109 citations · 848 across the 38 of their papers we have counts for
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math.DS2014★ 109 cited
Nonparametric forecasting of low-dimensional dynamical systems
Tyrus Berry, Dimitrios Giannakis, John Harlim
This letter presents a non-parametric modeling approach for forecasting stochastic dynamical systems on low-dimensional manifolds. The key idea is to represent the discrete shift m…
math.DS2014
Dynamics-Adapted Cone Kernels
Dimitrios Giannakis
We present a family of kernels for analysis of data generated by dynamical systems. These so-called cone kernels feature an explicit dependence on the dynamical vector field operat…