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Related papers: Locally Optimal Private Sampling: Beyond the Globa…

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In this paper, we study the problem of sampling from a distribution under the constraint of differential privacy (DP). Prior works measure the utility of DP sampling with density ratio-based measures such as KL divergence. However, such…

Machine Learning · Statistics 2026-05-12 Shokichi Takakura , Seng Pei Liew , Satoshi Hasegawa

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

We explore the trade-off between privacy and statistical utility in private two-sample testing under local differential privacy (LDP) for both multinomial and continuous data. We begin by addressing the multinomial case, where we introduce…

Machine Learning · Statistics 2025-12-30 Jongmin Mun , Seungwoo Kwak , Ilmun Kim

Protocols satisfying Local Differential Privacy (LDP) enable parties to collect aggregate information about a population while protecting each user's privacy, without relying on a trusted third party. LDP protocols (such as Google's RAPPOR)…

Cryptography and Security · Computer Science 2017-05-16 Tianhao Wang , Jeremiah Blocki , Ninghui Li , Somesh Jha

Finding anonymization mechanisms to protect personal data is at the heart of recent machine learning research. Here, we consider the consequences of local differential privacy constraints on goodness-of-fit testing, i.e. the statistical…

Statistics Theory · Mathematics 2021-04-16 Joseph Lam-Weil , Béatrice Laurent , Jean-Michel Loubes

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

We study the fundamental task of estimating the median of an underlying distribution from a finite number of samples, under pure differential privacy constraints. We focus on distributions satisfying the minimal assumption that they have a…

Statistics Theory · Mathematics 2020-11-13 Christos Tzamos , Emmanouil-Vasileios Vlatakis-Gkaragkounis , Ilias Zadik

We study the problem of hypothesis selection under the constraint of local differential privacy. Given a class $\mathcal{F}$ of $k$ distributions and a set of i.i.d. samples from an unknown distribution $h$, the goal of hypothesis selection…

Machine Learning · Statistics 2026-03-05 Alireza F. Pour , Hassan Ashtiani , Shahab Asoodeh

We consider the minimax estimation problem of a discrete distribution with support size $k$ under locally differential privacy constraints. A privatization scheme is applied to each raw sample independently, and we need to estimate the…

Statistics Theory · Mathematics 2018-10-18 Min Ye , Alexander Barg

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

Differential privacy (DP) ensures that training a machine learning model does not leak private data. In practice, we may have access to auxiliary public data that is free of privacy concerns. In this work, we assume access to a given amount…

Machine Learning · Computer Science 2024-09-11 Andrew Lowy , Zeman Li , Tianjian Huang , Meisam Razaviyayn

Local differential privacy (LDP) is a strong notion of privacy for individual users that often comes at the expense of a significant drop in utility. The classical definition of LDP assumes that all elements in the data domain are equally…

Machine Learning · Computer Science 2020-07-29 Jayadev Acharya , Keith Bonawitz , Peter Kairouz , Daniel Ramage , Ziteng Sun

We consider the binary classification problem in a setup that preserves the privacy of the original sample. We provide a privacy mechanism that is locally differentially private and then construct a classifier based on the private sample…

Statistics Theory · Mathematics 2019-12-11 Thomas Berrett , Cristina Butucea

It is of soaring demand to develop statistical analysis tools that are robust against contamination as well as preserving individual data owners' privacy. In spite of the fact that both topics host a rich body of literature, to the best of…

Statistics Theory · Mathematics 2022-09-01 Mengchu Li , Thomas B. Berrett , Yi Yu

We initiate the study of distribution testing under \emph{user-level} local differential privacy, where each of $n$ users contributes $m$ samples from the unknown underlying distribution. This setting, albeit very natural, is significantly…

Data Structures and Algorithms · Computer Science 2025-10-22 Clément L. Canonne , Abigail Gentle , Vikrant Singhal

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

We initiate the study of hypothesis selection under local differential privacy. Given samples from an unknown probability distribution $p$ and a set of $k$ probability distributions $\mathcal{Q}$, we aim to output, under the constraints of…

Data Structures and Algorithms · Computer Science 2020-06-23 Sivakanth Gopi , Gautam Kamath , Janardhan Kulkarni , Aleksandar Nikolov , Zhiwei Steven Wu , Huanyu Zhang

Differential privacy (DP) is widely employed to provide privacy protection for individuals by limiting information leakage from the aggregated data. Two well-known models of DP are the central model and the local model. The former requires…

Cryptography and Security · Computer Science 2024-11-05 Yucheng Fu , Tianhao Wang

We consider the setting of publishing data without leaking sensitive information. We do so in the framework of Robust Local Differential Privacy (RLDP). This ensures privacy for all distributions of the data in an uncertainty set. We…

Information Theory · Computer Science 2022-05-11 Jasper Goseling , Milan Lopuhaä-Zwakenberg

In this work, we study local minimax convergence estimation rates subject to $\epsilon$-differential privacy. Unlike worst-case rates, which may be conservative, algorithms that are locally minimax optimal must adapt to easy instances of…

Statistics Theory · Mathematics 2022-10-31 Audra McMillan , Adam Smith , Jon Ullman