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In this paper we introduce a novel framework for trajectory prediction of geospatial sequences using GraphTransformers. When viewed across several sequences, we observed that a graph structure automatically emerges between different…

Artificial Intelligence · Computer Science 2023-11-28 Pallavi Banerjee , Satyaki Chakraborty

Storm surge and waves are responsible for a substantial portion of tropical and extratropical cyclones-related damages. While high-fidelity numerical models have significantly advanced the simulation accuracy of storm surge and waves, they…

Atmospheric and Oceanic Physics · Physics 2024-03-27 Saeed Saviz Naeini , Reda Snaiki

Having reliable estimates of the occurrence rates of extreme events is highly important for insurance companies, government agencies and the general public. The rarity of an extreme event is typically expressed through its return period,…

Methodology · Statistics 2019-10-08 Ross Towe , Jonathan Tawn , Emma Eastoe , Rob Lamb

Many empirical hurricane economic loss models consider only wind speed and neglect storm size. These models may be inadequate in accurately predicting the losses of super-sized storms, such as Hurricane Sandy in 2012. In this study, we…

Atmospheric and Oceanic Physics · Physics 2015-06-19 Alice R. Zhai , Jonathan H. Jiang

The paper considers nonparametric specification tests of quantile curves for a general class of nonstationary processes. Using Bahadur representation and Gaussian approximation results for nonstationary time series, simultaneous confidence…

Statistics Theory · Mathematics 2010-10-20 Zhou Zhou

Aerodynamic models are developed to describe coherent structures and transport processes in hurricanes moving over open seas. The models consist of the lower boundary layer and upper adiabatic layer. Except friction at the air/sea…

Atmospheric and Oceanic Physics · Physics 2008-12-18 Arkady I. Leonov

Atlantic Canada faces significant hurricane threats from damaging winds and coastal flooding that are projected to intensify under climate change. This study adopts a two-stage framework. First, the evolution of wind and coastal-flood…

Atmospheric and Oceanic Physics · Physics 2025-10-24 Saeed Saviz Naeini , Reda Snaiki , Alejandro Di Luca

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…

Max-stable processes are natural models for spatial extremes because they provide suitable asymptotic approximations to the distribution of maxima of random fields. In the recent past, several parametric families of stationary max-stable…

Methodology · Statistics 2016-02-22 Raphael Huser , Marc G. Genton

Heteroscedastic Gaussian process regression, based on the concept of chained Gaussian processes, is used to build surrogates to predict site-specific loads on an offshore wind turbine. Stochasticity in the inflow turbulence and irregular…

Applications · Statistics 2022-06-15 Deepali Singh , Richard P. Dwight , Kasper Laugesen , Laurent Beaudet , Axelle Viré

Meteotsunamis are atmospherically driven sea-level oscillations that can trigger hazardous coastal flooding, particularly in resonant bays. This study assesses the GPU-based Meteo-HySEA model for meteotsunami simulation in the Adriatic Sea,…

Geophysics · Physics 2026-01-08 Alejandro González , Cléa Denamiel , Jorge Macías

Non-stationary time series modelling is applied to long tidal records from Esbjerg, Denmark, and coupled to climate change projections for sea-level and storminess, to produce projections of likely future sea-level maxima. The model has…

We present results from the sixth stage of a project to build a statistical hurricane model. Previous papers have described our modelling of the tracks, genesis, and lysis of hurricanes. In our track model we have so far employed a normal…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Tim Hall , Stephen Jewson

We study the first-passage time, the distribution of the maximum, and the absorption probability of fractional Brownian motion of Hurst parameter $H$ with both a linear and a non-linear drift. The latter appears naturally when applying…

Statistical Mechanics · Physics 2020-08-12 Maxence Arutkin , Benjamin Walter , Kay Joerg Wiese

Windstorms are a primary natural hazard affecting Europe that are commonly linked to substantial property and infrastructural damage and are responsible for the largest spatially aggregated financial losses. Such extreme winds are typically…

Applications · Statistics 2019-06-10 Paul Sharkey , Jonathan A. Tawn , Simon J. Brown

Projections of extreme sea levels (ESLs) are critical for managing coastal risks, but are made complicated by deep uncertainties. One key uncertainty is the choice of model structure used to estimate coastal hazards. Differences in model…

Data Analysis, Statistics and Probability · Physics 2020-06-15 Tony E. Wong , Travis Torline , Mingxuan Zhang

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

The forecast of tropical cyclone trajectories is crucial for the protection of people and property. Although forecast dynamical models can provide high-precision short-term forecasts, they are computationally demanding, and current…

Atmospheric and Oceanic Physics · Physics 2020-01-13 Sophie Giffard-Roisin , Mo Yang , Guillaume Charpiat , Christina Kumler-Bonfanti , Balázs Kégl , Claire Monteleoni

A flexible spatio-temporal model is implemented to analyse extreme extra-tropical cyclones objectively identified over the Atlantic and Europe in 6-hourly re-analyses from 1979-2009. Spatial variation in the extremal properties of the…

Applications · Statistics 2015-01-27 Theodoros Economou , David B. Stephenson , Christopher A. T. Ferro

Smart energy grid is an emerging area for new applications of machine learning in a non-stationary environment. Such a non-stationary environment emerges when large-scale failures occur at power distribution networks due to external…

Systems and Control · Computer Science 2013-04-30 Yun Wei , Chuanyi Ji , Floyd Galvan , Stephen Couvillon , George Orellana , James Momoh