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We consider a platform's problem of collecting data from privacy sensitive users to estimate an underlying parameter of interest. We formulate this question as a Bayesian-optimal mechanism design problem, in which an individual can share…

Computer Science and Game Theory · Computer Science 2023-09-07 Alireza Fallah , Ali Makhdoumi , Azarakhsh Malekian , Asuman Ozdaglar

Differential privacy guarantees allow the results of a statistical analysis involving sensitive data to be released without compromising the privacy of any individual taking part. Achieving such guarantees generally requires the injection…

Machine Learning · Statistics 2023-10-31 Jack Jewson , Sahra Ghalebikesabi , Chris Holmes

We consider the task of constructing confidence intervals with differential privacy. We propose two private variants of the non-parametric bootstrap, which privately compute the median of the results of multiple "little" bootstraps run on…

Machine Learning · Statistics 2024-06-05 Karan Chadha , John Duchi , Rohith Kuditipudi

In this paper, we study differentially private (DP) algorithms for computing the geometric median (GM) of a dataset: Given $n$ points, $x_1,\dots,x_n$ in $\mathbb{R}^d$, the goal is to find a point $\theta$ that minimizes the sum of the…

Machine Learning · Computer Science 2024-06-12 Mahdi Haghifam , Thomas Steinke , Jonathan Ullman

We propose and analyze algorithms to solve a range of learning tasks under user-level differential privacy constraints. Rather than guaranteeing only the privacy of individual samples, user-level DP protects a user's entire contribution ($m…

Machine Learning · Computer Science 2021-12-06 Daniel Levy , Ziteng Sun , Kareem Amin , Satyen Kale , Alex Kulesza , Mehryar Mohri , Ananda Theertha Suresh

Differential Privacy (DP) provides a rigorous framework for releasing statistics while protecting individual information present in a dataset. Although substantial progress has been made on differentially private linear regression, existing…

Statistics Theory · Mathematics 2026-01-16 Getoar Sopa , Marco Avella Medina , Cynthia Rush

Differential privacy is widely adopted to provide provable privacy guarantees in data analysis. We consider the problem of combining public and private data (and, more generally, data with heterogeneous privacy needs) for estimating…

Machine Learning · Computer Science 2021-11-02 Cecilia Ferrando , Jennifer Gillenwater , Alex Kulesza

Many machine learning applications are based on data collected from people, such as their tastes and behaviour as well as biological traits and genetic data. Regardless of how important the application might be, one has to make sure…

Machine Learning · Statistics 2017-04-11 Joonas Jälkö , Onur Dikmen , Antti Honkela

Differential privacy is becoming a gold standard for privacy research; it offers a guaranteed bound on loss of privacy due to release of query results, even under worst-case assumptions. The theory of differential privacy is an active…

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

In this paper, we study the problem of publishing a stream of real-valued data satisfying differential privacy (DP). One major challenge is that the maximal possible value can be quite large; thus it is necessary to estimate a threshold so…

Cryptography and Security · Computer Science 2023-12-11 Tianhao Wang , Joann Qiongna Chen , Zhikun Zhang , Dong Su , Yueqiang Cheng , Zhou Li , Ninghui Li , Somesh Jha

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

Many privacy mechanisms reveal high-level information about a data distribution through noisy measurements. It is common to use this information to estimate the answers to new queries. In this work, we provide an approach to solve this…

Machine Learning · Computer Science 2019-01-29 Ryan McKenna , Daniel Sheldon , Gerome Miklau

We propose a general privacy-preserving optimization-based framework for real-time environments without requiring trusted data curators. In particular, we introduce a noisy stochastic gradient descent algorithm for online statistical…

Methodology · Statistics 2025-06-11 Jinhan Xie , Enze Shi , Bei Jiang , Linglong Kong , Xuming He

We consider the problem of collaborative personalized mean estimation under a privacy constraint in an environment of several agents continuously receiving data according to arbitrary unknown agent-specific distributions. In particular, we…

Machine Learning · Computer Science 2024-12-02 Yauhen Yakimenka , Chung-Wei Weng , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

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

This paper focuses on the privacy-preserving distributed estimation problem with a limited data rate, where the observations are the sensitive information. Specifically, a binary-valued quantizer-based privacy-preserving distributed…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Jieming Ke , Jimin Wang , Ji-Feng Zhang

We propose a general optimization-based framework for computing differentially private M-estimators and a new method for constructing differentially private confidence regions. Firstly, we show that robust statistics can be used in…

Statistics Theory · Mathematics 2023-12-14 Marco Avella-Medina , Casey Bradshaw , Po-Ling Loh

In general, it is challenging to release differentially private versions of survey-weighted statistics with low error for acceptable privacy loss. This is because weighted statistics from complex sample survey data can be more sensitive to…

Cryptography and Security · Computer Science 2024-11-08 Jeremy Seeman , Yajuan Si , Jerome P Reiter

Confidence intervals for the population mean of normally distributed data are some of the most standard statistical outputs one might want from a database. In this work we give practical differentially private algorithms for this task. We…

Methodology · Statistics 2020-01-09 Wenxin Du , Canyon Foot , Monica Moniot , Andrew Bray , Adam Groce