577 citations · 1.5k across the 23 of their papers we have counts for
4 papers · 1 filter
Randomized Projection Learning Method forDynamic Mode Decomposition
Sudam Surasinghe, Erik M. Bollt
A data-driven analysis method known as dynamic mode decomposition (DMD) approximates the linear Koopman operator on projected space. In the spirit of Johnson-Lindenstrauss Lemma, w…
Next Generation Reservoir Computing
Daniel J. Gauthier, Erik Bollt, Aaron Griffith +1
Reservoir computing is a best-in-class machine learning algorithm for processing information generated by dynamical systems using observed time-series data. Importantly, it require…
Emergent hierarchy through conductance-based node constraints
C. Tyler Diggans, Jeremie Fish, Erik Bollt
The presence of hierarchy in many real-world networks is not yet fully explained. Complex interaction networks are often coarse-grain models of vast modular networks, where tightly…
Globally optimal stretching foliations of dynamical systems reveal the organizing skeleton of intensive instabilities
Sanjeeva Balasuriya, Erik Bollt
Understanding instabilities in dynamical systems drives to the heart of modern chaos theory, whether forecasting or attempting to control future outcomes. Instabilities in the sens…