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Extreme temperature events have traditionally been detected assuming a unimodal distribution of temperature data. We found that surface temperature data can be described more accurately with a multimodal rather than a unimodal distribution.…

Atmospheric and Oceanic Physics · Physics 2023-09-14 Aytaç Paçal , Birgit Hassler , Katja Weigel , M. Levent Kurnaz , Michael F. Wehner , Veronika Eyring

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

Motivated by the analysis of extreme rainfall data, we introduce a general Bayesian hierarchical model for estimating the probability distribution of extreme values of intermittent random sequences, a common problem in geophysical and…

Methodology · Statistics 2020-05-26 Enrico Zorzetto , Antonio Canale , Marco Marani

To directly simulate rare events using atomistic molecular dynamics is a significant challenge in computational biophysics. Well-established enhanced-sampling techniques do exist to obtain the thermodynamic functions for such systems. But…

Statistical Mechanics · Physics 2020-07-21 Dhiman Ray , Ioan Andricioaei

In this work, a data-driven modeling framework of switched dynamical systems under time-dependent switching is proposed. The learning technique utilized to model system dynamics is Extreme Learning Machine (ELM). First, a method is…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Weiming Xiang

Time-to-event models are a popular tool to analyse data where the outcome variable is the time to the occurrence of a specific event of interest. Here we focus on the analysis of time-to-event outcomes that are either intrisically discrete…

Applications · Statistics 2017-04-14 Moritz Berger , Matthias Schmid

Extreme learning machine (ELM) as a neural network algorithm has shown its good performance, such as fast speed, simple structure etc, but also, weak robustness is an unavoidable defect in original ELM for blended data. We present a new…

Machine Learning · Computer Science 2014-09-24 Bo Han , Bo He , Rui Nian , Mengmeng Ma , Shujing Zhang , Minghui Li , Amaury Lendasse

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

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

Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

Methodology · Statistics 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby

The El Ni\~{n}o-Southern Oscillation (ENSO) is a dominant mode of interannual climate variability, yet the mechanisms limiting its long-lead predictability remain unclear. Here we develop a physics-guided Deep Echo State Network (DESN) that…

Climate change is leading to an increase in extreme weather events, causing significant environmental damage and loss of life. Early detection of such events is essential for improving disaster response. In this work, we propose…

Computer Vision and Pattern Recognition · Computer Science 2025-06-16 Heng Fang , Hossein Azizpour

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

Extreme weather events pose escalating risks to global society, underscoring the urgent need to unravel their underlying physical mechanisms. Yet the prevailing expert-driven, labor-intensive diagnostic paradigm has created a critical…

Artificial Intelligence · Computer Science 2025-11-27 Zhe Jiang , Jiong Wang , Xiaoyu Yue , Zijie Guo , Wenlong Zhang , Fenghua Ling , Wanli Ouyang , Lei Bai

To capture the extremal behaviour of complex environmental phenomena in practice, flexi\-ble techniques for modelling tail behaviour are required. In this paper, we introduce a variety of such methods, which were used by the Lancopula…

Because of the impact of extreme heat waves and heat domes on society and biodiversity, their study is a key challenge. We specifically study long-lasting extreme heat waves, which are among the most important for climate impacts. Physics…

Machine Learning · Computer Science 2022-01-14 Valérian Jacques-Dumas , Francesco Ragone , Pierre Borgnat , Patrice Abry , Freddy Bouchet

Detecting rare events, those defined to give rise to high impact but have a low probability of occurring, is a challenge in a number of domains including meteorological, environmental, financial and economic. The use of machine learning to…

Applications · Statistics 2022-09-13 Santhosh Narayanan , Carsten Maple , Mark Hooper

Rare event simulation and estimation for systems in equilibrium are among the most challenging topics in molecular dynamics. As was shown by Jarzynski and others, nonequilibrium forcing can theoretically be used to obtain equilibrium rare…

Optimization and Control · Mathematics 2015-06-11 Carsten Hartmann , Christof Schütte

We introduce a novel enhanced sampling approach named OPES flooding for calculating the kinetics of rare events from atomistic molecular dynamics simulation. This method is derived from the On-the-fly-Probability-Enhanced-Sampling (OPES)…

Chemical Physics · Physics 2022-10-31 Dhiman Ray , Narjes Ansari , Valerio Rizzi , Michele Invernizzi , Michele Parrinello

In environmental science applications, extreme events frequently exhibit a complex spatio-temporal structure, which is difficult to describe flexibly and estimate in a computationally efficient way using state-of-art parametric…

Methodology · Statistics 2022-12-22 Marco Oesting , Raphaël Huser