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This paper establishes the strict optimality in precision for frequency and distribution estimation under local differential privacy (LDP). We prove that a linear estimator with a symmetric and extremal configuration, and a constant support…

Information Theory · Computer Science 2026-03-24 Mingen Pan

We develop a theory of asymptotic efficiency in regular parametric models when data confidentiality is ensured by local differential privacy (LDP). Even though efficient parameter estimation is a classical and well-studied problem in…

Statistics Theory · Mathematics 2024-03-08 Lukas Steinberger

In this work, we propose a new algorithm ProjectiveGeometryResponse (PGR) for locally differentially private (LDP) frequency estimation. For a universe size of $k$ and with $n$ users, our $\varepsilon$-LDP algorithm has communication cost…

Cryptography and Security · Computer Science 2022-03-02 Vitaly Feldman , Jelani Nelson , Huy Lê Nguyen , Kunal Talwar

Local differential privacy (LDP) has received much interest recently. In existing protocols with LDP guarantees, a user encodes and perturbs his data locally before sharing it to the aggregator. In common practice, however, users would…

Cryptography and Security · Computer Science 2020-02-14 Lin Sun , Xiaojun Ye , Jun Zhao , Chenhui Lu , Mengmeng Yang

The notion of Local Differential Privacy (LDP) enables users to answer sensitive questions while preserving their privacy. The basic LDP frequent oracle protocol enables the aggregator to estimate the frequency of any value. But when the…

Cryptography and Security · Computer Science 2017-08-23 Tianhao Wang , Ninghui Li , Somesh Jha

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

Local differential privacy (LDP) enables the efficient release of aggregate statistics without having to trust the central server (aggregator), as in the central model of differential privacy, and simultaneously protects a client's…

Cryptography and Security · Computer Science 2025-04-24 Tariq Bontekoe , Hassan Jameel Asghar , Fatih Turkmen

Local differential privacy (LDP), a technique applying unbiased statistical estimations instead of real data, is often adopted in data collection. In particular, this technique is used with frequency oracles (FO) because it can protect each…

Cryptography and Security · Computer Science 2022-03-29 Dan Zhao , Suyun Zhao , Ruixuan Liu , Cuiping Li , Wenjuan Liang , Hong Chen

Quantiles are key in distributed analytics, but computing them over sensitive data risks privacy. Local differential privacy (LDP) offers strong protection but lower accuracy than central DP, which assumes a trusted aggregator. Secure…

Cryptography and Security · Computer Science 2025-09-18 Hannah Keller , Jacob Imola , Fabrizio Boninsegna , Rasmus Pagh , Amrita Roy Chowdhury

While differentially private synthetic data generation has been explored extensively in the literature, how to update this data in the future if the underlying private data changes is much less understood. We propose an algorithmic…

Cryptography and Security · Computer Science 2024-09-04 Girish Kumar , Thomas Strohmer , Roman Vershynin

Graph data is used in a wide range of applications, while analyzing graph data without protection is prone to privacy breach risks. To mitigate the privacy risks, we resort to the standard technique of differential privacy to publish a…

Cryptography and Security · Computer Science 2023-10-16 Quan Yuan , Zhikun Zhang , Linkang Du , Min Chen , Peng Cheng , Mingyang Sun

The introduction and advancements in Local Differential Privacy (LDP) variants have become a cornerstone in addressing the privacy concerns associated with the vast data produced by smart devices, which forms the foundation for data-driven…

Cryptography and Security · Computer Science 2023-09-13 Likun Qin , Nan Wang , Tianshuo Qiu

Much of the research in differential privacy has focused on offline applications with the assumption that all data is available at once. When these algorithms are applied in practice to streams where data is collected over time, this either…

Databases · Computer Science 2024-02-01 Girish Kumar , Thomas Strohmer , Roman Vershynin

Non-interactive Local Differential Privacy (LDP) requires data analysts to collect data from users through noisy channel at once. In this paper, we extend the frontiers of Non-interactive LDP learning and estimation from several aspects.…

Machine Learning · Computer Science 2017-06-13 Kai Zheng , Wenlong Mou , Liwei Wang

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

Local Differential Privacy (LDP) offers strong privacy protection, especially in settings in which the server collecting the data is untrusted. However, designing LDP mechanisms that achieve an optimal trade-off between privacy, utility and…

Cryptography and Security · Computer Science 2026-03-20 Héber H. Arcolezi , Sébastien Gambs

The proliferation of streaming data analytics in data-driven applications raises critical privacy concerns, as directly collecting user data may compromise personal privacy. Although existing $w$-event local differential privacy (LDP)…

Cryptography and Security · Computer Science 2026-01-01 Chang Liu , Junzhou Zhao

The collection of individuals' data has become commonplace in many industries. Local differential privacy (LDP) offers a rigorous approach to preserving privacy whereby the individual privatises their data locally, allowing only their…

Machine Learning · Computer Science 2022-05-17 Alex Mansbridge , Gregory Barbour , Davide Piras , Michael Murray , Christopher Frye , Ilya Feige , David Barber

LDP (Local Differential Privacy) has been widely studied to estimate statistics of personal data (e.g., distribution underlying the data) while protecting users' privacy. Although LDP does not require a trusted third party, it regards all…

Databases · Computer Science 2019-05-28 Takao Murakami , Yusuke Kawamoto

Private collection of statistics from a large distributed population is an important problem, and has led to large scale deployments from several leading technology companies. The dominant approach requires each user to randomly perturb…

Databases · Computer Science 2021-11-10 Graham Cormode , Samuel Maddock , Carsten Maple
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