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Early warning signals (EWSs) for complex dynamical systems aim to anticipate tipping points before they occur. While signals computed from time series data, such as temporal variance, are useful for this task, they are costly to obtain in…

Physics and Society · Physics 2025-05-13 Neil G. MacLaren , Kazuyuki Aihara , Naoki Masuda

The development of robust Early Warning Signals (EWS) is necessary to quantify the risk of crossing tipping points in the present-day climate change. Classically, EWS are statistical measures based on time series of climate state variables,…

Atmospheric and Oceanic Physics · Physics 2025-03-25 Laure Moinat , Jérôme Kasparian , Maura Brunetti

Dryland vegetation ecosystems are known to be susceptible to critical transitions between alternative stable states when subjected to external forcing. Such transitions are often discussed through the framework of bifurcation theory, but…

Computational Physics · Physics 2025-05-16 Daniel Dylewsky , Sonia Kéfi , Madhur Anand , Chris T. Bauch

In this topical review, we present a brief overview of the different methods and measures to detect the occurrence of critical transitions in complex systems. We start by introducing the mechanisms that trigger critical transitions, and how…

Physics and Society · Physics 2023-07-05 Sandip V. George , Sneha Kachhara , G. Ambika

Social ecological systems are often difficult to investigate and manage because of their inherent complexity1. Small variations in external drivers can lead to abrupt changes associated with instabilities and bifurcations in the underlying…

Populations and Evolution · Quantitative Biology 2017-02-08 Samir Suweis , Paolo D'Odorico

Early Warning Signals (EWSs) are vital for implementing preventive measures before a disease turns into a pandemic. While new diseases exhibit unique behaviors, they often share fundamental characteristics from a dynamical systems…

Machine Learning · Computer Science 2025-01-15 Reza Miry , Amit K. Chakraborty , Russell Greiner , Mark A. Lewis , Hao Wang , Tianyu Guan , Pouria Ramazi

Successfully anticipating sudden major changes in complex systems is a practical concern. Such complex systems often form a heterogeneous network, which may show multistage transitions in which some nodes experience a regime shift earlier…

Physics and Society · Physics 2023-06-27 Neil G. MacLaren , Prosenjit Kundu , Naoki Masuda

This study constructs an integrated early warning system (EWS) that identifies and predicts stock market turbulence. Based on switching ARCH (SWARCH) filtering probabilities of the high volatility regime, the proposed EWS first classifies…

Econometrics · Economics 2019-12-02 Peiwan Wang , Lu Zong , Ye Ma

Early warning signals (EWSs) forewarn a sudden transition (or tipping) from a desirable state to an undesirable state. However, we observe that EWSs detect an impending tipping past bifurcation points when control parameters are varied…

Chaotic Dynamics · Physics 2024-08-15 Rohit Radhakrishnan , Induja Pavithran , Valerie Livina , Jürgen Kurths , R. I. Sujith

Time is at a premium for recurrent network dynamics, and particularly so when they are stochastic and correlated: the quality of inference from such dynamics fundamentally depends on how fast the neural circuit generates new samples from…

Neurons and Cognition · Quantitative Biology 2014-04-24 Guillaume Hennequin , Laurence Aitchison , Máté Lengyel

Many natural and man-made systems are prone to critical transitions -- abrupt and potentially devastating changes in dynamics. Deep learning classifiers can provide an early warning signal (EWS) for critical transitions by learning generic…

Quantitative Methods · Quantitative Biology 2024-02-12 Thomas M. Bury , Daniel Dylewsky , Chris T. Bauch , Madhur Anand , Leon Glass , Alvin Shrier , Gil Bub

The timely detection of disease outbreaks through reliable early warning signals (EWSs) is indispensable for effective public health mitigation strategies. Nevertheless, the intricate dynamics of real-world disease spread, often influenced…

Machine Learning · Computer Science 2024-03-26 Amit K. Chakraborty , Shan Gao , Reza Miry , Pouria Ramazi , Russell Greiner , Mark A. Lewis , Hao Wang

The realization that complex systems such as ecological communities can collapse or shift regimes suddenly and without rapid external forcing poses a serious challenge to our understanding and management of the natural world. The potential…

Populations and Evolution · Quantitative Biology 2013-05-30 Carl Boettiger , Noam Ross , Alan Hastings

Early exiting is an effective paradigm for improving the inference efficiency of deep networks. By constructing classifiers with varying resource demands (the exits), such networks allow easy samples to be output at early exits, removing…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Yizeng Han , Yifan Pu , Zihang Lai , Chaofei Wang , Shiji Song , Junfen Cao , Wenhui Huang , Chao Deng , Gao Huang

Recent works reveal that re-calibrating the intermediate activation of adversarial examples can improve the adversarial robustness of a CNN model. The state of the arts [Baiet al., 2021] and [Yanet al., 2021] explores this feature at the…

Computer Vision and Pattern Recognition · Computer Science 2022-02-25 Zhi-Yuan Zhang , Di Liu

In this work, we study early-warning signs for stochastic partial differential equations (SPDEs), where the linearization around a steady state has continuous spectrum. The studied warning sign takes the form of qualitative changes in the…

Probability · Mathematics 2023-07-27 Paolo Bernuzzi , Antonia Düx , Christian Kühn

Financial markets of emerging economies are vulnerable to extreme and cascading information spillovers, surges, sudden stops and reversals. With this in mind, we develop a new online early warning system (EWS) to detect what is referred to…

Econometrics · Economics 2025-05-21 Artem Kraevskiy , Artem Prokhorov , Evgeniy Sokolovskiy

Despite their success, deep networks have been shown to be highly susceptible to perturbations, often causing significant drops in accuracy. In this paper, we investigate model robustness on perturbed inputs by studying the performance of…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Yong Guo , David Stutz , Bernt Schiele

Wireless sensor networks (WSNs) are employed across a wide range of industrial applications where ultra-low power consumption is a critical prerequisite. At the same time, these systems must maintain a certain level of determinism to ensure…

Networking and Internet Architecture · Computer Science 2025-12-04 Stefano Scanzio , Gabriele Formis , Tullio Facchinetti , Gianluca Cena

In the wake of the SARS-CoV-2 pandemic, there has been heightened interest from applied mathematicians in infectious disease modelling. Modelling efforts often focus on predicting whether diseases are likely to be eliminated or, instead,…

Populations and Evolution · Quantitative Biology 2026-01-22 Joshua Looker , Kat S. Rock , Louise Dyson
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