1 code implementation • 9 Nov 2022 • Alexander Wikner, Joseph Harvey, Michelle Girvan, Brian R. Hunt, Andrew Pomerance, Thomas Antonsen, Edward Ott
In this article, we systematically examine the technique of adding noise to the ML model input during training to promote stability and improve prediction accuracy.
no code implementations • 7 Oct 2021 • Daniel Canaday, Andrew Pomerance, Michelle Girvan
Recent research has established the effectiveness of machine learning for data-driven prediction of the future evolution of unknown dynamical systems, including chaotic systems.
no code implementations • 5 Oct 2020 • Daniel Canaday, Andrew Pomerance, Daniel J Gauthier
We propose and demonstrate a nonlinear control method that can be applied to unknown, complex systems where the controller is based on a type of artificial neural network known as a reservoir computer.
no code implementations • 10 Feb 2020 • Alexander Wikner, Jaideep Pathak, Brian Hunt, Michelle Girvan, Troy Arcomano, Istvan Szunyogh, Andrew Pomerance, Edward Ott
We consider the commonly encountered situation (e. g., in weather forecasting) where the goal is to predict the time evolution of a large, spatiotemporally chaotic dynamical system when we have access to both time series data of previous system states and an imperfect model of the full system dynamics.
no code implementations • 1 Oct 2019 • Aaron Griffith, Andrew Pomerance, Daniel J. Gauthier
We explore the hyperparameter space of reservoir computers used for forecasting of the chaotic Lorenz '63 attractor with Bayesian optimization.