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We investigate unbiased high-dimensional mean estimators in differential privacy. We consider differentially private mechanisms whose expected output equals the mean of the input dataset, for every dataset drawn from a fixed bounded…

统计理论 · 数学 2023-12-22 Aleksandar Nikolov , Haohua Tang

We consider the problem of generating private synthetic versions of real-world graphs containing private information while maintaining the utility of generated graphs. Differential privacy is a gold standard for data privacy, and the…

机器学习 · 计算机科学 2021-11-18 Xu Zheng , Nicholas McCarthy , Jer Hayes

Differentially-private mechanisms for text generation typically add carefully calibrated noise to input words and use the nearest neighbor to the noised input as the output word. When the noise is small in magnitude, these mechanisms are…

计算与语言 · 计算机科学 2021-04-27 Zekun Xu , Abhinav Aggarwal , Oluwaseyi Feyisetan , Nathanael Teissier

We present a framework for designing distorting mechanisms that allow remotely operating anomaly detectors while preserving privacy. We consider the problem setting in which a remote station seeks to identify anomalies using system…

系统与控制 · 电气工程与系统科学 2023-09-08 Haleh Hayati , Carlos Murguia , Nathan van de Wouw

We study the classical problem of community recovery in stochastic block models with a fixed number of communities, with a twist: We seek algorithms that are stable with respect to node-wise changes in the graph structure, formally defined…

统计理论 · 数学 2026-05-18 Laurentiu Marchis , Ethan D'souza , Tomáš Flídr , Po-Ling Loh

Linear sketching algorithms have been widely used for processing large-scale distributed and streaming datasets. Their popularity is largely due to the fact that linear sketches can be naturally composed in the distributed model and be…

数据结构与算法 · 计算机科学 2017-03-28 Jiecao Chen , Qin Zhang

In recent years, Gaussian noise has become a popular tool in differentially private algorithms, often replacing Laplace noise which dominated the early literature. Gaussian noise is the standard approach to $\textit{approximate}$…

密码学与安全 · 计算机科学 2024-11-19 Joel Daniel Andersson , Rasmus Pagh , Teresa Anna Steiner , Sahel Torkamani

Given a collection of vectors $x^{(1)},\dots,x^{(n)} \in \{0,1\}^d$, the selection problem asks to report the index of an "approximately largest" entry in $x=\sum_{j=1}^n x^{(j)}$. Selection abstracts a host of problems--in machine learning…

密码学与安全 · 计算机科学 2023-06-09 Ivan Damgård , Hannah Keller , Boel Nelson , Claudio Orlandi , Rasmus Pagh

Conventionally, in a differentially private additive noise mechanism, independent and identically distributed (i.i.d.) noise samples are added to each coordinate of the response. In this work, we formally present the addition of noise that…

密码学与安全 · 计算机科学 2025-01-28 Gokularam Muthukrishnan , Sheetal Kalyani

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

In this paper, an adjustment to the original differentially private stochastic gradient descent (DPSGD) algorithm for deep learning models is proposed. As a matter of motivation, to date, almost no state-of-the-art machine learning…

机器学习 · 计算机科学 2021-07-13 Mehdi Amian

Recent work has explored transforming data sets into smaller, approximate summaries in order to scale Bayesian inference. We examine a related problem in which the parameters of a Bayesian model are very large and expensive to store in…

机器学习 · 计算机科学 2018-10-03 Joseph Tassarotti , Jean-Baptiste Tristan , Michael Wick

Estimating the number of distinct elements in a data stream is well understood when repeated elements are identical. In modern settings, however, observations are high-dimensional and noisy, so repeated instances of the same object are only…

机器学习 · 统计学 2026-05-18 Nikos Tsikouras , Constantine Caramanis , Christos Tzamos

Publishing histograms with $\epsilon$-differential privacy has been studied extensively in the literature. Existing schemes aim at maximizing the utility of the published data, while previous experimental evaluations analyze the…

数据库 · 计算机科学 2017-04-24 Georgios Kellaris , Stavros Papadopoulos , Dimitris Papadias

Differential privacy is a mathematical framework for privacy-preserving data analysis. Changing the hyperparameters of a differentially private algorithm allows one to trade off privacy and utility in a principled way. Quantifying this…

机器学习 · 统计学 2020-07-23 Brendan Avent , Javier Gonzalez , Tom Diethe , Andrei Paleyes , Borja Balle

Bootstrap is a common tool for quantifying uncertainty in data analysis. However, besides additional computational costs in the application of the bootstrap on massive data, a challenging problem in bootstrap based inference under…

机器学习 · 统计学 2025-05-05 Holger Dette , Carina Graw

We study a basic private estimation problem: each of $n$ users draws a single i.i.d. sample from an unknown Gaussian distribution, and the goal is to estimate the mean of this Gaussian distribution while satisfying local differential…

机器学习 · 计算机科学 2019-10-29 Matthew Joseph , Janardhan Kulkarni , Jieming Mao , Zhiwei Steven Wu

Deep learning models are often trained on datasets that contain sensitive information such as individuals' shopping transactions, personal contacts, and medical records. An increasingly important line of work therefore has sought to train…

机器学习 · 计算机科学 2020-07-23 Zhiqi Bu , Jinshuo Dong , Qi Long , Weijie J. Su

Bayesian computation of high dimensional linear regression models with a popular Gaussian scale mixture prior distribution using Markov Chain Monte Carlo (MCMC) or its variants can be extremely slow or completely prohibitive due to the…

统计方法学 · 统计学 2021-05-12 Rajarshi Guhaniyogi , Aaron Scheffler

We consider a dataset $S$ held by an agency, and a vector query of interest, $f(S) \in \mathbb{R}^k$, to be posed by an analyst, which contains the information required for certain planned statistical inference. The agency releases the…

密码学与安全 · 计算机科学 2021-10-13 Tomer Shoham , Yosef Rinott