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This paper studies the distributed least-squares optimization problem with differential privacy requirement of local cost functions, for which two differentially private distributed solvers are proposed. The first is established on the…

Optimization and Control · Mathematics 2024-03-05 Weijia Liu , Lei Wang , Fanghong Guo , Zhengguang Wu , Hongye Su

Frequency estimation plays a critical role in many applications involving personal and private categorical data. Such data are often collected sequentially over time, making it valuable to estimate their distribution online while preserving…

Machine Learning · Computer Science 2025-02-17 Soner Aydin , Sinan Yildirim

Traditional approaches to differential privacy assume a fixed privacy requirement $\epsilon$ for a computation, and attempt to maximize the accuracy of the computation subject to the privacy constraint. As differential privacy is…

Machine Learning · Computer Science 2017-06-01 Katrina Ligett , Seth Neel , Aaron Roth , Bo Waggoner , Z. Steven Wu

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 this work, we give efficient algorithms for privately estimating a Gaussian distribution in both pure and approximate differential privacy (DP) models with optimal dependence on the dimension in the sample complexity. In the pure DP…

Data Structures and Algorithms · Computer Science 2023-06-02 Daniel Alabi , Pravesh K. Kothari , Pranay Tankala , Prayaag Venkat , Fred Zhang

We investigate the local differential privacy (LDP) guarantees of a randomized privacy mechanism via its contraction properties. We first show that LDP constraints can be equivalently cast in terms of the contraction coefficient of the…

Information Theory · Computer Science 2023-02-12 Shahab Asoodeh , Maryam Aliakbarpour , Flavio P. Calmon

Local Differential Privacy (LDP) protocols allow an aggregator to obtain population statistics about sensitive data of a userbase, while protecting the privacy of the individual users. To understand the tradeoff between aggregator utility…

Cryptography and Security · Computer Science 2019-10-18 Milan Lopuhaä-Zwakenberg , Boris Škorić , Ninghui Li

We study the problem of Stochastic Convex Optimization (SCO) under the constraint of local Label Differential Privacy (L-LDP). In this setting, the features are considered public, but the corresponding labels are sensitive and must be…

Data Structures and Algorithms · Computer Science 2026-05-12 Lynn Chua , Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Ziteng Sun , Chiyuan Zhang

In this paper, we introduce an adaptation of the facility location problem and analyze it within the framework of local differential privacy (LDP). Under this model, we ensure the privacy of client presence at specific locations. When n is…

Cryptography and Security · Computer Science 2025-06-19 Kevin Pfisterer , Quentin Hillebrand , Vorapong Suppakitpaisarn

Differential Privacy (DP) is a well-established framework to quantify privacy loss incurred by any algorithm. Traditional formulations impose a uniform privacy requirement for all users, which is often inconsistent with real-world scenarios…

Cryptography and Security · Computer Science 2023-10-23 Syomantak Chaudhuri , Konstantin Miagkov , Thomas A. Courtade

Differential Privacy (DP) has become a gold standard in privacy-preserving data analysis. While it provides one of the most rigorous notions of privacy, there are many settings where its applicability is limited. Our main contribution is in…

Cryptography and Security · Computer Science 2021-10-20 Aman Bansal , Rahul Chunduru , Deepesh Data , Manoj Prabhakaran

The design of protocols for local differential privacy (or LDP) has been a topic of considerable research interest in recent years. LDP protocols utilise the randomised encoding of outcomes of an experiment using a transition probability…

Combinatorics · Mathematics 2026-02-04 Maura B. Paterson , Douglas R. Stinson

We investigate a problem of finding the minimum, in which each user has a real value and we want to estimate the minimum of these values under the local differential privacy constraint. We reveal that this problem is fundamentally…

Statistics Theory · Mathematics 2019-05-28 Kazuto Fukuchi , Chia-Mu Yu , Arashi Haishima , Jun Sakuma

Working under a model of privacy in which data remains private even from the statistician, we study the tradeoff between privacy guarantees and the risk of the resulting statistical estimators. We develop private versions of classical…

Statistics Theory · Mathematics 2017-11-16 John Duchi , Martin Wainwright , Michael Jordan

Conformal prediction (CP) provides sets of candidate classes with a guaranteed probability of containing the true class. However, it typically relies on a calibration set with clean labels. We address privacy-sensitive scenarios where the…

Machine Learning · Computer Science 2025-12-08 Coby Penso , Bar Mahpud , Jacob Goldberger , Or Sheffet

Local Differential Privacy (LDP) protocols enable the collection of randomized client messages for data analysis, without the necessity of a trusted data curator. Such protocols have been successfully deployed in real-world scenarios by…

Cryptography and Security · Computer Science 2024-12-24 Bo Jiang , Wanrong Zhang , Donghang Lu , Jian Du , Qiang Yan

Local differential privacy (LDP) gives a strong privacy guarantee to be used in a distributed setting like federated learning (FL). LDP mechanisms in FL protect a client's gradient by randomizing it on the client; however, how can we…

Cryptography and Security · Computer Science 2022-06-22 Marin Matsumoto , Tsubasa Takahashi , Seng Pei Liew , Masato Oguchi

Local differential privacy (LDP) has been deemed as the de facto measure for privacy-preserving distributed data collection and analysis. Recently, researchers have extended LDP to the basic data type in NoSQL systems: the key-value data,…

Cryptography and Security · Computer Science 2019-07-12 Lin Sun , Jun Zhao , Xiaojun Ye , Shuo Feng , Teng Wang , Tao Bai

Distributed online learning is gaining increased traction due to its unique ability to process large-scale datasets and streaming data. To address the growing public awareness and concern on privacy protection, plenty of algorithms have…

Machine Learning · Computer Science 2024-08-27 Ziqin Chen , Yongqiang Wang

This paper furthers current research into the notion of guaranteed privacy, which provides a deterministic characterization of the privacy of output signals of a dynamical system or mechanism. Unlike stochastic differential privacy,…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Mohammad Khajenejad , Sonia Martinez
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