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One of the goals of climate science is to characterize the statistics of extreme and potentially dangerous events in the present and future climate. Extreme events like heat waves, droughts, or floods due to persisting rains are…

Atmospheric and Oceanic Physics · Physics 2020-01-08 Francesco Ragone , Freddy Bouchet

Studying event time series is a powerful approach for analyzing the dynamics of complex dynamical systems in many fields of science. In this paper, we describe the method of event coincidence analysis to provide a framework for quantifying…

Physics and Society · Physics 2016-07-06 Jonathan F. Donges , Carl-Friedrich Schleussner , Jonatan F. Siegmund , Reik V. Donner

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…

We introduce a new formulation of structural causal models for extremes, called the extremal structural causal model (eSCM). Unlike conventional structural causal models, where randomness is governed by a probability distribution, eSCMs use…

Statistics Theory · Mathematics 2026-05-27 Shuyang Bai , Fei Fang , Tiandong Wang

The approaches, based on the negative binomial model for the distribution of duration of the wet periods measured in days, are proposed to the definition of extreme precipitation. This model demonstrates excellent fit with real data and…

Methodology · Statistics 2018-11-30 V. Yu. Korolev , A. K. Gorshenin , K. P. Belyaev

Our planet is facing increasingly frequent extreme events, which pose major risks to human lives and ecosystems. Recent advances in machine learning (ML), especially with foundation models (FMs) trained on extensive datasets, excel in…

Machine Learning · Computer Science 2025-05-14 Shan Zhao , Zhitong Xiong , Jie Zhao , Xiao Xiang Zhu

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

Extreme precipitation wreaks havoc throughout the world, causing billions of dollars in damage and uprooting communities, ecosystems, and economies. Accurate extreme precipitation prediction allows more time for preparation and disaster…

Machine Learning · Computer Science 2022-02-01 Weichen Huang

The increasing frequency of extreme weather events poses significant risks to power distribution systems, leading to widespread outages and severe economic and social consequences. This paper presents a novel simulation framework for…

Systems and Control · Electrical Eng. & Systems 2025-02-13 Xuesong Wang , Shuo Yuan , Sharaf K. Magableh , Oraib Dawaghreh , Caisheng Wang , Le Yi Wang

In recent years, the monitoring and study of natural hazards have gained significant attention, particularly due to climate change, which exacerbates incidents like floods, droughts, storm surges, and landslides. Together with the constant…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-03 Leonardo Pelonero , Fabio Vitello , Eva Sciacca , Mauro Imbrosciano , Salvatore Scavo , Ugo Becciani

The estimation of extreme flood quantiles is challenging due to the relative scarcity of extreme data compared to typical target return periods. Several approaches have been developed over the years to face this challenge, including…

Applications · Statistics 2016-02-17 Anne Sabourin , Benjamin Renard

We present a stochastic mean-reverting jump-diffusion model to simulate rainfall time series and validate it using long-term half-hourly rain fall data from the North-East region of India. The model captures the intermittent and…

Statistical Mechanics · Physics 2026-04-10 Joya GhoshDastider , D. Pal , Pankaj Kumar Mishra

In this paper, we discuss the emergence of extreme events in a parametrically driven non-polynomial mechanical system with a velocity-dependent potential. We confirm the occurrence of extreme events from the probability distribution…

Statistical Mechanics · Physics 2021-06-22 S. Sudharsan , A. Venkatesan , P. Muruganandam , M. Senthilvelan

Extreme events frequently occur in real-world time series and often carry significant practical implications. In domains such as climate and healthcare, these events, such as floods, heatwaves, or acute medical episodes, can lead to serious…

Machine Learning · Computer Science 2025-10-24 Quan Li , Wenchao Yu , Suhang Wang , Minhua Lin , Lingwei Chen , Wei Cheng , Haifeng Chen

Long-tail and rare event problems become crucial when autonomous driving algorithms are applied in the real world. For the purpose of evaluating systems in challenging settings, we propose a generative framework to create safety-critical…

Robotics · Computer Science 2020-07-24 Wenhao Ding , Baiming Chen , Minjun Xu , Ding Zhao

Modelling the extremal dependence of bivariate variables is important in a wide variety of practical applications, including environmental planning, catastrophe modelling and hydrology. The majority of these approaches are based on the…

Methodology · Statistics 2024-06-27 C. J. R. Murphy-Barltrop , J. L. Wadsworth , E. F. Eastoe

Survival analysis, or time-to-event modelling, is a classical statistical problem that has garnered a lot of interest for its practical use in epidemiology, demographics or actuarial sciences. Recent advances on the subject from the point…

Machine Learning · Computer Science 2021-07-28 Guillaume Ausset , Tom Ciffreo , Francois Portier , Stephan Clémençon , Timothée Papin

Nonparametric resampling methods such as Direct Sampling are powerful tools to simulate new datasets preserving important data features such as spatial patterns from observed datasets while using only minimal assumptions. However, such…

Methodology · Statistics 2020-04-08 Thomas Opitz , Denis Allard , Grégoire Mariéthoz

Multivariate extreme value analysis quantifies the probability and magnitude of joint extreme events. River discharges from the upper Danube River basin provide a challenging dataset for such analysis because the data, which is measured on…

Methodology · Statistics 2025-04-14 Aiden Farrell , Emma F. Eastoe , Clement Lee

We propose Echo State Networks (ESNs) to predict the statistics of extreme events in a turbulent flow. We train the ESNs on small datasets that lack information about the extreme events. We asses whether the networks are able to extrapolate…

Fluid Dynamics · Physics 2022-04-13 Alberto Racca , Luca Magri
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