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math.DS2022★ 3 cited
The spatiotemporal coupling in delay-coordinates dynamic mode decomposition
Emil Bronstein, Aviad Wiegner, Doron Shilo +1
Dynamic mode decomposition (DMD) is a leading tool for equation-free analysis of high-dimensional dynamical systems from observations. In this work, we focus on a combination of de…
math.DS2015★ 8 cited
Data-Driven Reduction for Multiscale Stochastic Dynamical Systems
Carmeline J. Dsilva, Ronen Talmon, C. William Gear +2
Multiple time scale stochastic dynamical systems are ubiquitous in science and engineering, and the reduction of such systems and their models to only their slow components is ofte…