Data-driven forecasting of high-dimensional chaotic systems with long short-term memory networks

Model-Free Prediction of Large Spatiotemporally Chaotic Systems from Data: A Reservoir Computing Approach

(2018) Jaideep Pathak et al.   PHYSICAL REVIEW LETTERS

Reduced-space Gaussian Process Regression for data-driven probabilistic forecast of chaotic dynamical systems

(2017) Zhong Yi Wan et al.   PHYSICA D-NONLINEAR PHENOMENA

Learning partial differential equations via data discovery and sparse optimization

(2017) Hayden Schaeffer   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator

(2017) Hassan Arbabi et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Data-driven prediction strategies for low-frequency patterns of North Pacific climate variability

(2016) Darin Comeau et al.   CLIMATE DYNAMICS

Reduced-order precursors of rare events in unidirectional nonlinear water waves

(2016) Will Cousins et al.   JOURNAL OF FLUID MECHANICS

Analog forecasting with dynamics-adapted kernels

(2016) Zhizhen Zhao et al.   NONLINEARITY

State estimation and prediction using clustered particle filters

(2016) Yoonsang Lee et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Discovering governing equations from data by sparse identification of nonlinear dynamical systems

(2016) Steven L. Brunton et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Multiresolution Dynamic Mode Decomposition

(2016) J. Nathan Kutz et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

A new hybrid enhanced local linear neuro-fuzzy model based on the optimized singular spectrum analysis and its application for nonlinear and chaotic time series forecasting

(2015) Majid Abdollahzade et al.   INFORMATION SCIENCES

A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

(2015) Matthew O. Williams et al.   JOURNAL OF NONLINEAR SCIENCE

Least squares shadowing sensitivity analysis of a modified Kuramoto–Sivashinsky equation

(2014) Patrick J. Blonigan et al.   CHAOS SOLITONS & FRACTALS

Quantification and prediction of extreme events in a one-dimensional nonlinear dispersive wave model

(2014) Will Cousins et al.   PHYSICA D-NONLINEAR PHENOMENA

Conceptual dynamical models for turbulence

(2014) A. J. Majda et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Reduced Models in Chemical Kinetics via Nonlinear Data-Mining

(2014) Eliodoro Chiavazzo et al.   Processes

Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems

(2013) Themistoklis P. Sapsis et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Empirical correction of a toy climate model

(2012) Nicholas A. Allgaier et al.   PHYSICAL REVIEW E

Echo State Gaussian Process

(2011) S. P. Chatzis et al.   IEEE TRANSACTIONS ON NEURAL NETWORKS

Recursive spectral analysis of natural time series based on eigenvector matrix perturbation for online applications

(2011) M. Mirmomeni et al.   IET Signal Processing

Online Multi-step Ahead Prediction of Time-Varying Solar and Geomagnetic Activity Indices via Adaptive Neurofuzzy Modeling and Recursive Spectral Analysis

(2011) Masoud Mirmomeni et al.   SOLAR PHYSICS

Introducing adaptive neurofuzzy modeling with online learning method for prediction of time-varying solar and geomagnetic activity indices

(2010) Masoud Mirmomeni et al.   EXPERT SYSTEMS WITH APPLICATIONS