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Identification of joint dependence among more than two random vectors plays an important role in many statistical applications, where the data may contain sensitive or confidential information. In this paper, we consider the the…

Statistics Theory · Mathematics 2025-04-10 Xingwei Liu , Yuexin Chen , Wangli Xu

The increasing prevalence of high-dimensional data across various applications has raised significant privacy concerns in statistical inference. In this paper, we propose a differentially private integrated statistic for testing…

Methodology · Statistics 2025-06-04 Shiwei Sang , Yicheng Zeng , Xuehu Zhu , Shurong Zheng

We consider the setting where a user with sensitive features wishes to obtain a recommendation from a server in a differentially private fashion. We propose a ``multi-selection'' architecture where the server can send back multiple…

Data Structures and Algorithms · Computer Science 2024-07-23 Ashish Goel , Zhihao Jiang , Aleksandra Korolova , Kamesh Munagala , Sahasrajit Sarmasarkar

The protection of sensitive data becomes more vital, as data increases in value and potency. Furthermore, the pressure increases from regulators and society on model developers to make their Artificial Intelligence (AI) models…

Machine Learning · Computer Science 2026-05-12 Florian van der Steen , Fré Vink , Heysem Kaya

Mobile apps that use location data are pervasive, spanning domains such as transportation, urban planning and healthcare. Important use cases for location data rely on statistical queries, e.g., identifying hotspots where users work and…

Databases · Computer Science 2021-07-30 Sina Shaham , Gabriel Ghinita , Ritesh Ahuja , John Krumm , Cyrus Shahabi

Differentially private federated learning is crucial for maintaining privacy in distributed environments. This paper investigates the challenges of high-dimensional estimation and inference under the constraints of differential privacy.…

Machine Learning · Statistics 2024-04-26 Zhe Zhang , Ryumei Nakada , Linjun Zhang

The Gaussian mechanism (GM) represents a universally employed tool for achieving differential privacy (DP), and a large body of work has been devoted to its analysis. We argue that the three prevailing interpretations of the GM, namely…

Cryptography and Security · Computer Science 2021-09-23 Georgios Kaissis , Moritz Knolle , Friederike Jungmann , Alexander Ziller , Dmitrii Usynin , Daniel Rueckert

In this work, we study high-dimensional mean estimation under user-level differential privacy, and design an $(\varepsilon,\delta)$-differentially private mechanism using as few users as possible. In particular, we provide a nearly optimal…

Data Structures and Algorithms · Computer Science 2022-06-14 Hossein Esfandiari , Vahab Mirrokni , Shyam Narayanan

Local Differential Privacy (LDP) addresses significant privacy concerns in sensitive data collection. In this work, we focus on numerical data collection under LDP, targeting a significant gap in the literature: existing LDP mechanisms are…

Cryptography and Security · Computer Science 2025-10-14 Incheol Baek , Yon Dohn Chung

Differential privacy (DP) allows the quantification of privacy loss when the data of individuals is subjected to algorithmic processing such as machine learning, as well as the provision of objective privacy guarantees. However, while…

Cryptography and Security · Computer Science 2021-11-30 Tamara T. Mueller , Alexander Ziller , Dmitrii Usynin , Moritz Knolle , Friederike Jungmann , Daniel Rueckert , Georgios Kaissis

Mean estimation under differential privacy is a fundamental problem, but worst-case optimal mechanisms do not offer meaningful utility guarantees in practice when the global sensitivity is very large. Instead, various heuristics have been…

Cryptography and Security · Computer Science 2021-11-02 Ziyue Huang , Yuting Liang , Ke Yi

We study the problem of distribution testing when the samples can only be accessed using a locally differentially private mechanism and focus on two representative testing questions of identity (goodness-of-fit) and independence testing for…

Data Structures and Algorithms · Computer Science 2018-08-08 Jayadev Acharya , Clément L. Canonne , Cody Freitag , Himanshu Tyagi

We present d3p, a software package designed to help fielding runtime efficient widely-applicable Bayesian inference under differential privacy guarantees. d3p achieves general applicability to a wide range of probabilistic modelling…

Machine Learning · Computer Science 2022-08-16 Lukas Prediger , Niki Loppi , Samuel Kaski , Antti Honkela

Differential privacy (DP) is a gold-standard concept of measuring and guaranteeing privacy in data analysis. It is well-known that the cost of adding DP to deep learning model is its accuracy. However, it remains unclear how it affects…

Machine Learning · Computer Science 2021-08-26 Nurislam Tursynbek , Aleksandr Petiushko , Ivan Oseledets

Confidence intervals are a fundamental tool for quantifying the uncertainty of parameters of interest. With the increase of data privacy awareness, developing a private version of confidence intervals has gained growing attention from both…

Methodology · Statistics 2024-04-12 Shurong Lin , Mark Bun , Marco Gaboardi , Eric D. Kolaczyk , Adam Smith

Auditing mechanisms for differential privacy use probabilistic means to empirically estimate the privacy level of an algorithm. For private machine learning, existing auditing mechanisms are tight: the empirical privacy estimate (nearly)…

We propose a relaxed privacy definition called {\em random differential privacy} (RDP). Differential privacy requires that adding any new observation to a database will have small effect on the output of the data-release procedure. Random…

Methodology · Statistics 2011-12-13 Rob Hall , Alessandro Rinaldo , Larry Wasserman

The randomized power method has gained significant interest due to its simplicity and efficient handling of large-scale spectral analysis and recommendation tasks. However, its application to large datasets containing personal information…

Machine Learning · Computer Science 2025-06-13 Julien Nicolas , César Sabater , Mohamed Maouche , Sonia Ben Mokhtar , Mark Coates

We consider the setting of publishing data without leaking sensitive information. We do so in the framework of Robust Local Differential Privacy (RLDP). This ensures privacy for all distributions of the data in an uncertainty set. We…

Information Theory · Computer Science 2022-05-11 Jasper Goseling , Milan Lopuhaä-Zwakenberg

Absolute anonymization, conceived as an irreversible transformation that prevents re-identification and sensitive value disclosure, has proven to be a broken promise. Consequently, modern data protection must shift toward a privacy-utility…

Methodology · Statistics 2026-03-16 Raphaël de Fondeville