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GNSS localization is an important part of today's autonomous systems, although it suffers from non-Gaussian errors caused by non-line-of-sight effects. Recent methods are able to mitigate these effects by including the corresponding…

Robotics · Computer Science 2020-03-20 Tim Pfeifer , Peter Protzel

Bayesian hierarchical models with latent Gaussian layers have proven very flexible in capturing complex stochastic behavior and hierarchical structures in high-dimensional spatial and spatio-temporal data. Whereas simulation-based Bayesian…

Methodology · Statistics 2017-08-10 Thomas Opitz

Statistical models often require inputs that are not completely known. This can occur when inputs are measured with error, indirectly, or when they are predicted using another model. In environmental epidemiology, air pollution exposure is…

Methodology · Statistics 2025-12-23 Konstantin Larin , Daniel R. Kowal

We present a novel approach for the analysis of multivariate case-control georeferenced data using Bayesian inference in the context of disease mapping, where the spatial distribution of different types of cancers is analyzed. Extending…

In this paper we consider a network of spatially distributed sensors which collect measurement samples of a spatial field, and aim at estimating in a distributed way (without any central coordinator) the entire field by suitably fusing all…

Systems and Control · Computer Science 2018-05-23 Francesco Sasso , Angelo Coluccia , Giuseppe Notarstefano

Air pollution remains a critical environmental and public health challenge, demanding high-resolution spatial data to better understand its spatial distribution and impacts. This study addresses the challenges of conducting multivariate…

Applications · Statistics 2025-03-18 Fernando Rodriguez Avellaneda , Erick A. Chacón-Montalván , Paula Moraga

Bayesian inference for spatial point patterns is often hindered computationally by intractable likelihoods. In the frequentist literature, estimating equations utilizing pseudolikelihoods have long been used for simulation-free parameter…

Methodology · Statistics 2025-07-24 Kevin M. Collins , Erin M. Schliep

Optimal design facilitates intelligent data collection. In this paper, we introduce a fully Bayesian design approach for spatial processes with complex covariance structures, like those typically exhibited in natural ecosystems. Coordinate…

High resolution geospatial data are challenging because standard geostatistical models based on Gaussian processes are known to not scale to large data sizes. While progress has been made towards methods that can be computed more…

Methodology · Statistics 2020-12-03 Michele Peruzzi , David B. Dunson

Infrared and visible image fusion has been a hot issue in image fusion. In this task, a fused image containing both the gradient and detailed texture information of visible images as well as the thermal radiation and highlighting targets of…

Computer Vision and Pattern Recognition · Computer Science 2020-09-04 Zixiang Zhao , Shuang Xu , Chunxia Zhang , Junmin Liu , Jiangshe Zhang

Ozone and particulate matter PM2.5 are co-pollutants that have long been associated with increased public health risks. Information on concentration levels for both pollutants come from two sources: monitoring sites and output from complex…

Applications · Statistics 2015-03-14 Veronica J. Berrocal , Alan E. Gelfand , David M. Holland

Spatio-temporal areal data can be seen as a collection of time series which are spatially correlated according to a specific neighboring structure. Incorporating the temporal and spatial dimension into a statistical model poses challenges…

Gaussian random field (GRF) models are widely used in spatial statistics to capture spatially correlated error. We investigate the results of replacing Gaussian processes with Laplace moving averages (LMAs) in spatial generalized linear…

Applications · Statistics 2019-07-26 Adam Walder , Ephraim M. Hanks

In this article, we propose a novel spatial global-local spike-and-slab selection prior for image-on-scalar regression. We consider a Bayesian hierarchical Gaussian process model for image smoothing, that uses a flexible Inverse-Wishart…

Methodology · Statistics 2022-12-19 Zijian Zeng , Meng Li , Marina Vannucci

Rapid developments in streaming data technologies have enabled real-time monitoring of human activity that can deliver high-resolution data on health variables over trajectories or paths carved out by subjects as they conduct their daily…

Methodology · Statistics 2024-09-11 Tomoya Wakayama , Sudipto Banerjee

Bayesian spatial modeling provides a flexible framework for whole-brain fMRI analysis by explicitly incorporating spatial dependencies, overcoming the limitations of traditional massive univariate approaches that lead to information waste.…

Methodology · Statistics 2025-11-18 Yuan Zhong , Gang Chen , Paul A. Taylor , Jian Kang

Missing data is a common problem in real-world sensor data collection. The performance of various approaches to impute data degrade rapidly in the extreme scenarios of low data sampling and noisy sampling, a case present in many real-world…

Signal Processing · Electrical Eng. & Systems 2022-01-21 Charul Paliwal , Pravesh Biyani , Ketan Rajawat

Current analysis of astronomical data are confronted with the daunting task of modeling the awkward features of astronomical data, among which heteroscedastic (point-dependent) errors, intrinsic scatter, non-ignorable data collection…

Instrumentation and Methods for Astrophysics · Physics 2011-12-19 S. Andreon

Fitting spatio-temporal models for areal data is crucial in many fields such as cancer epidemiology. However, when data sets are very large, many issues arise. The main objective of this paper is to propose a general procedure to analyze…

Methodology · Statistics 2023-02-06 E. Orozco-Acosta , A. Adin , M. D. Ugarte

In health-pollution cohort studies, accurate predictions of pollutant concentrations at new locations are needed, since the locations of fixed monitoring sites and study participants are often spatially misaligned. For multi-pollution data,…

Applications · Statistics 2022-01-24 Phuong T. Vu , Adam A. Szpiro , Noah Simon