109 citations · 243 across the 25 of their papers we have counts for
4 papers · 1 filter
Density Estimation on Manifolds with Boundary
Tyrus Berry, Timothy Sauer
Density estimation is a crucial component of many machine learning methods, and manifold learning in particular, where geometry is to be constructed from data alone. A significant…
Iterated Diffusion Maps for Feature Identification
Tyrus Berry, John Harlim
Recently, the theory of diffusion maps was extended to a large class of local kernels with exponential decay which were shown to represent various Riemannian geometries on a data s…
Semiparametric forecasting and filtering: correcting low-dimensional model error in parametric models
Tyrus Berry, John Harlim
Semiparametric forecasting and filtering are introduced as a method of addressing model errors arising from unresolved physical phenomena. While traditional parametric models are a…
Forecasting Turbulent Modes with Nonparametric Diffusion Models: Learning from noisy data
Tyrus Berry, John Harlim
In this paper, we apply a recently developed nonparametric modeling approach, the "diffusion forecast", to predict the time-evolution of Fourier modes of turbulent dynamical system…