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Climate models robustly imply that some significant change in precipitation patterns will occur. Models consistently project that the intensity of individual precipitation events increases by approximately 6-7%/K, following the increase in…

Applications · Statistics 2016-12-21 Won Chang , Michael L. Stein , Jiali Wang , V. Rao Kotamarthi , Elisabeth J. Moyer

Bursty dynamics is a common temporal property of various complex systems in Nature but it also characterises the dynamics of human actions and interactions. At the phenomenological level it is a feature of all systems that evolve…

Physics and Society · Physics 2018-03-08 Márton Karsai , Hang-Hyun Jo , Kimmo Kaski

We propose a theory based on dynamical systems to explain and predict the occurrence of extreme events, of which critical transitions form a subset. In fast-slow nonlinear systems, we identify a cascade of events preceding extreme events:…

Chaotic Dynamics · Physics 2026-04-15 Riccardo Consonni , Luca Magri

Event time models predict occurrence times of an event of interest based on known features. Recent work has demonstrated that neural networks achieve state-of-the-art event time predictions in a variety of settings. However, standard event…

Machine Learning · Statistics 2020-04-06 Matthew Engelhard , Samuel Berchuck , Joshua D'Arcy , Ricardo Henao

Operations research (OR) approaches have been increasingly applied to model the resilience of a system to surprise events. In order to model a surprise event, one must have an understanding of its characteristics, which then become…

Computers and Society · Computer Science 2022-10-18 Thomas C. Sharkey , Steven Foster , Sudeep Hegde , Mary E. Kurz , Emily L. Tucker

Energy system models based on linear programming have been growing in size with the increasing need to model renewables with high spatial and temporal detail. Larger models lead to high computational requirements. Furthermore, seemingly…

Physics and Society · Physics 2022-11-23 Manuel Bröchin , Bryn Pickering , Tim Tröndle , Stefan Pfenninger

Despite the wide range of possible scenarios in the aftermath of a disruptive event, each community can make choices to improve its resilience, or its ability to bounce back. A resilient community is one that has prepared for, and can thus…

Social and Information Networks · Computer Science 2019-07-23 Ali Lenjani , Ilias Bilionis , Shirley Dyke , Chul Min Yeum , Ricardo Monteiro

The dynamical evolution of many economic, sociological, biological and physical systems tends to be dominated by a relatively small number of unexpected, large changes (`extreme events'). We study the large, internal changes produced in a…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. Lamper , S. Howison , N. F. Johnson

Diffusion of information, behavioral patterns or innovations follows diverse pathways depending on a number of conditions, including the structure of the underlying social network, the sensitivity to peer pressure and the influence of…

Physics and Society · Physics 2015-11-25 Zhongyuan Ruan , Gerardo Iniguez , Marton Karsai , Janos Kertesz

Like all natural hazards, space weather exhibits occasional extreme events over timescales of decades to centuries. Historical events provoked much interest but had little economic impact. However, the widespread adoption of advanced…

Space Physics · Physics 2009-09-01 Mike Hapgood

Social media has become an important tool to share information about crisis events such as natural disasters and mass attacks. Detecting actionable posts that contain useful information requires rapid analysis of huge volume of data in…

Computation and Language · Computer Science 2020-11-03 Evangelia Spiliopoulou , Salvador Medina Maza , Eduard Hovy , Alexander Hauptmann

We propose a simple model that describes the dynamics of efficiencies of competing agents. Agents communicate leading to increase of efficiencies of underachievers, and an efficiency of each agent can increase or decrease irrespectively of…

Statistical Mechanics · Physics 2009-10-31 S. N. Majumdar , P. L. Krapivsky

The number of recurrent events before a terminating event is often of interest. For instance, death terminates an individual's process of rehospitalizations and the number of rehospitalizations is an important indicator of economic cost. We…

Methodology · Statistics 2021-12-30 Willem van den Boom , Maria De Iorio , Marta Tallarita

We consider the general problem of estimating probabilities which arise as a union of dependent events. We propose a flexible series of estimators for such probabilities, and describe variance reduction schemes applied to the proposed…

Probability · Mathematics 2016-10-10 Lars Nørvang Andersen , Patrick J. Laub , Leonardo Rojas-Nandayapa

We present a novel statistical treatment, the "metastatistics of extreme events", for calculating the frequency of extreme events. This approach, which is of general validity, is the proper statistical framework to address the problem of…

Applications · Statistics 2012-11-14 Massimiliano Ignaccolo , Marco Marani

Extreme events have low occurrence probabilities and display pronounced deviation from their average behaviour, such as earthquakes or power blackouts. Such extreme events occurring on the nodes of a complex network have been extensively…

Physics and Society · Physics 2022-02-09 Govind Gandhi , M. S. Santhanam

Very often when studying non-equilibrium systems one is interested in analysing dynamical behaviour that occurs with very low probability, so called rare events. In practice, since rare events are by definition atypical, they are often…

Statistical Mechanics · Physics 2021-01-06 Dominic C. Rose , Jamie F. Mair , Juan P. Garrahan

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

For many infectious disease outbreaks, the at-risk population changes their behavior in response to the outbreak severity, causing the transmission dynamics to change in real-time. Behavioral change is often ignored in epidemic modeling…

Methodology · Statistics 2023-10-25 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

Random population dynamics with catastrophes (events pertaining to possible elimination of a large portion of the population) has a long history in the mathematical literature. In this paper we study an ergodic model for random population…

Probability · Mathematics 2019-03-13 Iddo Ben-Ari , Alexander Roitershtein , Rinaldo B. Schinazi