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We consider how to privately share the personalized privacy losses incurred by objective perturbation, using per-instance differential privacy (pDP). Standard differential privacy (DP) gives us a worst-case bound that might be orders of…

Cryptography and Security · Computer Science 2021-11-05 Rachel Redberg , Yu-Xiang Wang

Differential privacy has emerged as a gold standard in privacy-preserving data analysis. A popular variant is local differential privacy, where the data holder is the trusted curator. A major barrier, however, towards a wider adoption of…

Cryptography and Security · Computer Science 2019-06-18 Joseph Geumlek , Kamalika Chaudhuri

We investigate the problem of estimating a random variable $Y\in \mathcal{Y}$ under a privacy constraint dictated by another random variable $X\in \mathcal{X}$, where estimation efficiency and privacy are assessed in terms of two different…

Information Theory · Computer Science 2018-08-14 Shahab Asoodeh , Mario Diaz , Fady Alajaji , Tamas Linder

Differentially private (DP) mechanisms are difficult to interpret and calibrate because existing methods for mapping standard privacy parameters to concrete privacy risks -- re-identification, attribute inference, and data reconstruction --…

We consider the problem of mean estimation under user-level local differential privacy, where $n$ users are contributing through their local pool of data samples. Previous work assume that the number of data samples is the same across…

Methodology · Statistics 2024-10-15 Corentin Pla , Hugo Richard , Maxime Vono

A key task in managing distributed, sensitive data is to measure the extent to which a distribution changes. Understanding this drift can effectively support a variety of federated learning and analytics tasks. However, in many practical…

Machine Learning · Computer Science 2024-12-02 Mary Scott , Sayan Biswas , Graham Cormode , Carsten Maple

In this brief, we present an enhanced privacy-preserving distributed estimation algorithm, referred to as the ``Double-Private Algorithm," which combines the principles of both differential privacy (DP) and cryptography. The proposed…

Signal Processing · Electrical Eng. & Systems 2024-03-19 Mehdi Korki , Fatemehsadat Hosseiniamin , Hadi Zayyani , Mehdi Bekrani

We find separation rates for testing multinomial or more general discrete distributions under the constraint of local differential privacy. We construct efficient randomized algorithms and test procedures, in both the case where only…

Statistics Theory · Mathematics 2020-05-27 Thomas B. Berrett , Cristina Butucea

We develop data processing inequalities that describe how Fisher information from statistical samples can scale with the privacy parameter $\varepsilon$ under local differential privacy constraints. These bounds are valid under general…

Information Theory · Computer Science 2020-05-22 Leighton Pate Barnes , Wei-Ning Chen , Ayfer Ozgur

Differential privacy is a cryptographically-motivated approach to privacy that has become a very active field of research over the last decade in theoretical computer science and machine learning. In this paradigm one assumes there is a…

Machine Learning · Computer Science 2023-08-02 Marco Avella-Medina

We address the problem of goodness-of-fit testing for H\"older continuous densities under local differential privacy constraints. We study minimax separation rates when only non-interactive privacy mechanisms are allowed to be used and when…

Statistics Theory · Mathematics 2021-07-07 Amandine Dubois , Thomas Berrett , Cristina Butucea

Kaplan-Meier estimators are essential tools in survival analysis, capturing the survival behavior of a cohort. Their accuracy improves with large, diverse datasets, encouraging data holders to collaborate for more precise estimations.…

Cryptography and Security · Computer Science 2024-07-30 Shadi Rahimian , Raouf Kerkouche , Ina Kurth , Mario Fritz

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

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

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

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 2017-08-02 Min Ye , Alexander Barg

In statistical disclosure control, the goal of data analysis is twofold: The released information must provide accurate and useful statistics about the underlying population of interest, while minimizing the potential for an individual…

Methodology · Statistics 2016-07-15 Jing Lei , Anne-Sophie Charest , Aleksandra Slavkovic , Adam Smith , Stephen Fienberg

In this paper we study the problem of estimating the unknown mean $\theta$ of a unit variance Gaussian distribution in a locally differentially private (LDP) way. In the high-privacy regime ($\epsilon\le 1$), we identify an optimal privacy…

Statistics Theory · Mathematics 2025-03-06 Nikita P. Kalinin , Lukas Steinberger

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

One-shot federated learning enables multi-site inference with minimal communication. However, sharing summary statistics can still leak sensitive individual-level information when sites have only a small number of patients. In particular,…

Methodology · Statistics 2026-04-02 Keisuke Hanada , Toshio Shimokawa , Kazushi Maruo
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