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A main purpose of spatial data analysis is to predict the objective variable for the unobserved locations. Although Geographically Weighted Regression (GWR) is often used for this purpose, estimation instability proves to be an issue. To…

Methodology · Statistics 2024-02-29 Toshiki Sakai , Jun Tsuchida , Hiroshi Yadohisa

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

Analyzing spatially varying effects is pivotal in geographic analysis. However, accurately capturing and interpreting this variability is challenging due to the increasing complexity and non-linearity of geospatial data. Recent advancements…

Machine Learning · Computer Science 2024-12-18 Lingbo Liu

Modeling data with non-stationary covariance structure is important to represent heterogeneity in geophysical and other environmental spatial processes. In this work, we investigate a multistage approach to modeling non-stationary…

Methodology · Statistics 2020-02-05 Ashton Wiens , Douglas Nychka , William Kleibe

We present the R-package mgm for the estimation of k-order Mixed Graphical Models (MGMs) and mixed Vector Autoregressive (mVAR) models in high-dimensional data. These are a useful extensions of graphical models for only one variable type,…

Applications · Statistics 2020-02-13 Jonas M. B. Haslbeck , Lourens J. Waldorp

Locally weighted regression was created as a nonparametric learning method that is computationally efficient, can learn from very large amounts of data and add data incrementally. An interesting feature of locally weighted regression is…

Machine Learning · Computer Science 2014-02-05 Franziska Meier , Philipp Hennig , Stefan Schaal

Local regression is widely used to explore spatial heterogeneity, but anisotropic or effectively low-dimensional neighborhoods can produce ill-conditioned local solves, causing coefficient variation driven by numerical artifacts rather than…

Methodology · Statistics 2026-03-31 Yuichiro Otani

This paper aims at improving predictive crime models by extending the mathematical framework of Artificial Neural Networks (ANNs) tailored to general spatiotemporal problems and appropriately applying them. Recent advancements in the…

Machine Learning · Computer Science 2025-04-01 Nicholas Robert Fisk , Matthew Ng Kok Ming , Zahratu Shabrina

Due to insufficient local area information, numerical weather prediction (NWP) may yield biases for specific areas. Previous studies correct biases mainly by employing handcrafted features or applying data-driven methods intuitively,…

Machine Learning · Computer Science 2024-06-12 Binqing Wu , Weiqi Chen , Wengwei Wang , Bingqing Peng , Liang Sun , Ling Chen

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

Estimating software effort has been a largely unsolved problem for decades. One of the main reasons that hinders building accurate estimation models is the often heterogeneous nature of software data with a complex structure. Typically,…

Software Engineering · Computer Science 2022-09-30 Yousef Alqasrawi , Mohammad Azzeh , Yousef Elsheikh

Socio-economic indicators like regional GDP, population, and education levels, are crucial to shaping policy decisions and fostering sustainable development. This research introduces GeoReg a regression model that integrates diverse data…

Machine Learning · Computer Science 2026-03-20 Kyeongjin Ahn , Sungwon Han , Seungeon Lee , Donghyun Ahn , Hyoshin Kim , Jungwon Kim , Jihee Kim , Sangyoon Park , Meeyoung Cha

Geographical random forest (GRF) is a recently developed and spatially explicit machine learning model. With the ability to provide more accurate predictions and local interpretations, GRF has already been used in many studies. The current…

Computers and Society · Computer Science 2024-09-24 Kai Sun , Ryan Zhenqi Zhou , Jiyeon Kim , Yingjie Hu

Gaussian process regression (GPR) is a fundamental model used in machine learning. Owing to its accurate prediction with uncertainty and versatility in handling various data structures via kernels, GPR has been successfully used in various…

Machine Learning · Computer Science 2021-12-16 Yuya Yoshikawa , Tomoharu Iwata

This paper presents the generalized spatial autoregression (GSAR) model, a significant advance in spatial econometrics for non-normal response variables belonging to the exponential family. The GSAR model extends the logistic SAR, probit…

Methodology · Statistics 2024-12-03 N. A. Cruz , J. D. Toloza-Delgado , O. O. Melo

Local Polynomial Regression (LPR) is a powerful tool for nonparametric smoothing, yet it traditionally suffers from a "Euclidean tautology": the variables used to define the local neighborhood are identical to those used in the polynomial…

Methodology · Statistics 2026-04-29 Yaniv Shulman

Confronted with the spatial heterogeneity of real estate market, some traditional research utilized Geographically Weighted Regression (GWR) to estimate the house price. However, its kernel function is non-linear, elusive, and complex to…

Applications · Statistics 2022-02-10 Zimo Wang , Yicheng Wang , Sensen Wu

Global climate models typically operate at a grid resolution of hundreds of kilometers and fail to resolve atmospheric mesoscale processes, e.g., clouds, precipitation, and gravity waves (GWs). Model representation of these processes and…

Atmospheric and Oceanic Physics · Physics 2024-11-15 Aman Gupta , Aditi Sheshadri , Sujit Roy , Vishal Gaur , Manil Maskey , Rahul Ramachandran

Humans leverage rich internal models of the world to reason about the future, imagine counterfactuals, and adapt flexibly to new situations. In Reinforcement Learning (RL), world models aim to capture how the environment evolves in response…

Artificial Intelligence · Computer Science 2025-10-29 Léopold Maytié , Roland Bertin Johannet , Rufin VanRullen

Recent learning-based visual localization methods use global descriptors to disambiguate visually similar places, but existing approaches often derive these descriptors from geometric cues alone (e.g., covisibility graphs), limiting their…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Son Tung Nguyen , Alejandro Fontan , Michael Milford , Tobias Fischer