109 citations · 848 across the 38 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
physics.data-an2014★ 6 cited
Analog Forecasting with Dynamics-Adapted Kernels
Zhizhen Zhao, Dimitrios Giannakis
Analog forecasting is a nonparametric technique introduced by Lorenz in 1969 which predicts the evolution of states of a dynamical system (or observables defined on the states) by…
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…