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Clustering is widely used for unsupervised structure discovery, yet it offers limited insight into how reliable each individual assignment is. Diagnostics, such as convergence behavior or objective values, may reflect global quality, but…

Machine Learning · Computer Science 2026-05-15 Aggelos Semoglou , John Pavlopoulos

Capacitated spatial clustering, a type of unsupervised machine learning method, is often used to tackle problems in compressing, classifying, logistic optimization and infrastructure optimization. Depending on the application at hand, a…

Epidemiological investigations of regionally aggregated spatial data often involve detecting spatial health disparities among neighboring regions on a map of disease mortality or incidence rates. Analyzing such data introduces spatial…

Methodology · Statistics 2025-11-21 Kyle Lin Wu , Sudipto Banerjee

State-of-the-art deep learning methods have shown a remarkable capacity to model complex data domains, but struggle with geospatial data. In this paper, we introduce SpaceGAN, a novel generative model for geospatial domains that learns…

Machine Learning · Computer Science 2019-05-24 Konstantin Klemmer , Adriano Koshiyama , Sebastian Flennerhag

Spatial confounding poses a significant challenge in scientific studies involving spatial data, where unobserved spatial variables can influence both treatment and outcome, possibly leading to spurious associations. To address this problem,…

Machine Learning · Computer Science 2024-12-04 Mauricio Tec , Ana Trisovic , Michelle Audirac , Sophie Woodward , Jie Kate Hu , Naeem Khoshnevis , Francesca Dominici

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

The aerosol mixing state significantly affects the climate and health impacts of atmospheric aerosol particles. Simplified aerosol mixing state assumptions, common in Earth System models, can introduce errors in the prediction of these…

Machine Learning · Computer Science 2020-12-08 Zhonghua Zheng , Joseph Ching , Jeffrey H. Curtis , Yu Yao , Peng Xu , Matthew West , Nicole Riemer

Automated sensing instruments on satellites and aircraft have enabled the collection of massive amounts of high-resolution observations of spatial fields over large spatial regions. If these datasets can be efficiently exploited, they can…

Methodology · Statistics 2015-12-08 Matthias Katzfuss

Geographic experiments are a widely-used methodology for measuring incremental return on ad spend (iROAS) at scale, yet their design presents significant challenges. The unit count is small, heterogeneity is large, and the optimal Supergeo…

Applications · Statistics 2025-12-01 Charles Shaw

Autonomous materials research labs require the ability to combine and learn from diverse data streams. This is especially true for learning material synthesis-process-structure-property relationships, key to accelerating materials…

Machine Learning · Computer Science 2024-08-21 A. Gilad Kusne , Austin McDannald , Brian DeCost

Spatial aggregation with respect to a population distribution involves estimating aggregate quantities for a population based on an observation of individuals in a subpopulation. In this context, a geostatistical workflow must account for…

Methodology · Statistics 2022-07-15 John Paige , Geir-Arne Fuglstad , Andrea Riebler , Jon Wakefield

We present an algorithm to perform trust-region-based optimization for nonlinear unconstrained problems. The method selectively uses function and gradient evaluations at different floating-point precisions to reduce the overall energy…

Optimization and Control · Mathematics 2022-02-18 Richard J Clancy , Matt Menickelly , Jan Hückelheim , Paul Hovland , Prani Nalluri , Rebecca Gjini

This study aims to optimize the evaluation metric of multimodal multi-objective optimization problems using a Regionalized Metric Framework, which provides a certain boost to research in this field. Existing evaluation metrics usually use…

Neural and Evolutionary Computing · Computer Science 2025-06-03 Jintai Chen , Fangqing Liu , Xueming Yan , Han Huang

An original graph clustering approach to efficient localization of error covariances is proposed within an ensemble-variational data assimilation framework. Here the localization term is very generic and refers to the idea of breaking up a…

Statistics Theory · Mathematics 2020-02-03 Sibo Cheng , Jean-Philippe Argaud , Bertrand Iooss , Angélique Ponçot , Didier Lucor

Spatial models are used in a variety research areas, such as environmental sciences, epidemiology, or physics. A common phenomenon in many spatial regression models is spatial confounding. This phenomenon takes place when spatially indexed…

Methodology · Statistics 2021-06-08 Isa Marques , Thomas Kneib , Nadja Klein

Two-stage hierarchical models have been widely used in small area estimation to produce indirect estimates of areal means. When the areas are treated exchangeably and the model parameters are assumed to be the same over all areas, we might…

Methodology · Statistics 2020-01-10 Shonosuke Sugasawa , Yuki Kawakubo , Kota Ogasawara

Accurate spatial prediction of cellular traffic demand is essential for 5G NR capacity planning, network densification, and data-driven 6G planning. Although machine learning can fuse heterogeneous geospatial and socio-economic layers to…

Machine Learning · Computer Science 2026-03-12 Mohamad Alkadamani , Colin Brown , Halim Yanikomeroglu

With the advancement of technology and the arrival of miniaturized environmental sensors that offer greater performance, the idea of building mobile network sensing for air quality has quickly emerged to increase our knowledge of air…

Image segmentation aims to partition an image according to the objects in the scene and is a fundamental step in analysing very high spatial-resolution (VHR) remote sensing imagery. Current methods struggle to effectively consider land…

Computer Vision and Pattern Recognition · Computer Science 2024-01-08 Xianwei Lv , Claudio Persello , Wangbin Li , Xiao Huang , Dongping Ming , Alfred Stein

Residuals in regression models are often spatially correlated. Prominent examples include studies in environmental epidemiology to understand the chronic health effects of pollutants. I consider the effects of residual spatial structure on…

Methodology · Statistics 2010-11-05 Christopher J. Paciorek