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This article develops flexible methodology to study the association between scalar outcomes and functional predictors observed over time, at many instances, in longitudinal studies. We propose a parsimonious modeling framework to study…

Applications · Statistics 2018-01-25 Md Nazmul Islam , Ana-Maria Staicu , Eric van Heugten

Complex numerical weather prediction models incorporate a variety of physical processes, each described by multiple alternative physical schemes with specific parameters. The selection of the physical schemes and the choice of the…

Numerical Analysis · Computer Science 2018-02-23 Azam Moosavi , Vishwas Rao , Adrian Sandu

Weather Forecasting is an attractive challengeable task due to its influence on human life and complexity in atmospheric motion. Supported by massive historical observed time series data, the task is suitable for data-driven approaches,…

Machine Learning · Computer Science 2022-09-20 Minbo Ma , Peng Xie , Fei Teng , Tianrui Li , Bin Wang , Shenggong Ji , Junbo Zhang

Technological developments and open data policies have made large, global environmental datasets accessible to everyone. For analysing such datasets, including spatiotemporal correlations using traditional models based on Gaussian processes…

Computation · Statistics 2020-07-01 Marius Appel , Edzer Pebesma

Accurate spatiotemporal pattern analysis is critical in fields such as urban traffic, meteorology, and public health monitoring. However, existing methods face performance bottlenecks, typically yielding only incremental gains and often…

Machine Learning · Computer Science 2026-05-20 Jing Chen , Shixiang Pan , Yujie Fan , Haocheng Ye , Haitao Xu , Wenqiang Xu

Microclimate models are essential for linking climate to ecological processes, yet most physically based frameworks estimate temperature independently for each spatial unit and rely on simplified representations of lateral heat exchange. As…

Machine Learning · Computer Science 2026-03-17 Idan Sulami , Alon Itzkovitch , Michael R. Kearney , Moni Shahar , Ofir Levy

As urbanization and climate change progress, urban heat island effects are becoming more frequent and severe. To formulate effective mitigation plans, cities require detailed air temperature data. However, predictive analytics methods based…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 David Kreismann

Weather forecasting is a fundamental task in spatiotemporal data analysis, with broad applications across a wide range of domains. Existing data-driven forecasting methods typically model atmospheric dynamics over a fixed short time…

Machine Learning · Computer Science 2026-04-01 Jindong Tian , Yifei Ding , Ronghui Xu , Hao Miao , Chenjuan Guo , Bin Yang

We propose a data-driven framework to simplify the description of spatiotemporal climate variability into few entities and their causal linkages. Given a high-dimensional climate field, the methodology first reduces its dimensionality into…

Atmospheric and Oceanic Physics · Physics 2024-04-08 Fabrizio Falasca , Pavel Perezhogin , Laure Zanna

Water managers in the western United States (U.S.) rely on longterm forecasts of temperature and precipitation to prepare for droughts and other wet weather extremes. To improve the accuracy of these longterm forecasts, the U.S. Bureau of…

Applications · Statistics 2019-05-23 Jessica Hwang , Paulo Orenstein , Judah Cohen , Karl Pfeiffer , Lester Mackey

Traditionally, weather predictions are performed with the help of large complex models of physics, which utilize different atmospheric conditions over a long period of time. These conditions are often unstable because of perturbations of…

Machine Learning · Computer Science 2020-08-26 A H M Jakaria , Md Mosharaf Hossain , Mohammad Ashiqur Rahman

Analyzing ecological data often requires modeling the autocorrelation created by spatial and temporal processes. Many of the statistical methods used to account for autocorrelation can be viewed as regression models that include basis…

The increasing interest in spatially correlated functional data has led to the development of appropriate geostatistical techniques that allow to predict a curve at an unmonitored location using a functional kriging with external drift…

Methodology · Statistics 2017-06-23 Maria Franco-Villoria , Rosaria Ignaccolo

Spatial data display correlation between observations collected at neighboring locations. Generally, machine and deep learning methods either do not account for this correlation or do so indirectly through correlated features and thereby…

Methodology · Statistics 2024-10-08 Matthew J. Heaton , Andrew Millane , Jake S. Rhodes

Solar power harbors immense potential in mitigating climate change by substantially reducing CO$_{2}$ emissions. Nonetheless, the inherent variability of solar irradiance poses a significant challenge for seamlessly integrating solar power…

Machine Learning · Computer Science 2023-10-24 Oussama Boussif , Ghait Boukachab , Dan Assouline , Stefano Massaroli , Tianle Yuan , Loubna Benabbou , Yoshua Bengio

Identifying an appropriate covariance function is one of the primary interests in spatial and spatio-temporal statistics because it allows researchers to analyze the dependence structure of the random process. For this purpose, spatial…

Methodology · Statistics 2025-02-04 Jongwook Kim , Chunfeng Huang , Nicholas Bussberg

We propose a method for constructing confidence intervals that account for many forms of spatial correlation. The interval has the familiar `estimator plus and minus a standard error times a critical value' form, but we propose new methods…

Econometrics · Economics 2021-02-19 Ulrich K. Müller , Mark W. Watson

Spatiotemporal data analysis is pivotal across various domains, such as transportation, meteorology, and healthcare. The data collected in real-world scenarios are often incomplete due to device malfunctions and network errors.…

Machine Learning · Computer Science 2024-03-25 Yakun Chen , Kaize Shi , Zhangkai Wu , Juan Chen , Xianzhi Wang , Julian McAuley , Guandong Xu , Shui Yu

Climate models are biased with respect to real-world observations. They usually need to be adjusted before being used in impact studies. The suite of statistical methods that enable such adjustments is called bias correction (BC). However,…

Machine Learning · Computer Science 2025-01-08 Omer Nivron , Damon J. Wischik , Mathieu Vrac , Emily Shuckburgh , Alex T. Archibald

Modelling of precipitation and its extremes is important for urban and agriculture planning purposes. We present a method for producing spatial predictions and measures of uncertainty for spatio-temporal data that is heavy-tailed and…

Applications · Statistics 2014-11-19 Yang Liu , Philip Kokic