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Local differential privacy (LDP) is a model where users send privatized data to an untrusted central server whose goal it to solve some data analysis task. In the non-interactive version of this model the protocol consists of a single round…

Machine Learning · Computer Science 2020-09-24 Yuval Dagan , Vitaly Feldman

User-level privacy is important in distributed systems. Previous research primarily focuses on the central model, while the local models have received much less attention. Under the central model, user-level DP is strictly stronger than the…

Machine Learning · Statistics 2024-05-28 Puning Zhao , Li Shen , Rongfei Fan , Qingming Li , Huiwen Wu , Jiafei Wu , Zhe Liu

Differential privacy (DP) is a widely-accepted and widely-applied notion of privacy based on worst-case analysis. Often, DP classifies most mechanisms without additive noise as non-private (Dwork et al., 2014). Thus, additive noises are…

Cryptography and Security · Computer Science 2023-12-14 Ao Liu , Yu-Xiang Wang , Lirong Xia

We show that an "old dog", the classical discrete Laplace (aka.~geometric) mechanism, can "perform new tricks": 1. It can be post-processed to yield a simple, unbiased estimator of any subexponential function $f$ of the original data,…

Cryptography and Security · Computer Science 2026-05-08 Quentin Hillebrand , Jacob Imola , Rasmus Pagh , Sia Sejer

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 study the problem of locally private mean estimation of high-dimensional vectors in the Euclidean ball. Existing algorithms for this problem either incur sub-optimal error or have high communication and/or run-time complexity. We propose…

Machine Learning · Computer Science 2023-06-28 Hilal Asi , Vitaly Feldman , Jelani Nelson , Huy L. Nguyen , Kunal Talwar

We study the central problem in data privacy: how to share data with an analyst while providing both privacy and utility guarantees to the user that owns the data. In this setting, we present an estimation-theoretic analysis of the…

Information Theory · Computer Science 2020-03-23 Hao Wang , Lisa Vo , Flavio P. Calmon , Muriel Médard , Ken R. Duffy , Mayank Varia

Many commonly used learning algorithms work by iteratively updating an intermediate solution using one or a few data points in each iteration. Analysis of differential privacy for such algorithms often involves ensuring privacy of each step…

Machine Learning · Computer Science 2018-12-12 Vitaly Feldman , Ilya Mironov , Kunal Talwar , Abhradeep Thakurta

The covariance matrix plays a fundamental role in the analysis of high-dimensional data. This paper studies minimax and adaptive estimation of high-dimensional bandable covariance matrices under differential privacy constraints. We propose…

Statistics Theory · Mathematics 2026-03-23 T. Tony Cai , Yicheng Li

We study differentially private (DP) algorithms for smooth stochastic minimax optimization, with stochastic minimization as a byproduct. The holy grail of these settings is to guarantee the optimal trade-off between the privacy and the…

Machine Learning · Computer Science 2022-10-20 Liang Zhang , Kiran Koshy Thekumparampil , Sewoong Oh , Niao He

Differentially Private Stochastic Gradient Descent (DP-SGD) is the dominant paradigm for private training, but its fundamental limitations under worst-case adversarial privacy definitions remain poorly understood. We analyze DP-SGD in the…

Machine Learning · Computer Science 2026-04-17 Murat Bilgehan Ertan , Marten van Dijk

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…

We consider the problem of mean estimation under user-level local differential privacy, where $n$ users are contributing through their local pool of data samples. Previous work assume that the number of data samples is the same across…

Methodology · Statistics 2024-10-15 Corentin Pla , Hugo Richard , Maxime Vono

This work addresses private communication with distributed systems in mind. We consider how to best use secret key resources and communication to transmit signals across a system so that an eavesdropper is least capable to act on the…

Cryptography and Security · Computer Science 2015-03-19 Paul Cuff

Differentially private mean estimation is an important building block in privacy-preserving algorithms for data analysis and machine learning. Though the trade-off between privacy and utility is well understood in the worst case, many…

Cryptography and Security · Computer Science 2024-04-11 Martin Aumüller , Christian Janos Lebeda , Boel Nelson , Rasmus Pagh

Local differential privacy (LDP) has become a central topic in data privacy research, offering strong privacy guarantees by perturbing user data at the source and removing the need for a trusted curator. However, the noise introduced by LDP…

Machine Learning · Computer Science 2026-03-04 Caihong Qin , Yang Bai

In distributed networks, calculating the maximum element is a fundamental task in data analysis, known as the distributed maximum consensus problem. However, the sensitive nature of the data involved makes privacy protection essential.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-17 Wenrui Yu , Richard Heusdens , Jun Pang , Qiongxiu Li

We consider the problem of communication-constrained collaborative personalized mean estimation under a privacy constraint in an environment of several agents continuously receiving data according to arbitrary unknown agent-specific…

Social and Information Networks · Computer Science 2025-11-10 Yauhen Yakimenka , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

We consider the problem of differentially private selection. Given a finite set of candidate items and a quality score for each item, our goal is to design a differentially private mechanism that returns an item with a score that is as high…

Cryptography and Security · Computer Science 2020-10-27 Ryan McKenna , Daniel Sheldon

In this paper, we develop an information-theoretic framework for the optimal privacy-aware estimation of the states of a (linear or nonlinear) system. In our setup, a private process, modeled as a first-order Markov chain, derives the…

Systems and Control · Electrical Eng. & Systems 2023-11-13 Chuanghong Weng , Ehsan Nekouei , Karl H. Johansson
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