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Nonstationarity is a major challenge in analyzing spatial data. For example, daily precipitation measurements may have increased variability and decreased spatial smoothness in areas with high mean rainfall. Common nonstationary covariance…

Methodology · Statistics 2019-05-31 Geoffrey Colin Lee Peterson , Joseph Guinness , Adam Terando , Brian J. Reich

The physical sciences are replete with dynamical systems that require the resolution of a wide range of length and time scales. This presents significant computational challenges since direct numerical simulation requires discretization at…

Machine Learning · Computer Science 2025-11-11 Andrew F. Ilersich , Prasanth B. Nair

Causal discovery is the subfield of causal inference concerned with estimating the structure of cause-and-effect relationships in a system of interrelated variables, as opposed to quantifying the strength or describing the form of causal…

Methodology · Statistics 2026-03-26 Rebecca F. Supple , Hannah Worthington , Ben Swallow

This paper develops a novel spatial quantile function-on-scalar regression model, which studies the conditional spatial distribution of a high-dimensional functional response given scalar predictors. With the strength of both quantile…

Methodology · Statistics 2020-12-22 Zhengwu Zhang , Xiao Wang , Linglong Kong , Hongtu Zhu

Structural causal models describe how the components of a robotic system interact. They provide both structural and functional information about the relationships that are present in the system. The structural information outlines the…

Robotics · Computer Science 2025-08-12 Alejandro Murillo-Gonzalez , Junhong Xu , Lantao Liu

A recurrent task in coordinated systems is managing (estimating, predicting, or controlling) signals that vary in space, such as distributed sensed data or computation outcomes. Especially in large-scale settings, the problem can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-14 Roberto Casadei , Stefano Mariani , Danilo Pianini , Mirko Viroli , Franco Zambonelli

Bayesian model-based spatial clustering methods are widely used for their flexibility in estimating latent clusters with an unknown number of clusters while accounting for spatial proximity. Many existing methods are designed for clustering…

Methodology · Statistics 2025-08-13 Kun Huang , Huiyan Sang

A spatial co-location pattern represents a subset of spatial features whose instances are prevalently located together in a geographic space. Although many algorithms of mining spatial co-location pattern have been proposed, there are still…

Databases · Computer Science 2020-04-23 Xin Hu , Guoyin Wang , Jiangli Duan

In this article, we develop and investigate a new classifier based on features extracted using spatial depth. Our construction is based on fitting a generalized additive model to the posterior probabilities of the different competing…

Methodology · Statistics 2015-04-16 Subhajit Dutta , Anil K. Ghosh

Enhancement of the predictive power and robustness of nonlinear population dynamics models allows ecologists to make more reliable forecasts about species' long term survival. However, the limited availability of detailed ecological data,…

Pattern Formation and Solitons · Physics 2025-04-18 Indrajyoti Gaine , Malay Banerjee

Many scientific applications involve mixed spatially indexed outcomes of heterogeneous types that are driven by shared latent mechanisms. Modeling such data is challenging due to complex, nonlinear, and potentially nonstationary spatial…

Methodology · Statistics 2026-03-10 Yeseul Jeon , Kyeong Eun Lee , Joon Jin Song

Spatial ecological networks are widely used to model interactions between georeferenced biological entities (e.g., populations or communities). The analysis of such data often leads to a two-step approach where groups containing similar…

Applications · Statistics 2014-02-24 Vincent Miele , Franck Picard , Stéphane Dray

Spatial data is ubiquitous. Massive amounts of data are generated every day from a plethora of sources such as billions of GPS-enabled devices (e.g., cell phones, cars, and sensors), consumer-based applications (e.g., Uber and Strava), and…

The paper proposes a Bayesian multinomial logit model to analyse spatial patterns of urban expansion. The specification assumes that the log-odds of each class follow a spatial autoregressive process. Using recent advances in Bayesian…

Econometrics · Economics 2020-08-04 Tamás Krisztin , Philipp Piribauer , Michael Wögerer

We introduce a model for spatial statistics which can account explicitly for interactions among more than two field components at a time. The theoretical aspects of the model are dealt with: cumulant and moment generating functions, spatial…

Methodology · Statistics 2014-10-30 Rodríguez , Jhan , Bárdossy , András

In this paper, we investigate a new framework for image classification that adaptively generates spatial representations. Our strategy is based on a sequential process that learns to explore the different regions of any image in order to…

Computer Vision and Pattern Recognition · Computer Science 2014-02-12 Gabriel Dulac-Arnold , Ludovic Denoyer , Nicolas Thome , Matthieu Cord , Patrick Gallinari

This paper contributes to the multivariate analysis of marked spatio-temporal point process data by introducing different partial point characteristics and extending the spatial dependence graph model formalism. Our approach yields a…

Methodology · Statistics 2020-03-06 Matthias Eckardt , Jonatan A. González , Jorge Mateu

In practice rarely (if ever) is the spatial covariance known in spatial prediction problems. Often, prediction is performed after estimated spatial covariance parameters are plugged into the prediction equation. The estimated spatial…

Methodology · Statistics 2014-09-11 Roberto Rivera , Wendy Meiring

The Proportional Hazards (PH) model is one of the most widely used models in survival analysis, typically assuming a log-linear relationship between covariates and the hazard function. However, in the context of spatial survival data, where…

Methodology · Statistics 2026-02-17 Lorenzo Tedesco , Francesco Finazzi

Spatial connectivity is an important consideration when modelling infectious disease data across a geographical region. Connectivity can arise for many reasons, including shared characteristics between regions, and human or vector movement.…

Methodology · Statistics 2022-06-06 Sophie A Lee , Theodoros Economou , Rachel Lowe
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