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In this paper, we propose a distributed algorithm for the minimum dominating set problem. For some especial networks, we prove theoretically that the achieved answer by our proposed algorithm is a constant approximation factor of the exact…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Sharareh Alipour , Ehsan Futuhi , Shayan Karimi

This paper focuses on the distributed static estimation problem and a Belief Propagation (BP) based estimation algorithm is proposed. We provide a complete analysis for convergence and accuracy of it. More precisely, we offer conditions…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Damián Marelli , Tianju Sui , Minyue Fu , Ximing Sun

This paper presents a unified framework for supervised learning and inference procedures using the divide-and-conquer approach for high-dimensional correlated outcomes. We propose a general class of estimators that can be implemented in a…

Statistics Theory · Mathematics 2020-09-22 Emily C. Hector , Peter X. -K. Song

Motivated by multi-center biomedical studies that cannot share individual data due to privacy and ownership concerns, we develop communication-efficient iterative distributed algorithms for estimation and inference in the high-dimensional…

Methodology · Statistics 2024-06-25 Pierre Bayle , Jianqing Fan , Zhipeng Lou

Distributed statistical inference has recently attracted immense attention. The asymptotic efficiency of the maximum likelihood estimator (MLE), the one-step MLE, and the aggregated estimating equation estimator are established for…

Methodology · Statistics 2020-08-14 Ping Zhou , Zhen Yu , Jingyi Ma , Maozai Tian , Ye Fan

Sample covariance matrices from multi-population typically exhibit several large spiked eigenvalues, which stem from differences between population means and are crucial for inference on the underlying data structure. This paper…

Statistics Theory · Mathematics 2024-09-16 Weiming Li , Zeng Li , Junpeng Zhu

We consider an online estimation problem involving a set of agents. Each agent has access to a (personal) process that generates samples from a real-valued distribution and seeks to estimate its mean. We study the case where some of the…

Machine Learning · Computer Science 2022-12-20 Mahsa Asadi , Aurélien Bellet , Odalric-Ambrym Maillard , Marc Tommasi

The network scale-up method enables researchers to estimate the size of hidden populations, such as drug injectors and sex workers, using sampled social network data. The basic scale-up estimator offers advantages over other size estimation…

Applications · Statistics 2016-11-14 Dennis M. Feehan , Matthew J. Salganik

With the recent bloom of data, there is a huge surge in threats against individuals' private information. Various techniques for optimizing privacy-preserving data analysis are at the focus of research in the recent years. In this paper, we…

Cryptography and Security · Computer Science 2022-11-11 Sayan Biswas , Graham Cormode , Carsten Maple

This paper develops methods of distributed Bayesian hypothesis tests for fault detection and diagnosis that are based on belief propagation and optimization in graphical models. The main challenges in developing distributed statistical…

Systems and Control · Computer Science 2015-01-20 Kwang-Ki K. Kim

This paper proposes an interpretable non-model sharing collaborative data analysis method as one of the federated learning systems, which is an emerging technology to analyze distributed data. Analyzing distributed data is essential in many…

Machine Learning · Computer Science 2020-11-10 Akira Imakura , Hiroaki Inaba , Yukihiko Okada , Tetsuya Sakurai

When data are stored across multiple locations, directly pooling all the data together for statistical analysis may be impossible due to communication costs and privacy concerns. Distributed computing systems allow the analysis of such…

Methodology · Statistics 2025-02-27 Xian Li , Xuan Liang , A. H. Welsh , Tao Zou

Parametric estimation for diffusion processes is considered for high frequency observations over a fixed time interval. The processes solve stochastic differential equations with an unknown parameter in the diffusion coefficient. We find…

Methodology · Statistics 2017-04-03 Nina Munkholt Jakobsen , Michael Sørensen

Tempered stable distributions are frequently used in financial applications (e.g., for option pricing) in which the tails of stable distributions would be too heavy. Given the non-explicit form of the probability density function,…

Statistics Theory · Mathematics 2024-07-08 Till Massing

We consider statistical inference for a finite-dimensional parameter in a regular semiparametric model under a distributed setting with blockwise missingness, where entire blocks of variables are unavailable at certain sites and sharing…

Methodology · Statistics 2025-08-26 Jingyue Huang , Huiyuan Wang , Yuqing Lei , Yong Chen

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 article, the joint fluctuations of the extreme eigenvalues and eigenvectors of a large dimensional sample covariance matrix are analyzed when the associated population covariance matrix is a finite-rank perturbation of the identity…

Information Theory · Computer Science 2012-06-20 Romain Couillet , Walid Hachem

It is usual to rely on the quasi-likelihood methods for deriving statistical methods applied to clustered multinomial data with no underlying distribution. Even though extensive literature can be encountered for these kind of data sets,…

Methodology · Statistics 2015-10-21 Juana María Alonso , Nirian Martín , Leandro Pardo

In this paper, we consider a general distributed estimation problem in relay-assisted sensor networks by taking into account time-varying asymmetric communications, fading channels and intermittent measurements. Motivated by centralized…

Information Theory · Computer Science 2016-04-20 Shanying Zhu , Yeng Chai Soh , Lihua Xie

In order to estimate the population mean in the presence of both non-response and measurement errors that are uncorrelated, the paper presents some novel estimators employing ranked set sampling by utilizing auxiliary information.Up to the…

Methodology · Statistics 2023-11-06 Rajesh Singh , Anamika Kumari