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Extreme weather events pose significant challenges, thereby demanding techniques for accurate analysis and precise forecasting to mitigate its impact. In recent years, deep learning techniques have emerged as a promising approach for…

Atmospheric and Oceanic Physics · Physics 2023-08-23 Shikha Verma , Kuldeep Srivastava , Akhilesh Tiwari , Shekhar Verma

Various natural phenomena exhibit spatial extremal dependence at short spatial distances. However, existing models proposed in the spatial extremes literature often assume that extremal dependence persists across the entire domain. This is…

Methodology · Statistics 2024-05-01 Arnab Hazra , Raphaël Huser , David Bolin

Extreme values geostatistics make it possible to model the asymptotic behaviors of random phenomena which depends on space or time parameters. In this paper, we propose new models of the extremal coefficient within a spatial stationary…

Methodology · Statistics 2022-07-05 Ouoba Fabrice , Diakarya Barro , Hay Yoba Talkibing

Combining strengths from deep learning and extreme value theory can help describe complex relationships between variables where extreme events have significant impacts (e.g., environmental or financial applications). Neural networks learn…

Applications · Statistics 2023-10-06 Mitchell L. Krock , Julie Bessac , Michael L. Stein

Understanding droughts in a climate context remains a major challenge. Over the United States, different choices of observations and metrics have often produced diametrically opposite insights. This paper focuses on understanding and…

Atmospheric and Oceanic Physics · Physics 2015-12-31 Poulomi Ganguli , Auroop R. Ganguly

Generating accurate extremes from an observational data set is crucial when seeking to estimate risks associated with the occurrence of future extremes which could be larger than those already observed. Applications range from the…

Machine Learning · Statistics 2026-02-02 Nicolas Lafon , Philippe Naveau , Ronan Fablet

Accurate forecasting of extreme weather events such as heavy rainfall or storms is critical for risk management and disaster mitigation. Although high-resolution radar observations have spurred extensive research on nowcasting models,…

Machine Learning · Computer Science 2026-02-09 Changhoon Song , Teng Yuan Chang , Youngjoon Hong

Extreme events over large spatial domains may exhibit highly heterogeneous tail dependence characteristics, yet most existing spatial extremes models yield only one dependence class over the entire spatial domain. To accurately characterize…

Methodology · Statistics 2025-11-14 Muyang Shi , Likun Zhang , Mark D. Risser , Benjamin A. Shaby

Modeling nonstationarity that often prevails in extremal dependence of spatial data can be challenging, and typically requires bespoke or complex spatial models that are difficult to estimate. Inference for stationary and isotropic models…

Methodology · Statistics 2026-04-21 Xuanjie Shao , Jordan Richards , Raphael Huser

A geometric representation for multivariate extremes, based on the shapes of scaled sample clouds in light-tailed margins and their so-called limit sets, has recently been shown to connect several existing extremal dependence concepts.…

Methodology · Statistics 2023-11-03 Jennifer Wadsworth , Ryan Campbell

Machine learning is vital in high-stakes domains, yet conventional validation methods rely on averaging metrics like mean squared error (MSE) or mean absolute error (MAE), which fail to quantify extreme errors. Worst-case prediction…

Machine Learning · Computer Science 2025-04-01 Umberto Michelucci , Francesca Venturini

Extreme value statistics provides accurate estimates for the small occurrence probabilities of rare events. While theory and statistical tools for univariate extremes are well-developed, methods for high-dimensional and complex data sets…

Methodology · Statistics 2021-01-06 Sebastian Engelke , Jevgenijs Ivanovs

There is increasing evidence that global warming manifests itself in more frequent warm days and that heat waves will become more frequent. Presently, a formal definition of a heat wave is not agreed upon in the literature. To avoid this…

We present the methods employed by team `Uniofbathtopia' as part of the Data Challenge organised for the 13th International Conference on Extreme Value Analysis (EVA2023), including our winning entry for the third sub-challenge. Our…

Methodology · Statistics 2023-12-22 Henry Elsom , Matthew Pawley

In most risk assessment studies, it is important to accurately capture the entire distribution of the multivariate random vector of interest from low to high values. For example, in climate sciences, low precipitation events may lead to…

Downscaling is necessary to generate high-resolution observation data to validate the climate model forecast or monitor rainfall at the micro-regional level operationally. Dynamical and statistical downscaling models are often used to get…

Atmospheric and Oceanic Physics · Physics 2023-02-28 Bipin Kumar , Rajib Chattopadhyay , Manmeet Singh , Niraj Chaudhari , Karthik Kodari , Amit Barve

Then detection and identification of extreme weather events in large-scale climate simulations is an important problem for risk management, informing governmental policy decisions and advancing our basic understanding of the climate system.…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 Evan Racah , Christopher Beckham , Tegan Maharaj , Samira Ebrahimi Kahou , Prabhat , Christopher Pal

Naveau et al. (2016) have recently developed a class of methods, based on extreme-value theory (EVT), for capturing low, moderate, and heavy rainfall simultaneously, without the need to choose a threshold typical to EVT methods. We analyse…

Applications · Statistics 2018-04-25 Michael Bertolacci , Edward Cripps , Ori Rosen , Sally Cripps

We develop a deep convolutional neural network (DCNN) based framework for model-free prediction of the occurrence of extreme events both in time ("when") and in space ("where") in nonlinear physical systems of spatial dimension two. The…

Machine Learning · Computer Science 2022-04-01 Junjie Jiang , Zi-Gang Huang , Celso Grebogi , Ying-Cheng Lai

Gridded estimated rainfall intensity values at very high spatial and temporal resolution levels are needed as main inputs for weather prediction models to obtain accurate precipitation forecasts, and to verify the performance of…

Applications · Statistics 2009-01-23 Montserrat Fuentes , Brian Reich , Gyuwon Lee
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