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This work addresses the data-driven forecasting of extreme events in the airfoil flow. These events may be seen as examples of the kind of unsteady and intermittent dynamics relevant to the flow around airfoils and wings in a variety of…

Fluid Dynamics · Physics 2023-03-14 Benedikt Barthel , Themistoklis Sapsis

When a dataset contains forecasts on unscheduled events, such as natural catastrophes, outcomes may be censored or ``hidden'' since some events have not yet occurred. This article finds that this can lead to a selection bias which affects…

Methodology · Statistics 2025-12-09 Niklas V. Lehmann

Developing methods to predict disastrous natural phenomena is more important than ever, and tornadoes are among the most dangerous ones in nature. Due to the unpredictability of the weather, counteracting them is not an easy task and today…

Machine Learning · Computer Science 2022-08-12 Davide Alessandro Coccomini , Giuliano Zara

It is frequently asserted that in a chaotic system two initially close points will separate at an exponential rate governed by the largest global Lyapunov exponent. Local Lyapunov exponents, however, are more directly relevant to…

Systems of FitzHugh-Nagumo units with different coupling topologies are capable of self-generating and -terminating strong deviations from their regular dynamics that can be regarded as extreme events due to their rareness and recurrent…

Chaotic Dynamics · Physics 2014-08-28 Rajat Karnatak , Gerrit Ansmann , Ulrike Feudel , Klaus Lehnertz

Many natural and physical processes display long memory and extreme events. In these systems, the measured time series is invariably contaminated by noise. As the extreme events display large deviation from the mean behaviour, the noise…

Cellular Automata and Lattice Gases · Physics 2021-11-23 Dayal Singh , M. S. Santhanam

We develop a discrete-event modeling framework that captures the progression of geophysical systems toward catastrophic failure through sequences of distinct damage events. By representing system evolution as a succession of temporally…

Geophysics · Physics 2025-07-31 Qinghua Lei , Didier Sornette

Extreme events, such as market crashes, natural disasters, and pandemics, are rare but catastrophic, often triggering cascading failures across interconnected systems. Accurate prediction and early warning can help minimize losses and…

Machine Learning · Computer Science 2025-06-10 Jingyi Gu , Xuan Zhang , Guiling Wang

Understanding multivariate extreme events play a crucial role in managing the risks of complex systems since extremes are governed by their own mechanisms. Conditional on a given variable exceeding a high threshold (e.g.\ traffic…

Methodology · Statistics 2021-06-28 Valentin Courgeau , Almut E. D. Veraart

To advance automated detection of extreme weather events, which are increasing in frequency and intensity with climate change, we explore modifications to a novel light-weight Context Guided convolutional neural network architecture trained…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Romain Lacombe , Hannah Grossman , Lucas Hendren , David Lüdeke

Many natural and socio-economic systems are characterized by power-law distributions that make the occurrence of extreme events not negligible. Such events are sometimes referred to as Black Swans, but a quantitative definition of a Black…

Physics and Society · Physics 2022-10-06 Giordano De Marzo , Andrea Gabrielli , Andrea Zaccaria , Luciano Pietronero

Power-law probability distributions are widely used to model extreme statistical events in complex systems, with applications to a vast array of natural phenomena ranging from earthquakes to stock market crashes to pandemics. We show that…

Quantum Physics · Physics 2026-04-08 Wai-Keong Mok

A network of coupled time-varying systems, where individual nodes are interconnected through links, is a modeling framework widely used by many disciplines. For identical nodes displaying a complex behavior known as chaos, clusters of nodes…

Chaotic Dynamics · Physics 2025-04-11 G. Tirabassi , R. de Palma Aristides , C. Masoller , D. J. Gauthier

Consider two stationary time series with heavy-tailed marginal distributions. We aim to detect whether they have a causal relation, that is, if a change in one causes a change in the other. Usual methods for causal discovery are not well…

Statistics Theory · Mathematics 2023-11-20 Juraj Bodik , Zbyněk Pawlas , Milan Paluš

Prediction of events is the challenge in many different disciplines, from meteorology to finance; the more this task is difficult, the more a system is {\it complex}. Nevertheless, even according to this restricted definition, a general…

chao-dyn · Physics 2007-05-23 Maurizio Serva

Extreme events are the major weather-related hazard for humanity. It is then of crucial importance to have a good understanding of their statistics and to be able to forecast them. However, lack of sufficient data makes their study…

Atmospheric and Oceanic Physics · Physics 2025-03-13 Valeria Mascolo , Alessandro Lovo , Corentin Herbert , Freddy Bouchet

Rare events in stochastic processes with heavy-tailed distributions are controlled by the big jump principle, which states that a rare large fluctuation is produced by a single event and not by an accumulation of coherent small deviations.…

Statistical Mechanics · Physics 2020-03-13 Raffaella Burioni , Alessandro Vezzani

Observing and controlling complex networks are of paramount interest for understanding complex physical, biological and technological systems. Recent studies have made important advances in identifying sensor or driver nodes, through which…

In this paper we provide a connection between the geometrical properties of a chaotic dynamical system and the distribution of extreme values. We show that the extremes of so-called physical observables are distributed according to the…

Statistical Mechanics · Physics 2015-06-12 Valerio Lucarini , Tobias Kuna , Davide Faranda , Jeroen Wouters

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