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Nonlinear dynamical systems may be exposed to tipping points, critical thresholds at which small changes in the external inputs or in the systems parameters abruptly shift the system to an alternative state with a contrasting dynamical…

Chaotic Dynamics · Physics 2016-10-07 Everton S. Medeiros , Iberê L. Caldas , Murilo S. Baptista , Ulrike Feudel

Reasoning models improve their problem-solving ability through inference-time scaling, allocating more compute via longer token budgets. Identifying which reasoning traces are likely to succeed remains a key opportunity: reliably predicting…

Artificial Intelligence · Computer Science 2025-10-14 Martina G. Vilas , Safoora Yousefi , Besmira Nushi , Eric Horvitz , Vidhisha Balachandran

Maintaining stability in feedback systems, from aircraft and autonomous robots to biological and physiological systems, relies on monitoring their behavior and continuously adjusting their inputs. Incremental damage can make such control…

Bank crisis is challenging to define but can be manifested through bank contagion. This study presents a comprehensive framework grounded in nonlinear time series analysis to identify potential early warning signals (EWS) for impending…

Risk Management · Quantitative Finance 2023-10-17 Shijia Song , Handong Li

Methods to detect the emergence of infectious diseases, and approach to the "critical transition" RE = 1, have to potential to avert substantial disease burden by facilitating preemptive actions like vaccination campaigns. Early warning…

Other Quantitative Biology · Quantitative Biology 2025-04-16 Callum R. K. Arnold , Matthew J. Ferrari

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

Change-point detection methods are proposed for the case of temporary failures, or transient changes, when an unexpected disorder is ultimately followed by a readjustment and return to the initial state. A base distribution of the…

Statistics Theory · Mathematics 2021-12-14 Baron Michael , Malov Sergey

Many dynamical systems exhibit abrupt transitions or tipping as the control parameter is varied. In scenarios where the parameter is varied continuously, the rate of change of control parameter greatly affects the performance of early…

Pattern Formation and Solitons · Physics 2021-01-29 Induja Pavithran , R. I. Sujith

To predict a critical transition due to parameter drift without relying on model is an outstanding problem in nonlinear dynamics and applied fields. A closely related problem is to predict whether the system is already in or if the system…

Machine Learning · Computer Science 2020-12-04 Ling-Wei Kong , Hua-Wei Fan , Celso Grebogi , Ying-Cheng Lai

One way to warn of forthcoming critical transitions in Earth system components is using observations to detect declining system stability. It has also been suggested to extrapolate such stability changes into the future and predict tipping…

Geophysics · Physics 2024-08-14 Maya Ben-Yami , Andreas Morr , Sebastian Bathiany , Niklas Boers

Early warning systems (EWS) are predictive tools at the center of recent efforts to improve graduation rates in public schools across the United States. These systems assist in targeting interventions to individual students by predicting…

Computers and Society · Computer Science 2023-09-19 Juan C. Perdomo , Tolani Britton , Moritz Hardt , Rediet Abebe

Many dynamical systems, including power systems, recover from perturbations more slowly as they approach critical transitions---a phenomenon known as critical slowing down. If the system is stochastically forced, autocorrelation and…

Physics and Society · Physics 2015-04-23 Goodarz Ghanavati , Paul D. H. Hines , Taras I. Lakoba , Eduardo Cotilla-Sanchez

The predictability of errors in deterministic temperature forecasts is investigated. More precisely, the aim is to issue warnings whenever the differences between forecast and verification exceed a given threshold. The warnings are…

Atmospheric and Oceanic Physics · Physics 2011-12-08 S. Hallerberg , J. Bröcker , H. Kantz , L. A. Smith

A catastrophic collapse of the Atlantic Meridional Overturning Circulation (AMOC) will have serious impacts on global climate. Based on eight AMOC proxies across the Atlantic basin Boers claimed to have found Early Warning Signals (EWS)…

Atmospheric and Oceanic Physics · Physics 2023-12-22 Xianyao Chen , Ka-Kit Tung

The future behavioural fate of a forced nonlinear system can depend sensitively on the forcing profile as well as natural fluctuations within the system. This is especially the case for rate-induced tipping, where the forcing pushes the…

Dynamical Systems · Mathematics 2026-05-18 Paul D. L. Ritchie , Sneha Kachhara , Peter Ashwin

Encouraged by decision makers' appetite for future information on topics ranging from elections to pandemics, and enabled by the explosion of data and computational methods, model based forecasts have garnered increasing influence on a…

Applications · Statistics 2022-07-22 Carl Boettiger

Conformal prediction is a popular method to construct prediction intervals with marginal coverage guarantees from black-box machine learning models. In applications with potentially high-impact events, such as flooding or financial crises,…

Methodology · Statistics 2026-04-02 Olivier C. Pasche , Henry Lam , Sebastian Engelke

Summary 1. Infectious disease outbreaks in plants threaten ecosystems, agricultural crops and food trade. Currently, several fungal diseases are affecting forests worldwide, posing a major risk to tree species, habitats and consequently…

Populations and Evolution · Quantitative Biology 2018-12-18 S. Orozco-Fuentes , G. Griffiths , M. J. Holmes , R. Ettelaie , J. Smith , A. W. Baggaley , N. G. Parker

The problem of detecting the presence of a signal that can lead to a disaster is studied. A decision-maker collects data sequentially over time. At some point in time, called the change point, the distribution of data changes. This change…

Signal Processing · Electrical Eng. & Systems 2023-03-07 Tim Brucks , Taposh Banerjee , Rahul Mishra

Predictive policing systems are increasingly used to determine how to allocate police across a city in order to best prevent crime. Discovered crime data (e.g., arrest counts) are used to help update the model, and the process is repeated.…

Computers and Society · Computer Science 2017-12-25 Danielle Ensign , Sorelle A. Friedler , Scott Neville , Carlos Scheidegger , Suresh Venkatasubramanian