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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

Catastrophic losses caused by natural disasters receive a growing concern about the severe rise in magnitude and frequency. The constructions of insurance and financial management scheme become increasingly necessary to diversify the…

Risk Management · Quantitative Finance 2021-12-02 Chengxiu Ling , Jiayi Li , Yixuan Liu , Zhiyan Cai

Mitigating the risk arising from extreme events is a fundamental goal with many applications, such as the modelling of natural disasters, financial crashes, epidemics, and many others. To manage this risk, a vital step is to be able to…

Machine Learning · Computer Science 2021-03-16 Siddharth Bhatia , Arjit Jain , Bryan Hooi

In recent years, climate extremes such as floods have created significant environmental and economic hazards for Australia. Deep learning methods have been promising for predicting extreme climate events; however, large flooding events…

Machine Learning · Computer Science 2025-02-12 Rohitash Chandra , Arpit Kapoor , Siddharth Khedkar , Jim Ng , R. Willem Vervoort

Reliable river flow forecasting is an essential component of flood risk management and early warning systems. It enables improved emergency response coordination and is critical for protecting infrastructure, communities, and ecosystems…

Signal Processing · Electrical Eng. & Systems 2026-01-15 Gabriele Bertoli , Kai Schroeter , Rossella Arcucci , Enrica Caporali

When extreme weather events affect large areas, their regional to sub-continental spatial scale is important for their impacts. We propose a novel machine learning (ML) framework that integrates spatial extreme-value theory to model weather…

Applications · Statistics 2025-05-29 Jonathan Koh , Daniel Steinfeld , Olivia Martius

The purpose of this paper is to illustrate new techniques for computing multiday extreme precipitation taken from recent theoretical advancements in extreme value theory in the framework of dynamical systems, using historical precipitation…

Dynamical Systems · Mathematics 2024-03-18 Ruethaichanok Kardkasem , Meagan Carney

High-resolution flood probability maps are instrumental for assessing flood risk but are often limited by the availability of historical data. Additionally, producing simulated data needed for creating probabilistic flood maps using…

Machine Learning · Computer Science 2025-03-19 Lipai Huang , Federico Antolini , Ali Mostafavi , Russell Blessing , Matthew Garcia , Samuel D. Brody

Extreme events occur across the natural, engineering, and socioeconomic sciences, where rare but high-impact episodes can lead to disproportionate consequences that pose major challenges for prediction and risk management. Existing studies…

Dynamical Systems · Mathematics 2026-05-22 Charlotte Moser , Nan Chen , Marios Andreou

We propose a framework for studying predictability of extreme events in complex systems. Major conceptual elements -- direct cascading or fragmentation, spatial dynamics, and external driving -- are combined in a classical age-dependent…

Adaptation and Self-Organizing Systems · Physics 2007-08-14 Andrei Gabrielov , Vladimir Keilis-Borok , Ilya Zaliapin

We propose and compare methods for the analysis of extreme events in complex systems governed by PDEs that involve random parameters, in situations where we are interested in quantifying the probability that a scalar function of the…

Optimization and Control · Mathematics 2025-08-12 Shanyin Tong , Eric Vanden-Eijnden , Georg Stadler

In this paper, we present synthetic data generation framework for flood hazard detection system. For high fidelity and quality, we characterize several real-world properties into virtual world and simulate the flood situation by controlling…

Computer Vision and Pattern Recognition · Computer Science 2025-02-14 YoonJe Kang , Yonghoon Jung , Wonseop Shin , Bumsoo Kim , Sanghyun Seo

This book provides a comprehensive introduction for the study of extreme events in the context of dynamical systems. The introduction provides a broad overview of the interdisciplinary research area of extreme events, underlining its…

Solving decision problems in complex, stochastic environments is often achieved by estimating the expected outcome of decisions via Monte Carlo sampling. However, sampling may overlook rare, but important events, which can severely impact…

Machine Learning · Statistics 2023-05-16 Lachlan Gibson , Marcus Hoerger , Dirk Kroese

Extreme weather events stemming from climate change can cause significant damage and disruption to power systems. Failure to mitigate and adapt to climate change and its cascading effects can lead to short and long term issues. The profound…

Applied Physics · Physics 2022-09-22 Rouzbeh Shirvani , Tarannom Parhizkar

Machine learning classification methods usually assume that all possible classes are sufficiently present within the training set. Due to their inherent rarities, extreme events are always under-represented and classifiers tailored for…

Methodology · Statistics 2025-06-12 Juliette Legrand , Philippe Naveau , Marco Oesting

Modeling extreme precipitation and temperature is vital for understanding the impacts of climate change, as hazards like intense rainfall and record-breaking temperatures can result in severe consequences, including floods, droughts, and…

Methodology · Statistics 2026-01-13 Remy MacDonald , Benjamin Seiyon Lee , John Foley , Justin Lee

Extreme value analysis is an essential methodology in the study of rare and extreme events, which hold significant interest in various fields, particularly in the context of environmental sciences. Models that employ the exceedances of…

Methodology · Statistics 2025-07-16 Lorenzo Dell'Oro , Carlo Gaetan

The areal modeling of the extremes of a natural process such as rainfall or temperature is important in environmental statistics; for example, understanding extreme areal rainfall is crucial in flood protection. This article reviews recent…

Methodology · Statistics 2012-08-17 A. C. Davison , S. A. Padoan , M. Ribatet

The hazard of pluvial flooding is largely influenced by the spatial and temporal dependence characteristics of precipitation. When extreme precipitation possesses strong spatial dependence, the risk of flooding is amplified due to catchment…

Applications · Statistics 2020-08-03 Gregory P. Bopp , Benjamin A. Shaby , Chris E. Forest , Alfonso Mejía