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The potential for complex systems to exhibit tipping points in which an equilibrium state undergoes a sudden and often irreversible shift is well established, but prediction of these events using standard forecast modeling techniques is…

Atmospheric and Oceanic Physics · Physics 2022-12-07 Daniel Dylewsky , Timothy M. Lenton , Marten Scheffer , Thomas M. Bury , Christopher G. Fletcher , Madhur Anand , Chris T. Bauch

Sudden transitions in the state of a system are often undesirable in natural and human-made systems. Such transitions under fast variation of system parameters are called rate-induced tipping. We experimentally demonstrate rate-induced…

Applied Physics · Physics 2022-09-15 Induja Pavithran , P. R. Midhun , R. I. Sujith

Model-free and data-driven prediction of tipping point transitions in nonlinear dynamical systems is a challenging and outstanding task in complex systems science. We propose a novel, fully data-driven machine learning algorithm based on…

Machine Learning · Computer Science 2023-12-12 Daniel Köglmayr , Christoph Räth

This review synthesizes recent advancements in understanding tipping points and cascading transitions within the Earth system, framing them through the lens of nonlinear dynamics and complexity science. It outlines the fundamental concepts…

Atmospheric and Oceanic Physics · Physics 2025-11-04 Sheng Fang , Ziyan Wang , Jürgen Kurths , Jingfang Fan

Nonlinear dynamical systems exposed to changing forcing can exhibit catastrophic transitions between alternative and often markedly different states. The phenomenon of critical slowing down (CSD) can be used to anticipate such transitions…

Machine Learning · Computer Science 2024-09-13 Yu Huang , Sebastian Bathiany , Peter Ashwin , Niklas Boers

In nonlinear dynamical systems, tipping refers to a critical transition from one steady state to another, typically catastrophic, steady state, often resulting from a saddle-node bifurcation. Recently, the machine-learning framework of…

Chaotic Dynamics · Physics 2026-04-09 Smita Deb , Zheng-Meng Zhai , Mulugeta Haile , Ying-Cheng Lai

A change points detection aims to catch an abrupt disorder in data distribution. Common approaches assume that there are only two fixed distributions for data: one before and another after a change point. Real-world data are richer than…

Machine Learning · Computer Science 2022-04-18 Alexander Stepikin , Evgenia Romanenkova , Alexey Zaytsev

Time series are all around in real-world applications. However, unexpected accidents for example broken sensors or missing of the signals will cause missing values in time series, making the data hard to be utilized. It then does harm to…

Machine Learning · Computer Science 2020-11-24 Chenguang Fang , Chen Wang

Time series anomaly detection has applications in a wide range of research fields and applications, including manufacturing and healthcare. The presence of anomalies can indicate novel or unexpected events, such as production faults, system…

Machine Learning · Computer Science 2024-09-04 Zahra Zamanzadeh Darban , Geoffrey I. Webb , Shirui Pan , Charu C. Aggarwal , Mahsa Salehi

In this paper we consider the machine learning (ML) task of predicting tipping point transitions and long-term post-tipping-point behavior associated with the time evolution of an unknown (or partially unknown), non-stationary, potentially…

Machine Learning · Computer Science 2023-03-08 Dhruvit Patel , Edward Ott

In many real-world application, e.g., speech recognition or sleep stage classification, data are captured over the course of time, constituting a Time-Series. Time-Series often contain temporal dependencies that cause two otherwise…

Machine Learning · Computer Science 2017-01-10 John Cristian Borges Gamboa

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

Deep learning promises performant anomaly detection on time-variant datasets, but greatly suffers from low availability of suitable training datasets and frequently changing tasks. Deep transfer learning offers mitigation by letting…

Machine Learning · Computer Science 2021-06-10 Benjamin Maschler , Tim Knodel , Michael Weyrich

Moments when a time series changes its behavior are called change points. Occurrence of change point implies that the state of the system is altered and its timely detection might help to prevent unwanted consequences. In this paper, we…

Machine Learning · Computer Science 2026-03-10 Mikhail Hushchyn , Kenenbek Arzymatov , Denis Derkach

Time series anomaly detection is usually formulated as finding outlier data points relative to some usual data, which is also an important problem in industry and academia. To ensure systems working stably, internet companies, banks and…

Machine Learning · Computer Science 2018-12-24 Zhang Rong , Dong Shandong , Nie Xin , Xiao Shiguang

Change point detection is a crucial aspect of analyzing time series data, as the presence of a change point indicates an abrupt and significant change in the process generating the data. While many algorithms for the problem of change point…

Machine Learning · Computer Science 2023-05-23 Mario Krause

Deep learning offers powerful tools for anticipating tipping points in complex systems, yet its potential for detecting flickering (noise-driven switching between coexisting stable states) remains unexplored. Flickering is a hallmark of…

Machine Learning · Computer Science 2025-09-08 Yazdan Babazadeh Maghsoodlo , Madhur Anand , Chris T. Bauch

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

Critical transitions are the abrupt shifts between qualitatively different states of a system, and they are crucial to understanding tipping points in complex dynamical systems across ecology, climate science, and biology. Detecting these…

Machine Learning · Computer Science 2026-03-06 Swadesh Pal , Roderick Melnik

Irregular sampling occurs in many time series modeling applications where it presents a significant challenge to standard deep learning models. This work is motivated by the analysis of physiological time series data in electronic health…

Machine Learning · Computer Science 2021-06-08 Satya Narayan Shukla , Benjamin M. Marlin
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