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We study the spatio-temporal prediction problem and introduce a novel point-process-based prediction algorithm. Spatio-temporal prediction is extensively studied in Machine Learning literature due to its critical real-life applications such…

Machine Learning · Statistics 2021-03-17 Oguzhan Karaahmetoglu , Suleyman S. Kozat

Additive spatial statistical models with weakly stationary process assumptions have become standard in spatial statistics. However, one disadvantage of such models is the computation time, which rapidly increases with the number of data…

Methodology · Statistics 2024-10-18 Sudipto Saha , Jonathan R. Bradley

We consider performing simulation experiments in the presence of covariates. Here, covariates refer to some input information other than system designs to the simulation model that can also affect the system performance. To make decisions,…

Methodology · Statistics 2022-11-28 Cheng Li , Siyang Gao , Jianzhong Du

We study the spatio-temporal prediction problem, which has attracted the attention of many researchers due to its critical real-life applications. In particular, we introduce a novel approach to this problem. Our approach is based on the…

Machine Learning · Statistics 2020-07-07 Oguzhan Karaahmetoglu , Suleyman Serdar Kozat

Assessing the spatial fairness of predictive models involves establishing whether they are statistically penalizing (favoring) individuals associated with certain geographical locations. Literature on this topic makes the fundamental…

Machine Learning · Computer Science 2026-05-25 Francesco Lettich , Mario A. Nascimento , Chiara Pugliese , Chiara Renso

Scientists and engineers commonly use simulation models to study real systems for which actual experimentation is costly, difficult, or impossible. Many simulations are stochastic in the sense that repeated runs with the same input…

Statistics Theory · Mathematics 2018-08-09 Wenjia Wang , Benjamin Haaland

Accurate precipitation estimates at individual locations are crucial for weather forecasting and spatial analysis. This study presents a paradigm shift by leveraging Deep Neural Networks (DNNs) to surpass traditional methods like Kriging…

In decommissioning projects of nuclear facilities, the radiological characterisation step aims to estimate the quantity and spatial distribution of different radionuclides. To carry out the estimation, measurements are performed on site to…

Methodology · Statistics 2023-05-15 Martin Wieskotten , Marielle Crozet , Bertrand Iooss , Céline Lacaux , Amandine Marrel

Functional Ordinary Kriging is the most widely used method to predict a curve at a given spatial point. However, uncertainty remains an open issue. In this article a distribution-free prediction method based on two different modulation…

Methodology · Statistics 2024-10-01 Anna De Magistris , Andrea Diana , Elvira Romano

The use of weather index insurances is subject to spatial basis risk, which arises from the fact that the location of the user's risk exposure is not the same as the location of any of the weather stations where an index can be measured. To…

Applications · Statistics 2024-08-01 Yiping Guo , Johnny Siu-Hang Li

Remote sensing data products often include quality flags that inform users whether the associated observations are of good, acceptable or unreliable qualities. However, such information on data fidelity is not considered in remote sensing…

Applications · Statistics 2022-08-19 Bledar A. Konomi , Emily L. Kang , Ayat Almomani , Jonathan Hobbs

Spatiotemporal kriging is an important application in spatiotemporal data analysis, aiming to recover/interpolate signals for unsampled/unobserved locations based on observed signals. The principle challenge for spatiotemporal kriging is…

Machine Learning · Computer Science 2021-09-28 Yuankai Wu , Dingyi Zhuang , Mengying Lei , Aurelie Labbe , Lijun Sun

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

In this paper we explore the use of spatial clustering algorithms as a new computational approach for modeling the cosmic web. We demonstrate that such algorithms are efficient in terms of computing time needed. We explore three distinct…

Instrumentation and Methods for Astrophysics · Physics 2022-09-14 Dimitrios Kelesis , Spyros Basilakos , Vicky Papadopoulou Lesta , Dimitris Fotakis , Andreas Efstathiou

Machine learning and geostatistics are two fundamentally different frameworks for predicting and spatially mapping soil properties. Geostatistics leverages the spatial structure of soil properties, while machine learning captures the…

Machine Learning · Computer Science 2026-01-06 Jonas Schmidinger , Viacheslav Barkov , Sebastian Vogel , Martin Atzmueller , Gerard B M Heuvelink

Numerical weather forecasts can exhibit systematic errors due to simplifying model assumptions and computational approximations. Statistical postprocessing is a statistical approach to correcting such biases. A statistical postprocessing…

Methodology · Statistics 2022-09-02 Stefan Siegert , Ben Hooper , Joshua Lovegrove , Tyler Thomson , Birgir Hrafnkelsson

Kriging is a widely employed technique, in particular for computer experiments, in machine learning or in geostatistics. An important challenge for Kriging is the computational burden when the data set is large. This article focuses on a…

Statistics Theory · Mathematics 2021-03-01 François Bachoc , Nicolas Durrande , Didier Rullière , Clément Chevalier

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

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

Macroscopic models for spatially extended systems under random influences are often described by stochastic partial differential equations (SPDEs). Some techniques for understanding solutions of such equations, such as estimating…

Dynamical Systems · Mathematics 2009-03-27 Jinqiao Duan