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The areal modeling of the extremes of a natural process such as rainfall or temperature is important in environmental statistics; for example, understanding extreme areal rainfall is crucial in flood protection. This article reviews recent…

Methodology · Statistics 2012-08-17 A. C. Davison , S. A. Padoan , M. Ribatet

Statistical physics and dynamical systems theory are key tools to study high-impact geophysical events such as temperature extremes, cyclones, thunderstorms, geomagnetic storms and many more. Despite the intrinsic differences between these…

We propose a spatio-temporal data-fusion framework for point data and gridded data with variables observed on different spatial supports. A latent Gaussian field with a Mat\'ern-SPDE prior provides a continuous space representation, while…

Methodology · Statistics 2025-11-19 Weiyue Zheng , Andrew Elliott , Claire Miller , Marian Scott

The sparse and spatio-temporally discontinuous nature of precipitation data presents significant challenges for simulation and statistical processing for bias correction and downscaling. These include incorrect representation of…

Machine Learning · Computer Science 2024-12-20 Gokul Radhakrishnan , Rahul Sundar , Nishant Parashar , Antoine Blanchard , Daiwei Wang , Boyko Dodov

High precision cosmology with weak gravitational lensing requires a precise measure of the Point Spread Function across the imaging data where the accuracy to which high spatial frequency variation can be modelled is limited by the stellar…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Catherine Heymans , Barnaby Rowe , Henk Hoekstra , Lance Miller , Thomas Erben , Thomas Kitching , Ludovic Van Waerbeke

We propose Space-time in situ postprocessing (STIPP), a machine learning model that generates spatio-temporally consistent weather forecasts for a network of station locations. Gridded forecasts from classical numerical weather prediction…

Atmospheric and Oceanic Physics · Physics 2026-01-07 David Landry , Isabelle Gouttevin , Hugo Merizen , Claire Monteleoni , Anastase Charantonis

Simulation of rainfall over a region for long time-sequences can be very useful for planning and policy-making, especially in India where the economy is heavily reliant on monsoon rainfall. However, such simulations should be able to…

Applications · Statistics 2017-09-04 Adway Mitra

We propose a latent self-exciting point process model that describes geographically distributed interactions between pairs of entities. In contrast to most existing approaches that assume fully observable interactions, here we consider a…

Social and Information Networks · Computer Science 2014-05-02 Yoon-Sik Cho , Aram Galstyan , P. Jeffrey Brantingham , George Tita

One measurement modality for rainfall is a fixed location rain gauge. However, extreme rainfall, flooding, and other climate extremes often occur at larger spatial scales and affect more than one location in a community. For example, in…

Methodology · Statistics 2024-05-02 Carlynn Fagnant , Julia C. Schedler , Katherine B. Ensor

Periodically time-varying media, known as photonic time crystals (PTCs), provide a promising platform for observing unconventional wave phenomena. We analyze the scattering of electromagnetic waves from spatially finite PTCs using the…

This article deals with the spatio-temporal sensors deployment in order to maximize detection probability of an intelligent and randomly moving target in an area under surveillance. Our work is based on the rare events simulation framework.…

Neural and Evolutionary Computing · Computer Science 2017-02-24 Chouchane Mathieu , Paris Sébastien , Le Gland François , Ouladsine Mustapha

This paper introduces a new spatial scan statistic designed to adjust cluster detection for longitudinal confounding factors indexed in space. The functional-model-adjusted statistic was developed using generalized functional linear models…

Methodology · Statistics 2019-03-05 Michael Genin , Mohamed-Salem Ahmed

We describe spatio-temporal random processes using linear mixed models. We show how many commonly used models can be viewed as special cases of this general framework and pay close attention to models with separable or product-sum…

Methodology · Statistics 2021-06-01 Michael Dumelle , Jay M. Ver Hoef , Claudio Fuentes , Alix Gitelman

Downscaling aims to link the behaviour of the atmosphere at fine scales to properties measurable at coarser scales, and has the potential to provide high resolution information at a lower computational and storage cost than numerical…

Atmospheric and Oceanic Physics · Physics 2021-05-19 Rachel Prudden , Niall Robinson , Peter Challenor , Richard Everson

Atmospheric trace-gas inversion refers to any technique used to predict spatial and temporal fluxes using mole-fraction measurements and atmospheric simulations obtained from computer models. Studies to date are most often of a…

The algorithms used for the optimal management of an ambulance fleet require an accurate description of the spatio-temporal evolution of the emergency events. In the last years, several authors have proposed sophisticated statistical…

Applications · Statistics 2023-05-01 Andrea Gilardi , Riccardo Borgoni , Jorge Mateu

Self-exciting point processes are widely used to model the contagious effects of crime events living within continuous geographic space, using their occurrence time and locations. However, in urban environments, most events are naturally…

Applications · Statistics 2025-10-01 Zheng Dong , Jorge Mateu , Yao Xie

Accurate stochastic simulations of hourly precipitation are needed for impact studies at local spatial scales. Statistically, hourly precipitation data represent a difficult challenge. They are non-negative, skewed, heavy tailed, contain a…

Methodology · Statistics 2015-06-22 Erwan Koch , Philippe Naveau

Spatio-temporal interaction is inherent to cases of infectious diseases and occurrences of earthquakes, whereas the spread of other events, such as cancer or crime, is less evident. Statistical significance tests of space-time clustering…

Methodology · Statistics 2016-05-03 Sebastian Meyer , Ingeborg Warnke , Wulf Rössler , Leonhard Held

Argo floats measure seawater temperature and salinity in the upper 2,000 m of the global ocean. Statistical analysis of the resulting spatio-temporal dataset is challenging due to its nonstationary structure and large size. We propose…

Applications · Statistics 2018-12-31 Mikael Kuusela , Michael L. Stein
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