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The spatial composition and cellular heterogeneity of the tumor microenvironment plays a critical role in cancer development and progression. High-definition pathology imaging of tumor biopsies provide a high-resolution view of the spatial…

Applications · Statistics 2024-06-25 Nathaniel Osher , Jian Kang , Arvind Rao , Veerabhadran Baladandayuthapani

Spatial regression or geographically weighted regression models have been widely adopted to capture the effects of auxiliary information on a response variable of interest over a region. In contrast, relationships between response and…

Methodology · Statistics 2021-04-29 Shonosuke Sugasawa , Daisuke Murakami

This manuscript unites causal inference and spatial statistics, presenting novel insights for causal inference in spatial data analysis, and drawing from tools in spatial statistics to estimate causal effects. We introduce spatial causal…

Methodology · Statistics 2026-02-17 Georgia Papadogeorgou , Srijata Samanta

Multivariate spatial fields are of interest in many applications, including climate model emulation. Not only can the marginal spatial fields be subject to nonstationarity, but the dependence structure among the marginal fields and between…

Methodology · Statistics 2023-11-21 Paul F. V. Wiemann , Matthias Katzfuss

Given a set of synchronous time series, each associated with a sensor-point in space and characterized by inter-series relationships, the problem of spatiotemporal forecasting consists of predicting future observations for each point.…

Machine Learning · Computer Science 2024-06-11 Ivan Marisca , Cesare Alippi , Filippo Maria Bianchi

In this paper, we introduce a new spatial model that incorporates heteroscedastic variance depending on neighboring locations. The proposed process is regarded as the spatial equivalent to the temporal autoregressive conditional…

Statistics Theory · Mathematics 2020-10-20 Philipp Otto , Wolfgang Schmid , Robert Garthoff

Disease mapping is an important statistical tool used by epidemiologists to assess geographic variation in disease rates and identify lurking environmental risk factors from spatial patterns. Such maps rely upon spatial models for…

Methodology · Statistics 2021-02-08 Leiwen Gao , Abhirup Datta , Sudipto Banerjee

This paper focuses on the design of spatial experiments to optimize the amount of information derived from the experimental data and enhance the accuracy of the resulting causal effect estimator. We propose a surrogate function for the mean…

Machine Learning · Computer Science 2025-08-29 Jin Zhu , Jingyi Li , Hongyi Zhou , Yinan Lin , Zhenhua Lin , Chengchun Shi

In this paper, we focus on the model specification problem in multivariate spatial econometric models when a candidate set for the spatial weights matrix is available. We propose a model selection method for the multivariate spatial…

Methodology · Statistics 2025-09-09 Xin Miao , Fang Fang , Xuening Zhu , Hansheng Wang

Spatial capture-recapture (SCR) models are now widely used for estimating density from repeated individual spatial encounters. SCR accounts for the inherent spatial autocorrelation in individual detections by modelling detection…

We exploit the information derived from geographical coordinates to endogenously identify spatial regimes in technologies that are the result of a variety of complex, dynamic interactions among site-specific environmental variables and…

Applications · Statistics 2019-08-02 Anna Gloria Billé , Cristina Salvioni , Roberto Benedetti

Spatial data are often derived from multiple sources (e.g. satellites, in-situ sensors, survey samples) with different supports, but associated with the same properties of a spatial phenomenon of interest. It is common for predictors to…

Machine learning is gaining popularity in a broad range of areas working with geographic data, such as ecology or atmospheric sciences. Here, data often exhibit spatial effects, which can be difficult to learn for neural networks. In this…

Machine Learning · Computer Science 2021-08-20 Konstantin Klemmer , Daniel B. Neill

Traditional regression models assume stationary relationships between predictors and responses, failing to capture the spatial heterogeneity present in many environmental, epidemiological, and ecological processes. To address this…

Methodology · Statistics 2025-05-27 Justice Akuoko-Frimpong , Edward Shao , Jonathan Ta

We propose a new Bayesian approach for spatiotemporal areal data with censored and missing observations. The method introduces a flexible random effect that combines the spatial dependence structures of the Simultaneous Autoregressive (SAR)…

Methodology · Statistics 2026-04-14 Jose A. Ordoñez , Tsung-I Lin , Victor H. Lachos , Luis M. Castro

Predicting species distributions using occupancy models accounting for imperfect detection is now commonplace in ecology. Recently, modelling spatial and temporal autocorrelation was proposed to alleviate the lack of replication in…

Applications · Statistics 2025-10-10 André Luís Luza , Didier Alard , Frédéric Barraquand

Modeling multivariate time series as temporal signals over a (possibly dynamic) graph is an effective representational framework that allows for developing models for time series analysis. In fact, discrete sequences of graphs can be…

Machine Learning · Computer Science 2022-10-11 Ivan Marisca , Andrea Cini , Cesare Alippi

The spatial linear mixed model (SLMM) consists of fixed and spatial random effects that may be linearly dependent. Partially motivated as a means to address potential issues with confounding, the Restricted spatial regression (RSR) model…

Methodology · Statistics 2026-03-24 Jonathan R. Bradley

The space time autoregressive model has been widely applied in science, in areas such as economics, public finance, political science, agricultural economics, environmental studies and transportation analyses. The classical space time…

Applications · Statistics 2019-05-14 Wenqian Wang , Beth Andrews

Spatial functional data arise in many settings, such as particulate matter curves observed at monitoring stations and age population curves at each areal unit. Most existing functional regression models have limited applicability because…

Methodology · Statistics 2025-04-25 Heesang Lee , Dagun Oh , Sunhwa Choi , Jaewoo Park