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Related papers: Uniting Parametric Uncertainty and Tipping Diagram…

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The global ocean meridional overturning circulation (GMOC) is central for ocean transport and climate variations. However, a comprehensive picture of its historical mean state and variability remains vague due to limitations in modelling…

Many natural systems undergo critical transitions, i.e. sudden shifts from one dynamical regime to another. In the climate system, the atmospheric boundary layer can experience sudden transitions between fully turbulent states and…

Atmospheric and Oceanic Physics · Physics 2020-08-26 Amandine Kaiser , Davide Faranda , Sebastian Krumscheid , Danijel Belušić , Nikki Vercauteren

The theory of alternative stable states and tipping points has garnered substantial attention in the last several decades. It predicts potential critical transitions from one ecosystem state to a completely different state under increasing…

Pattern Formation and Solitons · Physics 2024-09-11 Swarnendu Banerjee , Mara Baudena , Paul Carter , Robbin Bastiaansen , Arjen Doelman , Max Rietkerk

Many network analysis and graph learning techniques are based on models of random walks which require to infer transition matrices that formalize the underlying stochastic process in an observed graph. For weighted graphs, it is common to…

Methodology · Statistics 2022-10-28 Vincenzo Perri , Luka V. Petrović , Ingo Scholtes

A classical scenario for tipping is that a dynamical system experiences a slow parameter drift across a fold tipping point, caused by a run-away positive feedback loop. We study what happens if one turns around after one has crossed the…

Dynamical Systems · Mathematics 2019-01-21 Paul Ritchie , Ozkan Karabacak , Jan Sieber

'A trustworthy representation of uncertainty is desirable and should be considered as a key feature of any machine learning method' (Huellermeier and Waegeman, 2021). This conclusion of Huellermeier et al. underpins the importance of…

Computer Vision and Pattern Recognition · Computer Science 2025-05-01 Dominik Werner Wolf , Alexander Braun , Markus Ulrich

A geometric representation for multivariate extremes, based on the shapes of scaled sample clouds in light-tailed margins and their so-called limit sets, has recently been shown to connect several existing extremal dependence concepts.…

Methodology · Statistics 2023-11-03 Jennifer Wadsworth , Ryan Campbell

The Atlantic Meridional Overturning Circulation (AMOC) exerts a major influence on global climate. There is much debate about whether the current strong AMOC may collapse as a result of anthropogenic forcing and/or internal variability.…

Atmospheric and Oceanic Physics · Physics 2025-01-24 R. Chapman , P. Ashwin , J. Baker , R. A. Wood

We develop Bayesian state space methods for modelling changes to the mean level or temporal correlation structure of an observed time series due to intermittent coupling with an unobserved process. Novel intervention methods are proposed to…

Applications · Statistics 2019-02-08 Philip G. Sansom , Daniel B. Williamson , David B. Stephenson

Model Predictive Control (MPC) has shown to be a successful method for many applications that require control. Especially in the presence of prediction uncertainty, various types of MPC offer robust or efficient control system behavior. For…

Systems and Control · Electrical Eng. & Systems 2021-06-17 Tim Brüdigam , Jie Zhan , Dirk Wollherr , Marion Leibold

Based on suggested interactions of potential tipping elements in the Earth's climate and in ecological systems, tipping cascades as possible dynamics are increasingly discussed and studied as their activation would impose a considerable…

Tropical cyclones (TCs), driven by heat exchange between the air and sea, pose a substantial risk to many communities around the world. Accurate characterization of the subsurface ocean thermal response to TC passage is crucial for accurate…

Applications · Statistics 2024-03-18 Addison J. Hu , Mikael Kuusela , Ann B. Lee , Donata Giglio , Kimberly M. Wood

Changes in the parameters of dynamical systems can cause the state of the system to shift between different qualitative regimes. These shifts, known as bifurcations, are critical to study as they can indicate when the system is about to…

Dynamical Systems · Mathematics 2024-02-06 Sunia Tanweer , Firas A. Khasawneh , Elizabeth Munch , Joshua R. Tempelman

Stochastic motion of particles in a highly unstable potential generates a number of diverging trajectories leading to undefined statistical moments of the particle position. This makes experiments challenging and breaks down a standard…

We introduce a new method to identify phase boundaries in physical systems. It is based on training a predictive model such as a neural network to infer a physical system's parameters from its state. The deviation of the inferred parameters…

Statistical Mechanics · Physics 2019-06-12 Frank Schäfer , Niels Lörch

Atmospheric blocking events are quasi-stationary high-pressure systems that disrupt the typical paths of polar and subtropical air currents, often producing prolonged extreme weather events such as summer heat waves or winter cold spells.…

Graphics · Computer Science 2026-01-05 Mingzhe Li , Peer Nowack , Bei Wang

We present a novel quasi-Bayesian method to weight multiple dynamical models by their skill at capturing both potentially non-linear trends and first-order autocorrelated variability of the underlying process, and to make weighted…

Applications · Statistics 2019-04-18 Roman Olson , Soon-Il An , Yanan Fan , Jason P. Evans

A climate state close to a tipping point will have a degenerate linear response to perturbations, which can be associated with extreme values of the equilibrium climate sensitivity (ECS). In this paper we contrast linearized…

Atmospheric and Oceanic Physics · Physics 2021-01-21 Peter Ashwin , Anna S. von der Heydt

Forecast systems in science and technology are increasingly moving beyond point prediction toward methods that produce full predictive distributions of future outcomes y, conditional on high-dimensional and complex sequences of inputs x.…

Machine Learning · Statistics 2026-03-13 Elizabeth Cucuzzella , Rafael Izbicki , Ann B. Lee

Deep learning-based tropical cyclone (TC) forecasting methods have demonstrated significant potential and application advantages, as they feature much lower computational cost and faster operation speed than numerical weather prediction…

Machine Learning · Computer Science 2026-04-03 Qixiang Li , Yuan Zhou , Shuwei Huo , Chong Wang , Xiaofeng Li