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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
Nonparametric Uncertainty Quantification for Stochastic Gradient Flows
Tyrus Berry, John Harlim
This paper presents a nonparametric statistical modeling method for quantifying uncertainty in stochastic gradient systems with isotropic diffusion. The central idea is to apply th…