security · Computer Science 2014-01-14 Zhenqi Huang , Sayan Mitra , Nitin Vaidya

We construct differentially private estimators with low sample complexity that estimate the median of an arbitrary distribution over $\mathbb{R}$ satisfying very mild moment conditions. Our result stands in contrast to the surprising…

Data Structures and Algorithms · Computer Science 2023-05-24 Maryam Aliakbarpour , Rose Silver , Thomas Steinke , Jonathan Ullman

Differential privacy formalises privacy-preserving mechanisms that provide access to a database. We pose the question of whether Bayesian inference itself can be used directly to provide private access to data, with no modification. The…

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