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We consider the problems of distribution estimation and heavy hitter (frequency) estimation under privacy and communication constraints. While these constraints have been studied separately, optimal schemes for one are sub-optimal for the…

Information Theory · Computer Science 2019-05-29 Jayadev Acharya , Ziteng Sun

Recent years, local differential privacy (LDP) has been adopted by many web service providers like Google \cite{erlingsson2014rappor}, Apple \cite{apple2017privacy} and Microsoft \cite{bolin2017telemetry} to collect and analyse users' data…

Information Theory · Computer Science 2022-03-15 Zhongzheng Xiong , Jialin Sun , Xiaojun Mao , Jian Wang , Shan Ying , Zengfeng Huang

In the recent years, Local Differential Privacy (LDP) has been one of the corner stone of privacy preserving data analysis. However, many challenges still opposes its widespread application. One of these problems is the scalability of LDP…

Cryptography and Security · Computer Science 2022-06-15 Thomas Carette

In this paper, we revisit the problem of sparse linear regression in the local differential privacy (LDP) model. Existing research in the non-interactive and sequentially local models has focused on obtaining the lower bounds for the case…

Machine Learning · Computer Science 2023-10-12 Liyang Zhu , Meng Ding , Vaneet Aggarwal , Jinhui Xu , Di Wang

Locally Differentially Private (LDP) Reports are commonly used for collection of statistics and machine learning in the federated setting. In many cases the best known LDP algorithms require sending prohibitively large messages from the…

Cryptography and Security · Computer Science 2021-02-25 Vitaly Feldman , Kunal Talwar

Compressing the output of \epsilon-locally differentially private (LDP) randomizers naively leads to suboptimal utility. In this work, we demonstrate the benefits of using schemes that jointly compress and privatize the data using shared…

Cryptography and Security · Computer Science 2022-03-01 Abhin Shah , Wei-Ning Chen , Johannes Balle , Peter Kairouz , Lucas Theis

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

We consider the problem of model selection in a high-dimensional sparse linear regression model under privacy constraints. We propose a differentially private (DP) best subset selection method with strong statistical utility properties by…

Machine Learning · Statistics 2024-10-30 Saptarshi Roy , Zehua Wang , Ambuj Tewari

We consider a private discrete distribution estimation problem with one-bit communication constraint. The privacy constraints are imposed with respect to the local differential privacy and the maximal leakage. The estimation error is…

Information Theory · Computer Science 2023-10-18 Seung-Hyun Nam , Vincent Y. F. Tan , Si-Hyeon Lee

We study discrete distribution estimation under user-level local differential privacy (LDP). In user-level $\varepsilon$-LDP, each user has $m\ge1$ samples and the privacy of all $m$ samples must be preserved simultaneously. We resolve the…

Machine Learning · Computer Science 2022-11-08 Jayadev Acharya , Yuhan Liu , Ziteng Sun

We study the problem of estimating $k$-ary distributions under $\varepsilon$-local differential privacy. $n$ samples are distributed across users who send privatized versions of their sample to a central server. All previously known sample…

Machine Learning · Computer Science 2018-06-29 Jayadev Acharya , Ziteng Sun , Huanyu Zhang

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

Privacy concerns with sensitive data are receiving increasing attention. In this paper, we study local differential privacy (LDP) in interactive decentralized optimization. By constructing random local aggregators, we propose a framework to…

Optimization and Control · Mathematics 2019-06-04 Hanshen Xiao , Yu Ye , Srinivas Devadas

We study simple binary hypothesis testing under both local differential privacy (LDP) and communication constraints. We qualify our results as either minimax optimal or instance optimal: the former hold for the set of distribution pairs…

Statistics Theory · Mathematics 2023-12-19 Ankit Pensia , Amir R. Asadi , Varun Jog , Po-Ling Loh

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

Given a dataset of $n$ i.i.d. samples from an unknown distribution $P$, we consider the problem of generating a sample from a distribution that is close to $P$ in total variation distance, under the constraint of differential privacy (DP).…

Data Structures and Algorithms · Computer Science 2023-06-23 Badih Ghazi , Xiao Hu , Ravi Kumar , Pasin Manurangsi

Molecular communication (MC) enables information exchange in nanoscale sensor networks operating in biological environments, yet privacy remains largely unaddressed. We integrate local differential privacy (LDP) into diffusion-based MC by…

Information Theory · Computer Science 2026-03-03 Melih Şahin , Ozgur B. Akan

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 study the problem of discrete distribution estimation under utility-optimized local differential privacy (ULDP), which enforces local differential privacy (LDP) on sensitive data while allowing more accurate inference on non-sensitive…

Cryptography and Security · Computer Science 2025-09-30 Sun-Moon Yoon , Hyun-Young Park , Seung-Hyun Nam , Si-Hyeon Lee

The collection and analysis of user data drives improvements in the app and web ecosystems, but comes with risks to privacy. This paper examines discrete distribution estimation under local privacy, a setting wherein service providers can…

Machine Learning · Statistics 2016-06-16 Peter Kairouz , Keith Bonawitz , Daniel Ramage
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