Extreme events in dynamical systems and random walkers: A review
Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …
contexts ranging from climate to brain. An observable that deviates significantly from its long …
Using machine learning to predict extreme events in complex systems
D Qi, AJ Majda - Proceedings of the National Academy of …, 2020 - National Acad Sciences
Extreme events and the related anomalous statistics are ubiquitously observed in many
natural systems, and the development of efficient methods to understand and accurately …
natural systems, and the development of efficient methods to understand and accurately …
Model error, information barriers, state estimation and prediction in complex multiscale systems
AJ Majda, N Chen - Entropy, 2018 - mdpi.com
Complex multiscale systems are ubiquitous in many areas. This research expository article
discusses the development and applications of a recent information-theoretic framework as …
discusses the development and applications of a recent information-theoretic framework as …
Statistical dynamical model to predict extreme events and anomalous features in shallow water waves with abrupt depth change
Understanding and predicting extreme events and their anomalous statistics in complex
nonlinear systems are a grand challenge in climate, material, and neuroscience as well as …
nonlinear systems are a grand challenge in climate, material, and neuroscience as well as …
Strategies for reduced-order models for predicting the statistical responses and uncertainty quantification in complex turbulent dynamical systems
AJ Majda, D Qi - SIAM Review, 2018 - SIAM
Turbulent dynamical systems characterized by both a high-dimensional phase space and a
large number of instabilities are ubiquitous among many complex systems in science and …
large number of instabilities are ubiquitous among many complex systems in science and …
Distance dependent competitive interactions in a frustrated network of mobile agents
SN Chowdhury, S Majhi… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Diverse collective dynamics emerge in dynamical systems interacting on top of complex
network architectures. Along this line of research, temporal network has come out to be one …
network architectures. Along this line of research, temporal network has come out to be one …
A minimization principle for the description of modes associated with finite-time instabilities
We introduce a minimization formulation for the determination of a finite-dimensional, time-
dependent, orthonormal basis that captures directions of the phase space associated with …
dependent, orthonormal basis that captures directions of the phase space associated with …
A probabilistic decomposition-synthesis method for the quantification of rare events due to internal instabilities
We consider the problem of the probabilistic quantification of dynamical systems that have
heavy-tailed characteristics. These heavy-tailed features are associated with rare transient …
heavy-tailed characteristics. These heavy-tailed features are associated with rare transient …
Predicting fat-tailed intermittent probability distributions in passive scalar turbulence with imperfect models through empirical information theory
D Qi, AJ Majda - Communications in Mathematical Sciences, 2016 - nyuscholars.nyu.edu
Modelling extreme events is a central issue in climate science and engineering. The
capacity of imperfect models to capture intermittent behavior with fat-tailed probability …
capacity of imperfect models to capture intermittent behavior with fat-tailed probability …
Probabilistic response and rare events in Mathieu׳ s equation under correlated parametric excitation
MA Mohamad, TP Sapsis - Ocean Engineering, 2016 - Elsevier
We derive an analytical approximation to the probability distribution function (pdf) for the
response of Mathieu׳ s equation under parametric excitation by a random process with a …
response of Mathieu׳ s equation under parametric excitation by a random process with a …