51 citations · 174 across the 11 of their papers we have counts for
3 papers · 1 filter
Stochastically forced ensemble dynamic mode decomposition for forecasting and analysis of near-periodic systems
Daniel Dylewsky, David Barajas-Solano, Tong Ma +2
Time series forecasting remains a central challenge problem in almost all scientific disciplines. We introduce a novel load forecasting method in which observed dynamics are modele…
Sparse Identification of Slow Timescale Dynamics
Jason J. Bramburger, Daniel Dylewsky, J. Nathan Kutz
Multiscale phenomena that evolve on multiple distinct timescales are prevalent throughout the sciences. It is often the case that the governing equations of the persistent and appr…
Principal component trajectories for modeling spectrally-continuous dynamics as forced linear systems
Daniel Dylewsky, Eurika Kaiser, Steven L. Brunton +1
Delay embeddings of time series data have emerged as a promising coordinate basis for data-driven estimation of the Koopman operator, which seeks a linear representation for observ…