1 citations · 1 across the 4 of their papers we have counts for
4 papers
Weak-form Extended Dynamic Mode Decomposition
Christopher W. Curtis, David M. Bortz
In this work, we develop a weak-form version of Extended Dynamic Mode Decomposition that we call WEDMD. We establish a number of analytic results about the method and show explicit…
Empirical Discovery of Multi-Scale Transfer of Information in Dynamical Systems
Christopher W. Curtis, Erik M. Bollt
In this work, we quantify the time scales and information flow associated with multiscale energy transfer in a weakly turbulent system. This is done through a greedy optimization a…
Forecasting Local Ionospheric Parameters Using Transformers
Daniel J. Alford-Lago, Christopher W. Curtis, Alexander T. Ihler +2
We present a novel method for forecasting key ionospheric parameters using transformer-based neural networks. The model provides accurate forecasts and uncertainty quantification o…
Entropic Regression DMD (ERDMD) Discovers Informative Sparse and Nonuniformly Time Delayed Models
Christopher W. Curtis, Erik Bollt, Daniel Jay Alford-Lago
In this work, we present a method which determines optimal multi-step dynamic mode decomposition (DMD) models via entropic regression, which is a nonlinear information flow detecti…