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Stochastic Spatio-Temporal processes are prevalent across domains ranging from modeling of plasma to the turbulence in fluids to the wave function of quantum systems. This letter studies a measure-theoretic description of such systems by…

Optimization and Control · Mathematics 2021-05-25 George I. Boutselis , Ethan N. Evans , Marcus A. Pereira , Evangelos A. Theodorou

In multivariate time series (MTS) forecasting, many deep learning based methods have been proposed for modeling dependencies at multiple spatial (inter-variate) or temporal (intra-variate) scales. However, existing methods may fail to model…

Machine Learning · Computer Science 2025-09-03 Binqing Wu , Jianlong Huang , Zongjiang Shang , Ling Chen

The influence of the Atlantic Multidecadal Variability (AMV) and its amplitude on the Euro-Mediterranean summer climate is studied in two climate models, namely CNRM-CM5 and EC-Earth3P. Large ensembles of idealized experiments have been…

Atmospheric and Oceanic Physics · Physics 2021-02-03 Saïd Qasmi , Emilia Sanchez-Gomez , Yohan Ruprich-Robert , Julien Boé , Christophe Cassou

A comprehensive understanding of the behaviours of the various geophysical processes and an effective evaluation of time series (else referred to as "stochastic") simulation models require, among others, detailed investigations across…

Applications · Statistics 2023-03-06 Georgia Papacharalampous , Hristos Tyralis , Yannis Markonis , Martin Hanel

Atlantic Multidecadal Variability (AMV) describes variations of North Atlantic sea surface temperature with a typical cycle of between 60 and 70 years. AMV strongly impacts local climate over North America and Europe, therefore prediction…

Machine Learning · Computer Science 2021-11-02 Glenn Liu , Peidong Wang , Matthew Beveridge , Young-Oh Kwon , Iddo Drori

Understanding local currents in the North Atlantic region of the ocean is a key part of modelling heat transfer and global climate patterns. Satellites provide a surface signature of the temperature of the ocean with a high horizontal…

Atmospheric and Oceanic Physics · Physics 2019-10-22 Gautier Cosne , Guillaume Maze , Pierre Tandeo

Poleward trends in seasonal-mean latitudes of tropical cyclones (TCs) have been identified in direct observations from 1980 to present. Paleoclimate reconstructions also indicate poleward-equatorward migrations over centennial to millennial…

Atmospheric and Oceanic Physics · Physics 2021-06-10 Joshua H. P. Studholme , Sergey K. Gulev

The study of the rapid intensification process of Tropical Cyclones (TCs) is a current, yet lacking research topic in Mexico, where thermal and dynamic factors at the microscale and mesoscale fundamentally intervene. Due to the little…

Atmospheric and Oceanic Physics · Physics 2024-09-24 Mauricio López-Reyes , Ángel Meulenert

Recent research has suggested that the overall dependence of convection near coasts on large-scale atmospheric conditions is weaker than over the open ocean or inland areas. This is due to the fact that in coastal regions convection is…

Atmospheric and Oceanic Physics · Physics 2017-11-07 Martin Bergemann , Boualem Khouider , Christian Jakob

Spatially-indexed multivariate data appear frequently in geostatistics and related fields including oceanography and environmental science. To take full advantage of this data structure, cross-covariance functions are constructed to…

Methodology · Statistics 2025-03-07 Drew Yarger , Anindya Bhadra

Numerical Weather Prediction (NWP) can reduce human suffering by predicting disastrous precipitation in time. A commonly-used NWP in the world is the European Centre for medium-range weather forecasts (EC). However, it is necessary to…

Machine Learning · Computer Science 2020-04-14 Yiqun Liu , Shouzhen Chen , Lei Chen , Hai Chu , Xiaoyang Xu , Junping Zhang , Leiming Ma

We propose computationally efficient methods for estimating stationary multivariate spatial and spatial-temporal spectra from incomplete gridded data. The methods are iterative and rely on successive imputation of data and updating of model…

Methodology · Statistics 2018-11-06 Joseph Guinness

This paper presents a novel spatio-temporal LSTM (SPATIAL) architecture for time series forecasting applied to environmental datasets. The framework was evaluated across multiple sensors and for three different oceanic variables: current…

Machine Learning · Statistics 2021-08-27 Yihao Hu , Fearghal O'Donncha , Paulito Palmes , Meredith Burke , Ramon Filgueira , Jon Grant

Reliable assessment of tropical cyclone (TC) risk is limited by the brevity and spatial sparsity of the historical record, particularly for the rare, high-intensity landfalls that dominate insured loss. We present WHITS (Wind-focused…

Machine Learning · Computer Science 2026-05-21 Jennifer Nakamura , Upmanu Lall

Spatially varying coefficient (SVC) models are a type of regression model for spatial data where covariate effects vary over space. If there are several covariates, a natural question is which covariates have a spatially varying effect and…

Methodology · Statistics 2021-02-12 Jakob A. Dambon , Fabio Sigrist , Reinhard Furrer

The Stochastic Heat Flow (SHF) emerges as the scaling limit of directed polymers in random environments and the noise-mollified Stochastic Heat Equation (SHE), specifically at the critical dimension of two and near the critical temperature.…

Probability · Mathematics 2026-03-17 Li-Cheng Tsai

A hidden Markov model is developed to simulate tropical cyclone intensity evolution dependent on the surrounding large-scale environment. The model considers three unobserved (hidden) discrete states of intensification and associates each…

Applications · Statistics 2020-01-08 Renzhi Jing , Ning Lin

Mediterranean cyclones are extreme meteorological events of which much less is known compared to their tropical, oceanic counterparts. The raising interest in such phenomena is due to their impact on a region increasingly more affected by…

Atmospheric and Oceanic Physics · Physics 2025-01-28 L. Roveri , L. Fery , L. Cavicchia , F. Grotto

Land Surface Temperature (LST) plays a key role in climate monitoring, urban heat assessment, and land-atmosphere interactions. However, current thermal infrared satellite sensors cannot simultaneously achieve high spatial and temporal…

Machine Learning · Computer Science 2025-12-24 Sofiane Bouaziz , Adel Hafiane , Raphael Canals , Rachid Nedjai

Future projection of climate is typically obtained by combining outputs from multiple Earth System Models (ESMs) for several climate variables such as temperature and precipitation. While IPCC has traditionally used a simple model output…

Machine Learning · Computer Science 2017-02-01 André R. Gonçalves , Arindam Banerjee , Fernando J. Von Zuben
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