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We present a Bayesian data fusion method to approximate a posterior distribution from an ensemble of particle estimates that only have access to subsets of the data. Our approach relies on approximate probabilistic inference of model…

Computation · Statistics 2020-10-28 Caleb Miller , Michael D. Schneider , Jem N. Corcoran , Jason Bernstein

This paper develops a mathematical and computational framework for analyzing the expected performance of Bayesian data fusion, or joint statistical inference, within a sensor network. We use variational techniques to obtain the posterior…

Statistics Theory · Mathematics 2016-02-23 Gaurav Thakur

Distributed inference/estimation in Bayesian framework in the context of sensor networks has recently received much attention due to its broad applicability. The variational Bayesian (VB) algorithm is a technique for approximating…

Machine Learning · Statistics 2020-11-30 Junhao Hua , Chunguang Li

Covariance matrix estimation arises in multivariate problems including multivariate normal sampling models and regression models where random effects are jointly modeled, e.g. random-intercept, random-slope models. A Bayesian analysis of…

Methodology · Statistics 2016-07-14 Ignacio Alvarez , Jarad Niemi , Matt Simpson

In this article we consider the problems of distributed detection and estimation in wireless sensor networks. In the first part, we provide a general framework aimed to show how an efficient design of a sensor network requires a joint…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-08 Sergio Barbarossa , Stefania Sardellitti , Paolo Di Lorenzo

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

Machine Learning · Statistics 2025-12-22 Yuli Slavutsky , David M. Blei

The problem of distributed dynamic state estimation in wireless sensor networks is studied. Two important properties of local estimates, namely, the consistency and confidence, are emphasized. On one hand, the consistency, which means that…

Information Theory · Computer Science 2016-11-15 Shaocheng Wang , Wei Ren

In this paper we study the problem of distributed estimation of a Gaussian vector with linear observation model in a wireless sensor network (WSN) consisting of K sensors that transmit their modulated quantized observations over orthogonal…

Signal Processing · Electrical Eng. & Systems 2020-05-01 Mojtaba Shirazi , Alireza Sani , Azadeh Vosoughi

Monitoring networks contain monitoring nodes which observe an area of interest to detect any possible existing object and estimate its states. Each node has characteristics such as probability of detection and clutter density which may have…

Systems and Control · Computer Science 2019-04-24 Abolghasem Daeichian , Elham Honarvar

Inverse problems, i.e., estimating parameters of physical models from experimental data, are ubiquitous in science and engineering. The Bayesian formulation is the gold standard because it alleviates ill-posedness issues and quantifies…

Machine Learning · Statistics 2024-05-28 Sharmila Karumuri , Ilias Bilionis

The integration of data and knowledge from several sources is known as data fusion. When data is only available in a distributed fashion or when different sensors are used to infer a quantity of interest, data fusion becomes essential. In…

Machine Learning · Computer Science 2023-12-11 Peng Wu , Tales Imbiriba , Victor Elvira , Pau Closas

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

Machine Learning · Computer Science 2019-04-03 Konstantin Posch , Jürgen Pilz

Sensor networks aim at monitoring their surroundings for event detection and object tracking. But, due to failure, or death of sensors, false signal can be transmitted. In this paper, we consider the problems of distributed fault detection…

Networking and Internet Architecture · Computer Science 2013-01-22 Mrinal Nandi , Anup Dewanji , Bimal Roy , Santanu Sarkar

In this paper, a Bayesian fusion technique for remotely sensed multi-band images is presented. The observed images are related to the high spectral and high spatial resolution image to be recovered through physical degradations, e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2014-08-27 Qi Wei , Nicolas Dobigeon , Jean-Yves Tourneret

We analyze a binary hypothesis testing problem built on a wireless sensor network (WSN) for detecting a stationary random process distributed both in space and time with circularly-symmetric complex Gaussian distribution under the…

Other Statistics · Statistics 2014-10-20 Juan Augusto Maya , Leonardo Rey Vega , Cecilia G. Galarza

We consider distributed estimation of a Gaussian vector with a linear observation model in an inhomogeneous wireless sensor network, where a fusion center (FC) reconstructs the unknown vector, using a linear estimator. Sensors employ…

Information Theory · Computer Science 2016-08-24 Alireza Sani , Azadeh Vosoughi

We consider distributed estimation of a random source in a hierarchical power constrained wireless sensor network. Sensors within each cluster send their measurements to a cluster head (CH). CHs optimally fuse the received signals and…

Signal Processing · Electrical Eng. & Systems 2020-05-01 Mojtaba Shirazi , Azadeh Vosoughi

A central problem in analog wireless sensor networks is to design the gain or phase-shifts of the sensor nodes (i.e. the relaying configuration) in order to achieve an accurate estimation of some parameter of interest at a fusion center, or…

Signal Processing · Electrical Eng. & Systems 2019-08-05 Shahin Khobahi , Mojtaba Soltanalian , Feng Jiang , A. Lee Swindlehurst

The growing need for accurate and reliable tracking systems has driven significant progress in sensor fusion and object tracking techniques. In this paper, we design two variational Bayesian trackers that effectively track multiple targets…

Signal Processing · Electrical Eng. & Systems 2023-09-06 Qing Li , Runze Gan , Simon Godsill

Distributed estimation in the context of sensor networks is considered, where distributed agents are given a set of sensor measurements, and are tasked with estimating a target variable. A subset of sensors are assumed to be faulty. The…

Signal Processing · Electrical Eng. & Systems 2022-12-26 Marian Temprana Alonso , Farhad Shirani , S. Sitharama Iyengar
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