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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

Distributed model predictive control methods for uncertain systems often suffer from considerable conservatism and can tolerate only small uncertainties due to the use of robust formulations that are amenable to distributed design and…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Simon Muntwiler , Kim P. Wabersich , Lukas Hewing , Melanie N. Zeilinger

Re-entrant spiral waves are observed in many different situations in nature, perhaps most importantly in excitable electrophysiological tissue where they are believed to be responsible for pathological conditions such as cardiac…

Dynamical Systems · Mathematics 2016-06-16 Petko Kitanov , Victor G. LeBlanc

Machine learning (ML) methods are becoming integral to scientific inquiry in numerous disciplines, such as material sciences. In this manuscript, we demonstrate how ML can be used to predict several properties in solid-state chemistry, in…

Materials Science · Physics 2020-11-24 Jean-Claude Crivello , Nataliya Sokolovska , Jean-Marc Joubert

We study the drift of spiral waves in a simple model of heterogeneous excitable medium, having gradients in local excitability or cellular coupling. For the first time, we report the anomalous drift of spiral waves towards regions having…

Pattern Formation and Solitons · Physics 2010-11-16 S. Sridhar , Sitabhra Sinha , Alexander. V. Panfilov

We present a straightforward and efficient way to control unstable robotic systems using an estimated dynamics model. Specifically, we show how to exploit the differentiability of Gaussian Processes to create a state-dependent linearized…

Robotics · Computer Science 2021-08-03 Ivan D. Jimenez Rodriguez , Ugo Rosolia , Aaron D. Ames , Yisong Yue

In this study, we investigate the suitability of dissipative particle dynamics (DPD) simulations to predict the dynamics of polymer chains in dilute polymer solutions, where the chain is represented by a set of beads connected by almost…

Soft Condensed Matter · Physics 2019-07-31 Praphul Kumar , Harishyam , Indranil Saha Dalal

In this study, deep learning is used to estimate kinetic parameters for modeling itaconic acid production based on real batch experiments conducted at different agitation speeds and reactor scales. Two deep learning strategies, namely…

Machine Learning · Computer Science 2026-04-27 Daria Fokina , Marco Baldan , Constantin Romankiewicz , Wolfgang Laudensack , Roland Ulber , Michael Bortz

This paper proposes a model-driven deep learning (MDDL)-based channel estimation and feedback scheme for wideband millimeter-wave (mmWave) massive hybrid multiple-input multiple-output (MIMO) systems, where the angle-delay domain channels'…

Information Theory · Computer Science 2022-01-20 Xisuo Ma , Zhen Gao , Feifei Gao , Marco Di Renzo

The use of machine learning to represent subgrid-scale (SGS) dynamics is now well established in weather forecasting and climate modelling. Recent advances have demonstrated that SGS models trained via ``online'' end-to-end learning --…

Fluid Dynamics · Physics 2025-11-19 Hugo Frezat , Thomas Gastine , Alexandre Fournier

Catastrophic failures of marine engines imply severe loss of functionality and destroy or damage the systems irreversibly. Being sudden and often unpredictable events, they pose a severe threat to navigation, crew, and passengers. The…

Artificial Intelligence · Computer Science 2026-03-16 Francesco Maione , Paolo Lino , Giuseppe Giannino , Guido Maione

Deep Reinforcement Learning (DRL) is applied to control a nonlinear, chaotic system governed by the one-dimensional Kuramoto-Sivashinsky (KS) equation. DRL uses reinforcement learning principles for the determination of optimal control…

Learning continuous-time stochastic dynamics is a fundamental and essential problem in modeling sporadic time series, whose observations are irregular and sparse in both time and dimension. For a given system whose latent states and…

Machine Learning · Computer Science 2021-04-30 Yingru Liu , Yucheng Xing , Xuewen Yang , Xin Wang , Jing Shi , Di Jin , Zhaoyue Chen

We demonstrate that a deep learning emulator for chaotic systems can forecast phenomena absent from training data. Using the Kuramoto-Sivashinsky and beta-plane turbulence models, we evaluate the emulator through scenarios probing the…

Machine Learning · Computer Science 2025-03-03 Ira J. S. Shokar , Peter H. Haynes , Rich R. Kerswell

We present a framework for constructing physics and causally constrained neural models of turbulent dynamical systems from data. We first formulate a finite-time flow map with strict energy-preserving nonlinearities for stable modeling of…

Chaotic Dynamics · Physics 2026-04-15 Fabrizio Falasca , Laure Zanna

Prediction and control of chemical mixing are vital for many scientific areas such as subsurface reactive transport, climate modeling, combustion, epidemiology, and pharmacology. Due to the complex nature of mixing in heterogeneous and…

Machine Learning · Computer Science 2021-12-15 N. V. Jagtap , M. K. Mudunuru , K. B. Nakshatrala

Purpose: To develop and assess a deep learning (DL) pipeline to learn dynamic MR image reconstruction from publicly available natural videos (Inter4K). Materials and Methods: Learning was performed for a range of DL architectures (VarNet,…

We forecast two different chaotic dynamics of the quasiperiodically forced logistic map using the well-known deep learning framework Long Short-Term Memory. We generate two data sets and use one in the training process and the other in the…

Machine Learning · Computer Science 2022-03-22 J. Meiyazhagan , M. Senthilvelan

Smoothed Dissipative Particle Dynamics (SDPD) is a mesoscopic method which allows to select the level of resolution at which a fluid is simulated. The aim of this work is to extend SDPD to chemically reactive systems.To this end, an…

Fluid Dynamics · Physics 2017-09-13 Gérôme Faure , Jean-Bernard Maillet

The supervised machine learning (ML) approach is applied to realize the trajectory-based nonadiabatic dynamics within the framework of the symmetrical quasi-classical dynamics method based on the Meyer-Miller mapping Hamiltonian (MM-SQC).…

Quantum Physics · Physics 2022-07-13 Kunni Lin , Jiawei Peng , Chao Xu , Feng Long Gu , Zhenggang Lan
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