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Developing methods for detecting tipping phenomena at an early stage is an important problem in various fields such as ecology, medicine, and economics. A tipping phenomenon is characterized by a rapid transition resulting from the…

Dynamical Systems · Mathematics 2025-11-25 Yuta Miyauchi , Masahiro Ikeda , Yoshinobu Kawahara

A generic saddle-node bifurcation is proposed to modelize fast transitions of finite amplitude arising in geophysical (and perhaps other) contexts, when they result from the intrinsic dynamics of the system. The fast transition is…

Chaotic Dynamics · Physics 2012-09-10 Yves Pomeau , Martine Le Berre

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

Topological Data Analysis (TDA) has emerged as a powerful tool for extracting meaningful features from complex data structures, driving significant advancements in fields such as neuroscience, biology, machine learning, and financial…

Machine Learning · Computer Science 2025-04-02 ZiXin Lin , Nur Fariha Syaqina Zulkepli

Tipping points have been shown to be ubiquitous, both in models and empirically in a range of physical and biological systems. The question of how tipping points cascade through systems has been less well studied and is an important one. A…

Dynamical Systems · Mathematics 2020-11-19 Abhishek Mallela , Alan Hastings

Noisy labels are both inevitable and problematic in machine learning methods, as they negatively impact models' generalization ability by causing overfitting. In the context of learning with noise, the transition matrix plays a crucial role…

Machine Learning · Computer Science 2025-03-26 Jiahui Li , Tai-Wei Chang , Kun Kuang , Ximing Li , Long Chen , Jun Zhou

With rising global temperatures Earth's tipping elements are becoming increasingly more vulnerable to crossing their critical thresholds. The reaching of such tipping points does not only impact other tipping elements through their…

Adaptation and Self-Organizing Systems · Physics 2025-05-08 Tom Bdolach , Jürgen Kurths , Serhiy Yanchuk

With the widespread application of personalized online services, click-through rate (CTR) prediction has received more and more attention and research. The most prominent features of CTR prediction are its multi-field categorical data…

Information Retrieval · Computer Science 2023-08-04 Jianghao Lin , Yanru Qu , Wei Guo , Xinyi Dai , Ruiming Tang , Yong Yu , Weinan Zhang

There is much interest in the phenomenon of rate-induced tipping, where a system changes abruptly when forcings change faster than some critical rate. Here, we demonstrate and analyse rate-induced tipping in the classic "Daisyworld" model.…

Dynamical Systems · Mathematics 2025-02-20 Constantin W. Arnscheidt , Hassan Alkhayuon

Bistable autonomous systems can be found inmany areas of science. When the intrinsic noise intensity is large, these systems exhibits stochastic transitions from onemetastable steady state to another. In electronic bistable memories, these…

Statistical Mechanics · Physics 2024-05-14 Léopold Van Brandt , Jean-Charles Delvenne

Tracking congestion throughout the network road is a critical component of Intelligent transportation network management systems. Understanding how the traffic flows and short-term prediction of congestion occurrence due to rush-hour or…

Machine Learning · Computer Science 2017-07-27 Mohammadhani Fouladgar , Mostafa Parchami , Ramez Elmasri , Amir Ghaderi

There have been significant recent advances in our understanding of the potential use and limitations of early-warning signs for predicting drastic changes, so called critical transitions or tipping points, in dynamical systems. A focus of…

Pattern Formation and Solitons · Physics 2015-03-06 Karna Gowda , Christian Kuehn

This work explores a dynamics-informed Temporal Fusion Transformer (TFT) as a data-driven surrogate for computationally intensive Earth system simulations. Focusing on multivariate time series describing global ocean transport, we…

Machine Learning · Computer Science 2026-05-21 Adeline Hillier , Jennifer Sleeman , Jay Brett , Caroline Tang , Jenelle Millison , Anand Gnanadesikan

Transient stability prediction is critically essential to the fast online assessment and maintaining the stable operation in power systems. The wide deployment of phasor measurement units (PMUs) promotes the development of data-driven…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Peiyuan Sun , Long Huo , Siyuan Liang , Xin Chen

Multistability is a phenomenon prevalent in many natural systems. In climate, for example, it allows the possibility of irreversible consequences on planetary scale as a result of climate change. Indeed, a climate ``tipping element'' is a…

Atmospheric and Oceanic Physics · Physics 2026-04-14 George Datseris , Johannes Lohmann , Oisín Hamilton , Jacob Haqq-Misra

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

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

Warning signs for tipping points (or critical transitions) have been very actively studied. Although the theory has been applied successfully in models and in experiments for many complex systems such as for tipping in climate systems,…

Dynamical Systems · Mathematics 2022-04-06 Christian Kuehn , Kerstin Lux , Alexandra Neamtu

Concept Drift has been extensively studied within the context of Stream Learning. However, it is often assumed that the deployed model's predictions play no role in the concept drift the system experiences. Closer inspection reveals that…

Machine Learning · Computer Science 2025-04-02 Brandon Gower-Winter , Georg Krempl , Sergey Dragomiretskiy , Tineke Jelsma , Arno Siebes

The spatiotemporal evolution of pulsating turbulent pipe flow was predicted by deep learning. A convolutional neural network (CNN) and long short-term memory (LSTM) were employed for long-term prediction by recursively predicting the local…

Fluid Dynamics · Physics 2026-01-01 Sota Kumazawa , Yasuhiro Yoshida , Tomohiro Nimura , Akira Murata , Kaoru Iwamoto