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We study the behaviour at tipping points close to (smoothed) non-smooth fold bifurcations in one-dimensional oscillatory forced systems. The focus is the Stommel-Box, and related climate models, which are piecewise-smooth continuous…

Dynamical Systems · Mathematics 2023-05-18 Chris Budd , Rachel Kuske

Systems biology models are useful models of complex biological systems that may require a large amount of experimental data to fit each model's parameters or to approximate a likelihood function. These models range from a few to thousands…

Quantitative Methods · Quantitative Biology 2024-07-12 Vincent D. Zaballa , Elliot E. Hui

Ecosystem approach to fisheries requires a thorough understanding of fishing impacts on ecosystem status and processes as well as predictive tools such as ecosystem models to provide useful information for management. The credibility of…

Quantitative Methods · Quantitative Biology 2024-04-30 Ricardo Oliveros-Ramos , Philippe Verley , Yunne-Jai Shin

A promising approach to improve climate-model simulations is to replace traditional subgrid parameterizations based on simplified physical models by machine learning algorithms that are data-driven. However, neural networks (NNs) often lead…

Atmospheric and Oceanic Physics · Physics 2021-04-07 Janni Yuval , Paul A. O'Gorman , Chris N. Hill

How will the climate system respond to anthropogenic forcings? One approach to this question relies on climate model projections. Current climate projections are considerably uncertain. Characterizing and, if possible, reducing this…

Applications · Statistics 2014-08-01 Won Chang , Murali Haran , Roman Olson , Klaus Keller

We consider dynamical systems evolving near an equilibrium statistical state where the interest is in modelling long term behavior that is consistent with thermodynamic constraints. We adjust the distribution using an entropy-optimizing…

Fluid Dynamics · Physics 2014-11-25 Keith Myerscough , Jason Frank , Benedict Leimkuhler

Ecosystem models are often used to predict the consequences of management decisions in applied ecology, including fisheries management and threatened species conservation. These models are high-dimensional, parameter-rich, and nonlinear,…

Populations and Evolution · Quantitative Biology 2024-01-22 Larissa Lubiana Botelho , Cailan Jeynes-Smith , Sarah Vollert , Michael Bode

With a changing climate, the frequency and intensity of extreme weather events are likely to increase, posing a threat to infrastructure systems' resilience. The response of infrastructure systems to localised failures depends on whether…

Systems and Control · Electrical Eng. & Systems 2022-11-21 Qianqian Li , Giuliano Punzo , Craig Robson , Hadi Arbabi , Martin Mayfield

The ever increasing complexity of real-time control systems results in significant deviations in the timing of sensing and actuation, which may lead to degraded performance or even instability. In this paper we present a method to analyze…

Systems and Control · Electrical Eng. & Systems 2020-04-27 Maximilian Gaukler , Günter Roppenecker , Peter Ulbrich

Seasonal forecast of Arctic sea ice concentration is key to mitigate the negative impact and assess potential opportunities posed by the rapid decline of sea ice coverage. Seasonal prediction systems based on climate models often show…

Machine Learning · Computer Science 2026-02-10 Parsa Gooya , Reinel Sospedra-Alfonso

We present a novel, model-free, and data-driven methodology for controlling complex dynamical systems into previously unseen target states, including those with significantly different and complex dynamics. Leveraging a parameter-aware…

Chaotic Dynamics · Physics 2026-02-13 Daniel Köglmayr , Alexander Haluszczynski , Christoph Räth

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

Earth System Models (ESMs) are the primary tools for investigating future Earth system states at time scales from decades to centuries, especially in response to anthropogenic greenhouse gas release. State-of-the-art ESMs can reproduce the…

Machine Learning · Computer Science 2023-06-05 Maximilian Gelbrecht , Alistair White , Sebastian Bathiany , Niklas Boers

Accurate control of quantum systems requires precise measurement of the parameters that govern the dynamics, including control fields and interactions with the environment. Parameters will drift in time and experiments interleave protocols…

Quantum Physics · Physics 2020-02-11 Swarnadeep Majumder , Leonardo Andreta de Castro , Kenneth R. Brown

Climate change is accelerating the frequency and severity of unprecedented events, deviating from established patterns. Predicting these out-of-distribution (OOD) events is critical for assessing risks and guiding climate adaptation. While…

Machine Learning · Computer Science 2025-09-16 Maria Conchita Agana Navarro , Geng Li , Theo Wolf , María Pérez-Ortiz

Development of robust dynamical systems and networks such as autonomous aircraft systems capable of accomplishing complex missions faces challenges due to the dynamically evolving uncertainties coming from model uncertainties, necessity to…

Representing and quantifying uncertainty in physical parameterisations is a central challenge in weather and climate modelling, and approaches are often developed separately for different timescales. Here, we introduce a unified framework…

Atmospheric and Oceanic Physics · Physics 2025-12-01 Laura A. Mansfield , Hannah M. Christensen

Reliable uncertainty estimates are an important tool for helping autonomous agents or human decision makers understand and leverage predictive models. However, existing approaches to estimating uncertainty largely ignore the possibility of…

Machine Learning · Computer Science 2020-05-22 Sangdon Park , Osbert Bastani , James Weimer , Insup Lee

Nonlinear regression is a useful statistical tool, relating observed data and a nonlinear function of unknown parameters. When the parameter-dependent nonlinear function is computationally intensive, a straightforward regression analysis by…

Applications · Statistics 2009-01-26 Dorin Drignei , Chris E. Forest , Doug Nychka

As autonomous systems become more complex and integral in our society, the need to accurately model and safely control these systems has increased significantly. In the past decade, there has been tremendous success in using deep learning…

Robotics · Computer Science 2024-09-10 Hao Wang , Javier Borquez , Somil Bansal
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