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This paper is concerned with developing a novel distributed Kalman filtering algorithm over wireless sensor networks based on randomized consensus strategy. Compared with the centralized algorithm, distributed filtering techniques require…

Systems and Control · Computer Science 2018-10-08 Jiahu Qin , Jie Wang , Ling Shi , Yu Kang

In Bayesian applications, there is a huge interest in rapid and accurate estimation of the posterior distribution, particularly for high dimensional or hierarchical models. In this article, we propose to use optimization to solve for a…

Computation · Statistics 2021-03-12 Leo L. Duan

In many modern applications, large-scale sensor networks are used to perform statistical inference tasks. In this paper, we propose Bayesian methods for multiple change-point detection using a sensor network in which a fusion center (FC)…

Information Theory · Computer Science 2023-07-19 Eyal Nitzan , Topi Halme , Visa Koivunen

In this work we present full Bayesian inference for a new flexible nonseparable class of cross-covariance functions for multivariate spatial data. A Bayesian test is proposed for separability of covariance functions which is much more…

Methodology · Statistics 2017-07-24 Rafael S. Erbisti , Thais C. O. Fonseca , Mariane B. Alves

Bayesian imaging inverse problems in astrophysics and cosmology remain challenging, particularly in low-data regimes, due to complex forward operators and the frequent lack of well-motivated priors for non-Gaussian signals. In this paper,…

Instrumentation and Methods for Astrophysics · Physics 2026-02-06 Sébastien Pierre , Erwan Allys , Pablo Richard , Roman Soletskyi , Alexandros Tsouros

Approximate Bayesian inference for neural networks is considered a robust alternative to standard training, often providing good performance on out-of-distribution data. However, Bayesian neural networks (BNNs) with high-fidelity…

Machine Learning · Computer Science 2021-12-07 Pavel Izmailov , Patrick Nicholson , Sanae Lotfi , Andrew Gordon Wilson

In this paper, given a random uniform distribution of sensor nodes on a 2-D plane, a fast self-organized distributed algorithm is proposed to find the maximum number of partitions of the nodes such that each partition is connected and…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-12 Dibakar Saha , Nabanita Das

Emerging large-scale engineering systems rely on distributed fusion for situational awareness, where agents combine noisy local sensor measurements with exchanged information to obtain fused estimates. However, at the sheer scale of these…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Leonardo Pedroso , Pedro Batista , W. P. M. H. Heemels

We consider amortized Bayesian inference for nonlinear inverse problems in settings where only samples from the joint distribution of parameters and observations are available. Classical methods such as Markov chain Monte Carlo require…

Numerical Analysis · Mathematics 2026-05-19 Hojjat Kaveh , Ricardo Baptista , Andrew M. Stuart

We consider Bayesian inference in inverse regression problems where the objective is to infer about unobserved covariates from observed responses and covariates. We establish posterior consistency of such unobserved covariates in Bayesian…

Statistics Theory · Mathematics 2020-05-04 Debashis Chatterjee , Sourabh Bhattacharya

Wireless sensor networks consist of sensor nodes that are physically distributed over different locations. Spatial filtering procedures exploit the spatial correlation across these sensor signals to fuse them into a filtered signal…

Signal Processing · Electrical Eng. & Systems 2022-11-04 Cem Ates Musluoglu , Alexander Bertrand

This article investigates signal estimation in wireless transmission (i.e., receive combining) from the perspective of statistical machine learning, where the transmit signals may be from an integrated sensing and communication system; that…

Signal Processing · Electrical Eng. & Systems 2025-06-25 Shixiong Wang , Wei Dai , Geoffrey Ye Li

Bayesian estimation is a vital tool in robotics as it allows systems to update the robot state belief using incomplete information from noisy sensors. To render the state estimation problem tractable, many systems assume that the motion and…

Robotics · Computer Science 2025-01-13 Miguel Saavedra-Ruiz , Steven A. Parkison , Ria Arora , James Richard Forbes , Liam Paull

While Bayesian inference provides a principled framework for reasoning under uncertainty, its widespread adoption is limited by the intractability of exact posterior computation, necessitating the use of approximate inference. However,…

Machine Learning · Statistics 2026-05-19 George Whittle , Juliusz Ziomek , Jacob Rawling , Maike A. Osborne

Estimation problems in wireless sensor networks typically involve gathering and processing data from distributed sensors to infer the state of an environment at the fusion center. However, not all measurements contribute significantly to…

Signal Processing · Electrical Eng. & Systems 2025-04-17 Chen Quan , Geethu Joseph , Nitin Jonathan Myers

Meta-learning has proven to be successful for few-shot learning across the regression, classification, and reinforcement learning paradigms. Recent approaches have adopted Bayesian interpretations to improve gradient-based meta-learners by…

Machine Learning · Computer Science 2020-12-01 Amrith Setlur , Saket Dingliwal , Barnabas Poczos

This paper investigates the problem of linear spatial collaboration for distributed estimation in wireless sensor networks. In this context, the sensors share their local noisy (and potentially spatially correlated) observations with each…

Information Theory · Computer Science 2016-11-17 Mohammad Fanaei , Matthew C. Valenti , Abbas Jamalipour , Natalia A. Schmid

Modern neural networks have proven to be powerful function approximators, providing state-of-the-art performance in a multitude of applications. They however fall short in their ability to quantify confidence in their predictions - this is…

Machine Learning · Statistics 2020-06-29 Alex J. Chan , Ahmed M. Alaa , Zhaozhi Qian , Mihaela van der Schaar

Formulating a statistical inverse problem as one of inference in a Bayesian model has great appeal, notably for what this brings in terms of coherence, the interpretability of regularisation penalties, the integration of all uncertainties,…

Statistics Theory · Mathematics 2012-12-19 Natalia A. Bochkina , Peter J. Green

We develop a fast and scalable computational framework to solve large-scale and high-dimensional Bayesian optimal experimental design problems. In particular, we consider the problem of optimal observation sensor placement for Bayesian…

Numerical Analysis · Mathematics 2020-11-09 Keyi Wu , Peng Chen , Omar Ghattas