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20232026
most citedData-driven state-space and Koopman operator models of coherent state dynamics on invariant manifolds

19 citations · 26 across the 8 of their papers we have counts for

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physics.flu-dyn2023★ 19 cited

Data-driven state-space and Koopman operator models of coherent state dynamics on invariant manifolds

C. Ricardo Constante-Amores, Michael D. Graham

The accurate simulation of complex dynamics in fluid flows demands a substantial number of degrees of freedom, i.e. a high-dimensional state space. Nevertheless, the swift attenuat…

cs.LG2023

Enhancing Predictive Capabilities in Data-Driven Dynamical Modeling with Automatic Differentiation: Koopman and Neural ODE Approaches

C. Ricardo Constante-Amores, Alec J. Linot, Michael D. Graham

Data-driven approximations of the Koopman operator are promising for predicting the time evolution of systems characterized by complex dynamics. Among these methods, the approach k…