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Risk management is particularly concerned with extreme events, but analysing these events is often hindered by the scarcity of data, especially in a multivariate context. This data scarcity complicates risk management efforts. Various tools…

Methodology · Statistics 2026-01-15 Nisrine Madhar , Juliette Legrand , Maud Thomas

Hazard event sets, a collection of synthetic extreme events over a given period, are important for catastrophe modelling. This paper addresses the issue of generating event sets of extreme river flow for northern England and southern…

Applications · Statistics 2023-05-30 Christian Rohrbeck , Daniel Cooley

Extreme events gain the attention of researchers due to their utmost importance in various contexts ranging from finance to climatology. This brings such recurrent events to the limelight of attention in interdisciplinary research. A…

Data Analysis, Statistics and Probability · Physics 2022-05-18 Sayantan Nag Chowdhury , Arnob Ray , Syamal K. Dana , Dibakar Ghosh

Quantifying and predicting rare and extreme events persists as a crucial yet challenging task in understanding complex dynamical systems. Many practical challenges arise from the infrequency and severity of these events, including the…

Machine Learning · Statistics 2025-10-23 Kai Chang , Themistoklis P. Sapsis

In recent years, artificial intelligence (AI) has deeply impacted various fields, including Earth system sciences. Here, AI improved weather forecasting, model emulation, parameter estimation, and the prediction of extreme events. However,…

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

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

The frequency of disruptive and newly emerging threats (e.g. man-made attacks--cyber and physical attacks; extreme natural events--hurricanes, earthquakes, and floods) has escalated dramatically in the last decade. Impacts of these events…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Narayan Bhusal , Mukesh Gautam , Michael Abdelmalak , Mohammed Benidris

Extreme events, such as rogue waves, earthquakes and stock market crashes, occur spontaneously in many dynamical systems. Because of their usually adverse consequences, quantification, prediction and mitigation of extreme events are highly…

Chaotic Dynamics · Physics 2018-03-19 Mohammad Farazmand , Themistoklis P. Sapsis

Synthetically generated data can improve privacy, fairness, and data accessibility; however, it can be challenging in specialized scenarios such as survival analysis. One key challenge in this setting is censoring, i.e., the timing of an…

Machine Learning · Statistics 2025-08-07 Mohd Ashhad , Ricardo Henao

A leading goal for climate science and weather risk management is to accurately model both the physics and statistics of extreme events. These two goals are fundamentally at odds: the higher a computational model's resolution, the more…

Atmospheric and Oceanic Physics · Physics 2024-02-06 Justin Finkel , Paul A. O'Gorman

The ability to detect and classify rare occurrences in images has important applications - for example, counting rare and endangered species when studying biodiversity, or detecting infrequent traffic scenarios that pose a danger to…

Computer Vision and Pattern Recognition · Computer Science 2019-05-15 Sara Beery , Yang Liu , Dan Morris , Jim Piavis , Ashish Kapoor , Markus Meister , Neel Joshi , Pietro Perona

Many scientific and engineering problems require accurate models of dynamical systems with rare and extreme events. Such problems present a challenging task for data-driven modelling, with many naive machine learning methods failing to…

Machine Learning · Computer Science 2021-12-03 Samuel Rudy , Themistoklis Sapsis

Rare event prediction involves identifying and forecasting events with a low probability using machine learning (ML) and data analysis. Due to the imbalanced data distributions, where the frequency of common events vastly outweighs that of…

Artificial Intelligence · Computer Science 2024-10-08 Chathurangi Shyalika , Ruwan Wickramarachchi , Amit Sheth

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…

An extreme event is a sudden and violent change in the state of a nonlinear system. In fluid dynamics, extreme events can have adverse effects on the system's optimal design and operability, which calls for accurate methods for their…

Fluid Dynamics · Physics 2022-04-26 Alberto Racca , Luca Magri

The last decade has seen numerous record-shattering heatwaves in all corners of the globe. In the aftermath of these devastating events, there is interest in identifying worst-case thresholds or upper bounds that quantify just how hot…

Data Analysis, Statistics and Probability · Physics 2025-01-24 Mark D. Risser , Likun Zhang , Michael F. Wehner

The emergence of generative AI models has dramatically expanded the availability and use of synthetic data across scientific, industrial, and policy domains. While these developments open new possibilities for data analysis, they also raise…

Machine Learning · Statistics 2026-03-06 Ahmad Abdel-Azim , Ruoyu Wang , Xihong Lin

Extreme events are unusual and rare large-amplitude fluctuations that occur can unexpectedly in nonlinear dynamical systems. Events above the extreme event threshold of the probability distribution of a nonlinear process characterize…

Data Analysis, Statistics and Probability · Physics 2023-03-08 Premraj Durairaj , Sathiyadevi Kanagaraj , Suresh Kumarasamy , Karthikeyan Rajagopal

Events are occurrences in specific locations, time, and semantics that nontrivially impact either our society or the nature, such as civil unrest, system failures, and epidemics. It is highly desirable to be able to anticipate the…

Artificial Intelligence · Computer Science 2020-08-06 Liang Zhao
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