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The objective of differential privacy (DP) is to protect privacy by producing an output distribution that is indistinguishable between any two neighboring databases. However, traditional differentially private mechanisms tend to produce…

密码学与安全 · 计算机科学 2023-11-07 Kai Zhang , Yanjun Zhang , Ruoxi Sun , Pei-Wei Tsai , Muneeb Ul Hassan , Xin Yuan , Minhui Xue , Jinjun Chen

Linear regression is an important tool across many fields that work with sensitive human-sourced data. Significant prior work has focused on producing differentially private point estimates, which provide a privacy guarantee to individuals…

机器学习 · 计算机科学 2019-10-30 Garrett Bernstein , Daniel Sheldon

Recent advances in molecular simulations allow the evaluation of previously unattainable observables, such as rate constants for protein folding. However, these calculations are usually computationally expensive and even significant…

应用统计 · 统计学 2019-03-27 Barmak Mostofian , Daniel M. Zuckerman

With the development of big data and machine learning, privacy concerns have become increasingly critical, especially when handling heterogeneous datasets containing sensitive personal information. Differential privacy provides a rigorous…

机器学习 · 统计学 2025-08-08 Ziliang Shen , Caixing Wang , Shaoli Wang , Yibo Yan

Many modern statistical analysis and machine learning applications require training models on sensitive user data. Under a formal definition of privacy protection, differentially private algorithms inject calibrated noise into the…

机器学习 · 统计学 2025-04-01 Yifei Xiong , Nianqiao Phyllis Ju , Sanguo Zhang

Bootstrap is a widely used technique that allows estimating the properties of a given estimator, such as its bias and standard error. In this paper, we evaluate and compare five bootstrap-based methods for making confidence intervals: two…

Formal disclosure avoidance techniques are necessary to ensure that published data can not be used to identify information about individuals. The addition of statistical noise to unpublished data can be implemented to achieve differential…

统计方法学 · 统计学 2024-06-10 Ryan Janicki , Scott H. Holan , Kyle M. Irimata , James Livsey , Andrew Raim

We study mean estimation for Gaussian distributions under \textit{personalized differential privacy} (PDP), where each record has its own privacy budget. PDP is commonly considered in two variants: \textit{bounded} and \textit{unbounded}…

数据结构与算法 · 计算机科学 2026-01-23 Wei Dong , Li Ge

Inference methods for computing confidence intervals in parametric settings usually rely on consistent estimators of the parameter of interest. However, it may be computationally and/or analytically burdensome to obtain such estimators in…

统计方法学 · 统计学 2024-09-20 Samuel Orso , Mucyo Karemera , Maria-Pia Victoria-Feser , Stéphane Guerrier

We establish a simple connection between robust and differentially-private algorithms: private mechanisms which perform well with very high probability are automatically robust in the sense that they retain accuracy even if a constant…

机器学习 · 统计学 2022-12-02 Kristian Georgiev , Samuel B. Hopkins

We consider statistical inference for a single coordinate of regression coefficients in high-dimensional linear models. Recently, the debiased estimators are popularly used for constructing confidence intervals and hypothesis testing in…

统计理论 · 数学 2020-10-20 Sai Li

Traditional approaches to differential privacy assume a fixed privacy requirement $\epsilon$ for a computation, and attempt to maximize the accuracy of the computation subject to the privacy constraint. As differential privacy is…

机器学习 · 计算机科学 2017-06-01 Katrina Ligett , Seth Neel , Aaron Roth , Bo Waggoner , Z. Steven Wu

We describe Bayesian inference for the parameters of Gaussian models of bounded data protected by differential privacy. Using this setting, we demonstrate that analysts can and should take constraints imposed by the bounds into account when…

统计方法学 · 统计学 2024-10-18 Zeki Kazan , Jerome P. Reiter

Privacy protection of users' entire contribution of samples is important in distributed systems. The most effective approach is the two-stage scheme, which finds a small interval first and then gets a refined estimate by clipping samples…

机器学习 · 计算机科学 2024-10-25 Puning Zhao , Lifeng Lai , Li Shen , Qingming Li , Jiafei Wu , Zhe Liu

A standing challenge in data privacy is the trade-off between the level of privacy and the efficiency of statistical inference. Here we conduct an in-depth study of this trade-off for parameter estimation in the $\beta$-model (Chatterjee,…

统计理论 · 数学 2024-06-05 Jinyuan Chang , Qiao Hu , Eric D. Kolaczyk , Qiwei Yao , Fengting Yi

We revisit the problem of releasing the sample mean of bounded samples in a dataset, privately, under user-level $\varepsilon$-differential privacy (DP). We aim to derive the optimal method of preprocessing data samples, within a canonical…

信息论 · 计算机科学 2026-01-12 V. Arvind Rameshwar , Anshoo Tandon

To protect the confidentiality of the 2020 Census, the U.S. Census Bureau adopted a statistical disclosure limitation framework based on the principles of differential privacy. A key component was the TopDown Algorithm, which applied…

统计方法学 · 统计学 2025-03-26 Robert Ashmead , Michael B. Hawes , Mary Pritts , Pavel Zhuravlev , Sallie Ann Keller

A reasonable confidence interval should have a confidence coefficient no less than the given nominal level and a small expected length to reliably and accurately estimate the parameter of interest, and the bootstrap interval is considered…

统计理论 · 数学 2024-02-15 Weizhen Wang , Chongxiu Yu , Zhongzhan Zhang

Many machine learning applications are based on data collected from people, such as their tastes and behaviour as well as biological traits and genetic data. Regardless of how important the application might be, one has to make sure…

机器学习 · 统计学 2017-04-11 Joonas Jälkö , Onur Dikmen , Antti Honkela

Protecting individual privacy is crucial when releasing sensitive data for public use. While data de-identification helps, it is not enough. This paper addresses parameter estimation in scenarios where data are perturbed using the…

统计方法学 · 统计学 2024-03-13 Qinglong Tian , Jiwei Zhao