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We revisit the classical problem of nonparametric density estimation but impose local differential privacy constraints. Under such constraints, the original multivariate data $X_1,\ldots,X_n \in \mathbb{R}^d$ cannot be directly observed,…

统计理论 · 数学 2022-11-15 László Györfi , Martin Kroll

The Differential Privacy (DP) literature often centers on meeting privacy constraints by introducing noise to the query, typically using a pre-specified parametric distribution model with one or two degrees of freedom. However, this…

密码学与安全 · 计算机科学 2024-09-30 Sachin Kadam , Anna Scaglione , Nikhil Ravi , Sean Peisert , Brent Lunghino , Aram Shumavon

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…

密码学与安全 · 计算机科学 2023-05-18 Syomantak Chaudhuri , Thomas A. Courtade

A quantum generalized divergence by definition satisfies the data-processing inequality; as such, the relative decrease in such a divergence under the action of a quantum channel is at most one. This relative decrease is formally known as…

量子物理 · 物理学 2025-11-06 Theshani Nuradha , Mark M. Wilde

The problem of joint sequential detection and isolation is considered in the context of multiple, not necessarily independent, data streams. A multiple testing framework is proposed, where each hypothesis corresponds to a different subset…

统计理论 · 数学 2022-07-04 Anamitra Chaudhuri , Georgios Fellouris

Statistical data depth plays an important role in the analysis of multivariate data sets. The main outcome is a center-outward ordering of the observations that can be used both to highlight features of the underlying distribution of the…

统计理论 · 数学 2026-03-11 Giacomo Francisci , Claudio Agostinelli

Streaming data collection is essential to real-time data analytics in various IoTs and mobile device-based systems, which, however, may expose end users' privacy. Local differential privacy (LDP) is a promising solution to…

数据库 · 计算机科学 2022-04-04 Xuebin Ren , Liang Shi , Weiren Yu , Shusen Yang , Cong Zhao , Zongben Xu

Statistical agencies rely on sampling techniques to collect socio-demographic data crucial for policy-making and resource allocation. This paper shows that surveys of important societal relevance introduce sampling errors that unevenly…

密码学与安全 · 计算机科学 2025-01-22 Joonhyuk Ko , Juba Ziani , Saswat Das , Matt Williams , Ferdinando Fioretto

Formal disclosure avoidance techniques are necessary to ensure that published data can not be used to identify information about individuals. The addition of statistical noise to unpublished data can be implemented to achieve differential…

统计方法学 · 统计学 2024-06-10 Ryan Janicki , Scott H. Holan , Kyle M. Irimata , James Livsey , Andrew Raim

Differentially private (DP) release of multidimensional statistics typically considers an aggregate sensitivity, e.g. the vector norm of a high-dimensional vector. However, different dimensions of that vector might have widely different…

机器学习 · 统计学 2022-10-31 Joonas Jälkö , Lukas Prediger , Antti Honkela , Samuel Kaski

We revisit the problem of releasing the sample mean of bounded samples in a dataset, privately, under user-level $\varepsilon$-differential privacy (DP). We aim to derive the optimal method of preprocessing data samples, within a canonical…

信息论 · 计算机科学 2026-01-12 V. Arvind Rameshwar , Anshoo Tandon

This paper establishes the strict optimality in precision for frequency and distribution estimation under local differential privacy (LDP). We prove that a linear estimator with a symmetric and extremal configuration, and a constant support…

信息论 · 计算机科学 2026-03-24 Mingen Pan

Differential privacy (DP) has emerged as a de facto standard privacy notion for a wide range of applications. Since the meaning of data utility in different applications may vastly differ, a key challenge is to find the optimal…

密码学与安全 · 计算机科学 2020-09-25 Meisam Mohammady , Shangyu Xie , Yuan Hong , Mengyuan Zhang , Lingyu Wang , Makan Pourzandi , Mourad Debbabi

We investigate the structural foundations of statistical efficiency under $\alpha$-local differential privacy, with a focus on maximizing Fisher information. Building on the role of continuous staircase mechanisms, we identify a fundamental…

统计理论 · 数学 2026-03-31 Chiara Amorino , Arnaud Gloter

Privacy-preserving estimation of counts of items in streaming data finds applications in several real-world scenarios including word auto-correction and traffic management applications. Recent works of RAPPOR and Apple's count-mean sketch…

数据结构与算法 · 计算机科学 2022-12-01 Dinusha Vatsalan , Raghav Bhaskar , Mohamed Ali Kaafar

Privacy-preserving distributed processing has recently attracted considerable attention. It aims to design solutions for conducting signal processing tasks over networks in a decentralized fashion without violating privacy. Many algorithms…

密码学与安全 · 计算机科学 2020-09-03 Qiongxiu Li , Jaron Skovsted Gundersen , Richard Heusdens , Mads Græsbøll Christensen

Differential privacy is a formal mathematical {stand-ard} for quantifying the degree of that individual privacy in a statistical database is preserved. To guarantee differential privacy, a typical method is adding random noise to the…

信息论 · 计算机科学 2017-03-08 Jianping He , Lin Cai

We consider the problem of differentially private query release through a synthetic database approach. Departing from the existing approaches that require the query set to be specified in advance, we advocate to devise query-set independent…

密码学与安全 · 计算机科学 2014-12-02 Weina Wang , Lei Ying , Junshan Zhang

Large-scale collection of contextual information is often essential in order to gather statistics, train machine learning models, and extract knowledge from data. The ability to do so in a {\em privacy-preserving} way -- i.e., without…

密码学与安全 · 计算机科学 2016-01-07 Luca Melis , George Danezis , Emiliano De Cristofaro

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…

机器学习 · 计算机科学 2025-09-11 Chunyang Liao , Deanna Needell , Hayden Schaeffer , Alexander Xue