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The Horvitz-Thompson estimate of a total can be seen as as differentially private mechanism applied to this population total. We provide forumlae to compute the $\epsilon$ and $\delta$ parameter for this specific mecanism, coupled or not…

Statistics Theory · Mathematics 2025-06-18 Daniel Bernard Bonnéry , Julien Jamme

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

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 study the problem of differentially private query release assisted by access to public data. In this problem, the goal is to answer a large class $\mathcal{H}$ of statistical queries with error no more than $\alpha$ using a combination…

Machine Learning · Computer Science 2020-04-24 Raef Bassily , Albert Cheu , Shay Moran , Aleksandar Nikolov , Jonathan Ullman , Zhiwei Steven Wu

New regulations and increased awareness of data privacy have led to the deployment of new and more efficient differentially private mechanisms across public institutions and industries. Ensuring the correctness of these mechanisms is…

Cryptography and Security · Computer Science 2023-12-20 William Kong , Andrés Muñoz Medina , Mónica Ribero , Umar Syed

Mean estimation is a fundamental task in statistics and a focus within differentially private statistical estimation. While univariate methods based on the Gaussian mechanism are widely used in practice, more advanced techniques such as the…

Machine Learning · Computer Science 2025-02-27 Gavin Brown , Lydia Zakynthinou

Estimating spatial distributions is important in data analysis, such as traffic flow forecasting and epidemic prevention. To achieve accurate spatial distribution estimation, the analysis needs to collect sufficient user data. However,…

Databases · Computer Science 2024-12-12 Leilei Du , Peng Cheng , Libin Zheng , Xiang Lian , Lei Chen , Wei Xi , Wangze Ni

Bayesian methods lie at the heart of modern data science and provide a powerful scaffolding for estimation in data-constrained settings and principled quantification and propagation of uncertainty. Yet in many real-world use cases where…

Data Structures and Algorithms · Computer Science 2026-03-20 Sitan Chen , Jingqiu Ding , Mahbod Majid , Walter McKelvie

This paper proposes new methodologies for conducting practical differentially private (DP) estimation and inference in high-dimensional linear regression. We first introduce a DP Bayesian Information Criterion (DP-BIC) for selecting the…

Methodology · Statistics 2026-04-13 Zhanrui Cai , Sai Li , Xintao Xia , Linjun Zhang

The first large-scale deployment of private federated learning uses differentially private counting in the continual release model as a subroutine (Google AI blog titled "Federated Learning with Formal Differential Privacy Guarantees"). In…

Machine Learning · Computer Science 2024-02-06 Monika Henzinger , Jalaj Upadhyay , Sarvagya Upadhyay

Although robust learning and local differential privacy are both widely studied fields of research, combining the two settings is just starting to be explored. We consider the problem of estimating a discrete distribution in total variation…

Statistics Theory · Mathematics 2022-04-21 Julien Chhor , Flore Sentenac

In many applications, the labeled data at the learner's disposal is subject to privacy constraints and is relatively limited. To derive a more accurate predictor for the target domain, it is often beneficial to leverage publicly available…

Machine Learning · Computer Science 2024-02-06 Raef Bassily , Corinna Cortes , Anqi Mao , Mehryar Mohri

We consider the privacy amplification properties of a sampling scheme in which a user's data is used in $k$ steps chosen randomly and uniformly from a sequence (or set) of $t$ steps. This sampling scheme has been recently applied in the…

Machine Learning · Computer Science 2026-02-20 Vitaly Feldman , Moshe Shenfeld

Differentially private synthetic data enables the sharing and analysis of sensitive datasets while providing rigorous privacy guarantees for individual contributors. A central challenge is to achieve strong utility guarantees for meaningful…

Statistics Theory · Mathematics 2026-02-06 Rundong Ding , Yiyun He , Yizhe Zhu

We identify fundamental tradeoffs between statistical utility and privacy under local models of privacy in which data is kept private even from the statistician, providing instance-specific bounds for private estimation and learning…

Statistics Theory · Mathematics 2020-10-01 John C. Duchi , Feng Ruan

We study distributed estimation and learning problems in a networked environment where agents exchange information to estimate unknown statistical properties of random variables from their privately observed samples. The agents can…

Machine Learning · Computer Science 2024-04-02 Marios Papachristou , M. Amin Rahimian

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

Preference-based fine-tuning has become an important component in training large language models, and the data used at this stage may contain sensitive user information. A central question is how to design a differentially private pipeline…

Machine Learning · Statistics 2026-03-25 Young Hyun Cho , Will Wei Sun

Experiment design has a rich history dating back over a century and has found many critical applications across various fields since then. The use and collection of users' data in experiments often involve sensitive personal information, so…

Cryptography and Security · Computer Science 2023-11-09 Wei-Ning Chen , Graham Cormode , Akash Bharadwaj , Peter Romov , Ayfer Özgür

We present differentially private algorithms for the stochastic Multi-Armed Bandit (MAB) problem. This is a problem for applications such as adaptive clinical trials, experiment design, and user-targeted advertising where private…

Machine Learning · Statistics 2015-11-30 Aristide Tossou , Christos Dimitrakakis
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