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We develop and implement a novel fast bootstrap for dependent data. Our scheme is based on the i.i.d. resampling of the smoothed moment indicators. We characterize the class of parametric and semi-parametric estimation problems for which…

Methodology · Statistics 2022-01-19 Davide La Vecchia , Alban Moor , Olivier Scaillet

Max-stable processes are a common choice for modelling spatial extreme data as they arise naturally as the infinite-dimensional generalisation of multivariate extreme value theory. Statistical inference for such models is complicated by the…

Accurate prediction of wind speed and power is vital for enhancing the efficiency of wind energy systems. Numerous solutions have been implemented to date, demonstrating their potential to improve forecasting. Among these, deep learning is…

Machine Learning · Computer Science 2024-01-17 Mulomba Mukendi Christian , Yun Seon Kim , Hyebong Choi , Jaeyoung Lee , SongHee You

We propose a spectral clustering algorithm for analyzing the dependence structure of multivariate extremes. More specifically, we focus on the asymptotic dependence of multivariate extremes characterized by the angular or spectral measure…

Machine Learning · Statistics 2023-08-02 Marco Avella Medina , Richard A. Davis , Gennady Samorodnitsky

Identifying tropical cyclones that generate destructive storm tides for risk assessment, such as from large downscaled storm catalogs for climate studies, is often intractable because it entails many expensive Monte Carlo hydrodynamic…

Atmospheric and Oceanic Physics · Physics 2025-01-07 Grace Jiang , Jiangchao Qiu , Sai Ravela

Reducing the intensity of wind excitation via aerodynamic shape modification is a major strategy to mitigate the reaction forces on supertall buildings, reduce construction and maintenance costs, and improve the comfort of future occupants.…

Computational Engineering, Finance, and Science · Computer Science 2022-12-07 Anoop Kodakkal , Brendan Keith , Ustim Khristenko , Andreas Apostolatos , Kai-Uwe Bletzinger , Barbara Wohlmuth , Roland Wuechner

We introduce a novel regression model for the conditional left and right tail of a possibly heavy-tailed response. The proposed model can be used to learn the effect of covariates on an extreme value setting via a Lasso-type specification…

Methodology · Statistics 2021-08-11 Miguel de Carvalho , Soraia Pereira , Paula Pereira , Patrícia de Zea Bermudez

In statistical seismology, the Epidemic Type Aftershocks Sequence (ETAS) model is a branching process used world-wide to forecast earthquake intensity rates and reproduce many statistical features observed in seismicity catalogs. In this…

Geophysics · Physics 2023-01-09 Lorenzo Cristofaro , Roberto Garra , Enrico Scalas , Ilaria Spassiani

Precipitation exceedance probabilities are widely used in engineering design, risk assessment, and floodplain management. While common approaches like NOAA Atlas 14 assume that extreme precipitation characteristics are stationary over time,…

Applications · Statistics 2025-02-05 Yuchen Lu , Ben Seiyon Lee , James Doss-Gollin

This work is motivated by the analysis of the extremal behavior of buoy and satellite data describing wave conditions in the North Atlantic Ocean. The available data sets consist of time series of significant wave height (Hs) with irregular…

Applications · Statistics 2018-10-11 Nicolas Raillard , Pierre Ailliot , Jianfeng Yao

Leveraging the recently emerging geometric approach to multivariate extremes and the flexibility of normalising flows on the hypersphere, we propose a principled deep-learning-based methodology that enables accurate joint tail extrapolation…

Methodology · Statistics 2025-05-07 Lambert De Monte , Raphaël Huser , Ioannis Papastathopoulos , Jordan Richards

To advance automated detection of extreme weather events, which are increasing in frequency and intensity with climate change, we explore modifications to a novel light-weight Context Guided convolutional neural network architecture trained…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Romain Lacombe , Hannah Grossman , Lucas Hendren , David Lüdeke

Designs conditions for marine structures are typically informed by threshold-based extreme value analyses of oceanographic variables, in which excesses of a high threshold are modelled by a generalized Pareto (GP) distribution. Too low a…

Methodology · Statistics 2016-06-02 Paul Northrop , Nicolas Attalides , Philip Jonathan

Fast-turn around methods to predict airfoil trailing-edge noise are crucial for incorporating noise limitations into design optimization loops of several applications. Among these aeroacoustic predictive models, Amiet's theory offers the…

Detecting recurrent weather patterns and understanding the transitions between such regimes are key to advancing our knowledge on the low-frequency variability of the atmosphere and have important implications in terms of weather and…

Atmospheric and Oceanic Physics · Physics 2024-12-24 Sebastian Springer , Vera Melinda Galfi , Alessandro Laio , Valerio Lucarini

Extreme weather events epitomize high cost: to society through their physical impacts, and to computer servers that simulate them to assess risk and advance physical understanding. It costs hundreds of simulation years to sample a few…

Atmospheric and Oceanic Physics · Physics 2026-04-14 Justin Finkel , Paul A. O'Gorman

The extremal index $\theta$, a measure of the degree of local dependence in the extremes of a stationary process, plays an important role in extreme value analyses. We estimate $\theta$ semiparametrically, using the relationship between the…

Methodology · Statistics 2016-06-02 Paul J. Northrop

We present a statistical model for the unconditional mean tracks of hurricanes. Our model is a semi-parametric scheme that averages together observed hurricane displacements. It has a single parameter that defines the averaging length…

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

In this paper we propose an autoregressive wild bootstrap method to construct confidence bands around a smooth deterministic trend. The bootstrap method is easy to implement and does not require any adjustments in the presence of missing…

Methodology · Statistics 2019-12-12 Marina Friedrich , Stephan Smeekes , Jean-Pierre Urbain

We study distributional robustness in the context of Extreme Value Theory (EVT). We provide a data-driven method for estimating extreme quantiles in a manner that is robust against incorrect model assumptions underlying the application of…

Statistics Theory · Mathematics 2020-06-09 Jose Blanchet , Fei He , Karthyek R. A. Murthy