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There are two major routes to address the ubiquitous family of inverse problems appearing in signal and image processing, such as denoising or deblurring. A first route relies on Bayesian modeling, where prior probabilities are used to…

统计理论 · 数学 2026-03-24 Rémi Gribonval , Mila Nikolova

The simplest and most widely applied method for guaranteeing differential privacy is to add instance-independent noise to a statistic of interest that is scaled to its global sensitivity. However, global sensitivity is a worst-case notion…

统计理论 · 数学 2019-06-10 Mark Bun , Thomas Steinke

We propose a novel theoretical and methodological framework for Gaussian process regression subject to privacy constraints. The proposed method can be used when a data owner is unwilling to share a high-fidelity supervised learning model…

机器学习 · 计算机科学 2025-10-14 Rui Tuo , Haoyuan Chen , Raktim Bhattacharya

Differential Privacy (DP) is the current gold-standard for ensuring privacy for statistical queries. Estimation problems under DP constraints appearing in the literature have largely focused on providing equal privacy to all users. We…

机器学习 · 计算机科学 2025-04-22 Syomantak Chaudhuri , Thomas A. Courtade

In this work, we study the problem of distributed mean estimation with $1$-bit communication constraints when the variance is unknown. We focus on the specific case where each user has access to one i.i.d. sample drawn from a distribution…

信息论 · 计算机科学 2025-10-10 Ritesh Kumar , Shashank Vatedka

In this paper we revisit the classical problem of nonparametric regression, but impose local differential privacy constraints. Under such constraints, the raw data $(X_1,Y_1),\ldots,(X_n,Y_n)$, taking values in $\mathbb{R}^d \times…

统计理论 · 数学 2020-11-03 Thomas Berrett , László Györfi , Harro Walk

In this paper, we investigate secure communication over sparse millimeter-wave (mm-Wave) massive multiple-input multiple-output (MIMO) channels by exploiting the spatial sparsity of legitimate user's channel. We propose a secure…

信息论 · 计算机科学 2019-11-19 Jindan Xu , Wei Xu , Derrick Wing Kwan Ng , A. Lee Swindlehurst

Data privacy is an important concern in machine learning, and is fundamentally at odds with the task of training useful learning models, which typically require the acquisition of large amounts of private user data. One possible way of…

机器学习 · 计算机科学 2019-02-14 Mehrdad Showkatbakhsh , Can Karakus , Suhas Diggavi

We consider the problem of computing tight privacy guarantees for the composition of subsampled differentially private mechanisms. Recent algorithms can numerically compute the privacy parameters to arbitrary precision but must be carefully…

密码学与安全 · 计算机科学 2025-04-09 Christian Janos Lebeda , Matthew Regehr , Gautam Kamath , Thomas Steinke

This paper deals with arbitrarily distributed finite-power input signals observed through an additive Gaussian noise channel. It shows a new formula that connects the input-output mutual information and the minimum mean-square error (MMSE)…

信息论 · 计算机科学 2007-07-13 Dongning Guo , Shlomo Shamai , Sergio Verdu

A measure of privacy infringement for agents (or participants) travelling across a transportation network in participatory-sensing schemes for traffic estimation is introduced. The measure is defined to be the conditional probability that…

最优化与控制 · 数学 2016-09-06 Farhad Farokhi , Iman Shames

The structure of network data enables simple predictive models to leverage local correlations between nodes to high accuracy on tasks such as attribute and link prediction. While this is useful for building better user models, it introduces…

社会与信息网络 · 计算机科学 2020-04-07 Ivan Brugere , Tanya y. Berger-Wolf

This paper is concerned with the security problem for interconnected systems, where each subsystem is required to detect local attacks using locally available information and the information received from its neighboring subsystems.…

系统与控制 · 电气工程与系统科学 2024-06-04 Haojun Wang , Kun Liu , Baojia Li , Emilia Fridman , Yuanqing Xia

Privacy against an adversary (AD) that tries to detect the underlying privacy-sensitive data distribution is studied. The original data sequence is assumed to come from one of the two known distributions, and the privacy leakage is measured…

信息论 · 计算机科学 2019-03-12 Zuxing Li , Tobias J. Oechtering , Deniz Gunduz

We propose a method for the release of differentially private synthetic datasets. In many contexts, data contain sensitive values which cannot be released in their original form in order to protect individuals' privacy. Synthetic data is a…

统计方法学 · 统计学 2018-05-25 Joshua Snoke , Aleksandra Slavković

A private compression design problem is studied, where an encoder observes useful data $Y$, wishes to compress it using variable length code and communicates it through an unsecured channel. Since $Y$ is correlated with private attribute…

信息论 · 计算机科学 2024-03-27 Amirreza Zamani , Tobias J. Oechtering , Deniz Gündüz , Mikael Skoglund

In the \emph{shuffle model} of differential privacy, data-holding users send randomized messages to a secure shuffler, the shuffler permutes the messages, and the resulting collection of messages must be differentially private with regard…

密码学与安全 · 计算机科学 2020-08-13 Victor Balcer , Albert Cheu , Matthew Joseph , Jieming Mao

We revisit the classical problem of nonparametric density estimation but impose local differential privacy constraints. Under such constraints, the original multivariate data $X_1,\ldots,X_n \in \mathbb{R}^d$ cannot be directly observed,…

统计理论 · 数学 2022-11-15 László Györfi , Martin Kroll

We develop a communication-theoretic framework for privacy-aware and resilient decision making in cyber-physical systems under misaligned objectives between the encoder and the decoder. The encoder observes two correlated signals…

信号处理 · 电气工程与系统科学 2025-06-10 Anju Anand , Emrah Akyol

Minimizing the Mean Squared Error (MSE) is a key objective in machine learning and is commonly used for imputing missing values. While this approach provides accurate point estimates, it introduces systematic biases in downstream analyses.…

机器学习 · 统计学 2026-05-06 Stef van Buuren