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Hyper-spectral data can be analyzed to recover physical properties at large planetary scales. This involves resolving inverse problems which can be addressed within machine learning, with the advantage that, once a relationship between…

Applications · Statistics 2015-12-31 Antoine Deleforge , Florence Forbes , Sileye Ba , Radu Horaud

The idea of spatial crosscorrelation was conceived of long ago. However, unlike the related spatial autocorrelation, the theory and method of spatial crosscorrelation analysis have remained undeveloped. This paper presents a set of models…

Physics and Society · Physics 2018-12-19 Yanguang Chen

Time-to-event models are commonly used to study associations between risk factors and disease outcomes in the setting of electronic health records (EHR). In recent years, focus has intensified on social determinants of health, highlighting…

Applications · Statistics 2025-11-26 Yueming Shen , Christian Pean , David Dunson , Samuel Berchuck

This paper introduces area-level Poisson mixed models with temporal and SAR(1) spatially correlated random effects. Small area predictors of the proportions and counts of a dichotomic variable are derived from the new models and the…

Methodology · Statistics 2020-12-02 M. Boubeta , M. J. Lombardía , F. Marey-Pérez , D. Morales

The spatial panel regression model has shown great success in modelling econometric and other types of data that are observed both spatially and temporally with associated predictor variables. However, model checking via testing for spatial…

Methodology · Statistics 2021-10-22 Jianfeng Wang , Adam B Kashlak

Despite spatial econometrics is now considered a consolidated discipline, only in recent years we have experienced an increasing attention to the possibility of applying it to the field of discrete choices (e.g. Smirnov, 2010 for a recent…

Applications · Statistics 2019-08-02 A. G. Billé , G. Arbia

Coming up with Bayesian models for spatial data is easy, but performing inference with them can be challenging. Writing fast inference code for a complex spatial model with realistically-sized datasets from scratch is time-consuming, and if…

The health impact of long-term exposure to air pollution is now routinely estimated using spatial ecological studies, due to the recent widespread availability of spatial referenced pollution and disease data. However, this areal unit study…

Applications · Statistics 2014-12-16 Duncan Lee , Christophe Sarran

The objective of this study is to investigate spatial structures of error in the assessment of continuous raster data. The use of conventional diagnostics of error often overlooks the possible spatial variation in error because such…

Applications · Statistics 2025-10-15 Narumasa Tsutsumida , Pedro Rodríguez-Veiga , Paul Harris , Heiko Balzter , Alexis Comber

Causal reasoning is often challenging with spatial data, particularly when handling high-dimensional inputs. To address this, we propose a neural network (NN) based framework integrated with an approximate Gaussian process to manage spatial…

Machine Learning · Computer Science 2024-12-06 Ziyang Jiang , Zach Calhoun , Yiling Liu , Lei Duan , David Carlson

Prevalence mapping in low resource settings is an increasingly important endeavor to guide policy making and to spatially and temporally characterize the burden of disease. We will focus our discussion on consideration of the complex design…

Methodology · Statistics 2016-08-15 Jon Wakefield , Daniel Simpson , Jessica Godwin

Stochastic inverse problems considered in this article consist of estimating the probability distributions of intrinsically random inputs of computer models. These estimations are based on observable outputs affected by model noise, and…

Statistics Theory · Mathematics 2025-03-17 Nicolas Bousquet , Mélanie Blazère , Thomas Cerbelaud

Although spatial prediction is widely used for urban and environmental monitoring, its accuracy is often unsatisfactory if only a small number of samples are available in the study area. The objective of this study was to improve the…

Applications · Statistics 2022-11-22 Daisuke Murakami , Mami Kajita , Seiji Kajita

In this paper, we propose a Bayesian matrix-variate spatiotemporal modeling framework for jointly analyzing multiple response variables observed at spatial locations over time. The approach relaxes the standard assumption of spatial…

Methodology · Statistics 2026-04-23 Rodrigo de Souza Bulhões , Marina Silva Paez , Dani Gamerman

The function-on-function regression model is fundamental for analyzing relationships between functional covariates and responses. However, most existing function-on-function regression methodologies assume independence between observations,…

Methodology · Statistics 2025-12-02 Ufuk Beyaztas , Han Lin Shang , Gizel Bakicierler Sezer

Spatial autoregressive combined (SAC) model has been widely studied in the literature for the analysis of spatial data in various areas such as geography, economics, demography, regional sciences. This is a linear model with scalar…

Methodology · Statistics 2020-04-17 Alassane Aw , Emmanuel Nicolas Cabral

Joint models for longitudinal and time-to-event data have seen many developments in recent years. Though spatial joint models are still rare and the traditional proportional hazards formulation of the time-to-event part of the model is…

Methodology · Statistics 2024-06-25 Anja Rappl , Thomas Kneib , Stefan Lang , Elisabeth Bergherr

Spatial prediction refers to the estimation of unobserved values from spatially distributed observations. Although recent advances have improved the capacity to model diverse observation types, adoption in practice remains limited in…

Machine Learning · Statistics 2025-10-10 Yuta Shikuri , Hironori Fujisawa

Cosmological analyses of second-order weak lensing statistics require precise and accurate covariance estimates. These covariances are impacted by two sometimes neglected terms: A negative contribution to the Gaussian covariance due to…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-04 Laila Linke , Pierre A. Burger , Sven Heydenreich , Lucas Porth , Peter Schneider

Disease maps are an important tool in cancer epidemiology used for the analysis of geographical variations in disease rates and the investigation of environmental risk factors underlying spatial patterns. Cancer maps help epidemiologists…

Applications · Statistics 2020-12-08 Leiwen Gao , Sudipto Banerjee , Abhirup Datta