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We present new auditors to assess Differential Privacy (DP) of an algorithm based on output samples. Such empirical auditors are common to check for algorithmic correctness and implementation bugs. Most existing auditors are batch-based or…

Cryptography and Security · Computer Science 2026-02-09 Tim Kutta , Martin Dunsche , Yu Wei , Vassilis Zikas

Our research delves into the balance between maintaining privacy and preserving statistical accuracy when dealing with multivariate data that is subject to \textit{componentwise local differential privacy} (CLDP). With CLDP, each component…

Statistics Theory · Mathematics 2025-01-22 Chiara Amorino , Arnaud Gloter

We study continual mean estimation, where data vectors arrive sequentially and the goal is to maintain accurate estimates of the running mean. We address this problem under user-level differential privacy, which protects each user's entire…

Machine Learning · Computer Science 2026-05-12 Nikita P. Kalinin , Ali Najar , Valentin Roth , Christoph H. Lampert

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…

Information Theory · Computer Science 2026-01-12 V. Arvind Rameshwar , Anshoo Tandon

We study person-level differentially private (DP) mean estimation in the case where each person holds multiple samples. DP here requires the usual notion of distributional stability when $\textit{all}$ of a person's datapoints can be…

Data Structures and Algorithms · Computer Science 2024-07-22 Sushant Agarwal , Gautam Kamath , Mahbod Majid , Argyris Mouzakis , Rose Silver , Jonathan Ullman

Differential privacy is an information theoretic constraint on algorithms and code. It provides quantification of privacy leakage and formal privacy guarantees that are currently considered the gold standard in privacy protections. In this…

Cryptography and Security · Computer Science 2020-05-14 Daniel Kifer , Solomon Messing , Aaron Roth , Abhradeep Thakurta , Danfeng Zhang

We initiate the study of distribution testing under \emph{user-level} local differential privacy, where each of $n$ users contributes $m$ samples from the unknown underlying distribution. This setting, albeit very natural, is significantly…

Data Structures and Algorithms · Computer Science 2025-10-22 Clément L. Canonne , Abigail Gentle , Vikrant Singhal

Recent research in differential privacy demonstrated that (sub)sampling can amplify the level of protection. For example, for $\epsilon$-differential privacy and simple random sampling with sampling rate $r$, the actual privacy guarantee is…

Applications · Statistics 2022-02-22 Jingchen Hu , Joerg Drechsler , Hang J. Kim

We explore and compare a variety of definitions for privacy and disclosure limitation in statistical estimation and data analysis, including (approximate) differential privacy, testing-based definitions of privacy, and posterior guarantees…

Statistics Theory · Mathematics 2014-12-16 Rina Foygel Barber , John C. Duchi

We initiate an investigation of private sampling from distributions. Given a dataset with $n$ independent observations from an unknown distribution $P$, a sampling algorithm must output a single observation from a distribution that is close…

Machine Learning · Computer Science 2022-11-16 Sofya Raskhodnikova , Satchit Sivakumar , Adam Smith , Marika Swanberg

It is difficult to continually update private machine learning models with new data while maintaining privacy. Data incur increasing privacy loss -- as measured by differential privacy -- when they are used in repeated computations. In this…

Machine Learning · Computer Science 2022-03-08 Lauren Watson , Abhirup Ghosh , Benedek Rozemberczki , Rik Sarkar

Web search logs contain extremely sensitive data, as evidenced by the recent AOL incident. However, storing and analyzing search logs can be very useful for many purposes (i.e. investigating human behavior). Thus, an important research…

Databases · Computer Science 2015-03-19 Yuan Hong , Jaideep Vaidya , Haibing Lu , Mingrui Wu

We consider the estimation of a density at a fixed point under a local differential privacy constraint, where the observations are anonymised before being available for statistical inference. We propose both a privatised version of a…

Statistics Theory · Mathematics 2022-06-16 Sandra Schluttenhofer , Jan Johannes

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…

Differential privacy is among the most prominent techniques for preserving privacy of sensitive data, oweing to its robust mathematical guarantees and general applicability to a vast array of computations on data, including statistical…

Cryptography and Security · Computer Science 2021-11-25 Naoise Holohan , Stefano Braghin

We present a differentially private mechanism to display statistics (e.g., the moving average) of a stream of real valued observations where the bound on each observation is either too conservative or unknown in advance. This is…

Cryptography and Security · Computer Science 2018-11-09 Victor Perrier , Hassan Jameel Asghar , Dali Kaafar

We show a new lower bound on the sample complexity of $(\varepsilon, \delta)$-differentially private algorithms that accurately answer statistical queries on high-dimensional databases. The novelty of our bound is that it depends optimally…

Data Structures and Algorithms · Computer Science 2015-01-27 Thomas Steinke , Jonathan Ullman

Differential privacy has emerged as a gold standard in privacy-preserving data analysis. A popular variant is local differential privacy, where the data holder is the trusted curator. A major barrier, however, towards a wider adoption of…

Cryptography and Security · Computer Science 2019-06-18 Joseph Geumlek , Kamalika Chaudhuri

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…

Cryptography and Security · Computer Science 2025-01-22 Joonhyuk Ko , Juba Ziani , Saswat Das , Matt Williams , Ferdinando Fioretto

The task of statistical inference, which includes the building of confidence intervals and tests for parameters and effects of interest to a researcher, is still an open area of investigation in a differentially private (DP) setting.…

Methodology · Statistics 2025-07-17 Ogonnaya Michael Romanus , Younes Boulaguiem , Roberto Molinari