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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

Local Differential Privacy (LDP) has been widely recognized as a powerful tool for providing a strong theoretical guarantee of data privacy to data contributors against an untrusted data collector. Under a typical LDP scheme, each data…

Cryptography and Security · Computer Science 2025-06-17 Ye Zheng , Shafizur Rahman Seeam , Yidan Hu , Rui Zhang , Yanchao Zhang

The private collection of multiple statistics from a population is a fundamental statistical problem. One possible approach to realize this is to rely on the local model of differential privacy (LDP). Numerous LDP protocols have been…

Cryptography and Security · Computer Science 2023-08-02 Héber H. Arcolezi , Sébastien Gambs , Jean-François Couchot , Catuscia Palamidessi

Local differential privacy (LDP) is a recently proposed privacy standard for collecting and analyzing data, which has been used, e.g., in the Chrome browser, iOS and macOS. In LDP, each user perturbs her information locally, and only sends…

Cryptography and Security · Computer Science 2019-07-02 Ning Wang , Xiaokui Xiao , Yin Yang , Jun Zhao , Siu Cheung Hui , Hyejin Shin , Junbum Shin , Ge Yu

We study the fundamental problem of frequency estimation under both privacy and communication constraints, where the data is distributed among $k$ parties. We consider two application scenarios: (1) one-shot, where the data is static and…

Cryptography and Security · Computer Science 2021-06-01 Ziyue Huang , Yuan Qiu , Ke Yi , Graham Cormode

Local differential privacy~(LDP) is an information-theoretic privacy definition suitable for statistical surveys that involve an untrusted data curator. An LDP version of quasi-maximum likelihood estimator~(QMLE) has been developed, but the…

Machine Learning · Statistics 2022-02-16 Hajime Ono , Kazuhiro Minami , Hideitsu Hino

Local differential privacy (LDP) can provide each user with strong privacy guarantees under untrusted data curators while ensuring accurate statistics derived from privatized data. Due to its powerfulness, LDP has been widely adopted to…

Cryptography and Security · Computer Science 2019-06-06 Teng Wang , Jun Zhao , Xinyu Yang , Xuebin Ren

Local Differential Privacy protocols are stochastic protocols used in data aggregation when individual users do not trust the data aggregator with their private data. In such protocols there is a fundamental tradeoff between user privacy…

Cryptography and Security · Computer Science 2020-09-04 Milan Lopuhaä-Zwakenberg , Zitao Li , Boris Škorić , Ninghui Li

Local Differential Privacy (LDP) has become the de facto standard for privacy-preserving data collection in large-scale systems, in particular for the purpose of estimating frequencies. However, the current research landscape lacks a…

Cryptography and Security · Computer Science 2026-05-27 Ramon G. Gonze , Natasha Fernandes , Heber H. Arcolezi , Catuscia Palamidessi , Nataliia Bielova

Collecting and analyzing massive data generated from smart devices have become increasingly pervasive in crowdsensing, which are the building blocks for data-driven decision-making. However, extensive statistics and analysis of such data…

Cryptography and Security · Computer Science 2021-01-29 Teng Wang , Xuefeng Zhang , Jingyu Feng , Xinyu Yang

Local Differential Privacy (LDP) protects user privacy from the data collector. LDP protocols have been increasingly deployed in the industry. A basic building block is frequency oracle (FO) protocols, which estimate frequencies of values.…

Cryptography and Security · Computer Science 2020-01-31 Tianhao Wang , Milan Lopuhaä-Zwakenberg , Zitao Li , Boris Skoric , Ninghui Li

Sketches are widely used for frequency estimation of data with a large domain. However, sketches-based frequency estimation faces more challenges when considering privacy. Local differential privacy (LDP) is a solution to frequency…

Cryptography and Security · Computer Science 2022-11-22 Meifan Zhang , Sixin Lin , Lihua Yin

Local differential privacy (LDP) has recently become a popular privacy-preserving data collection technique protecting users' privacy. The main problem of data stream collection under LDP is the poor utility due to multi-item collection…

Cryptography and Security · Computer Science 2023-06-22 Ying Li , Xiaodong Lee , Botao Peng , Themis Palpanas , Jingan Xue

We study statistical estimation under local differential privacy (LDP) when users may hold heterogeneous privacy levels and accuracy must be guaranteed with high probability. Departing from the common in-expectation analyses, and for…

Machine Learning · Statistics 2025-10-15 Maryam Aliakbarpour , Alireza Fallah , Swaha Roy , Ria Stevens

With local differential privacy (LDP), users can privatize their data and thus guarantee privacy properties before transmitting it to the server (a.k.a. the aggregator). One primary objective of LDP is frequency (or histogram) estimation,…

Cryptography and Security · Computer Science 2021-09-16 Héber H. Arcolezi , Jean-François Couchot , Bechara Al Bouna , Xiaokui Xiao

In the past decade analysis of big data has proven to be extremely valuable in many contexts. Local Differential Privacy (LDP) is a state-of-the-art approach which allows statistical computations while protecting each individual user's…

Cryptography and Security · Computer Science 2019-07-30 Björn Bebensee

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

The problem of estimating a parameter in the drift coefficient is addressed for $N$ discretely observed independent and identically distributed stochastic differential equations (SDEs). This is done considering additional constraints,…

Statistics Theory · Mathematics 2024-10-17 Chiara Amorino , Arnaud Gloter , Hélène Halconruy

When collecting information, local differential privacy (LDP) relieves the concern of privacy leakage from users' perspective, as user's private information is randomized before sent to the aggregator. We study the problem of recovering the…

Cryptography and Security · Computer Science 2019-12-04 Zitao Li , Tianhao Wang , Milan Lopuhaä-Zwakenberg , Boris Skoric , Ninghui Li

Local differential privacy (LDP) is increasingly employed in privacy-preserving machine learning to protect user data before sharing it with an untrusted aggregator. Most LDP methods assume that users possess only a single data record,…

Machine Learning · Computer Science 2025-05-05 Behnoosh Zamanlooy , Mario Diaz , Shahab Asoodeh
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