85 citations · 337 across the 15 of their papers we have counts for
3 papers · 1 filter
A new method for choosing parameters in delay reconstruction-based forecast strategies
Joshua Garland, Ryan G. James, Elizabeth Bradley
Delay-coordinate reconstruction is a proven modeling strategy for building effective forecasts of nonlinear time series. The first step in this process is the estimation of good va…
Exploring the Topology of Dynamical Reconstructions
Joshua Garland, Elizabeth Bradley, James D. Meiss
Computing the state-space topology of a dynamical system from scalar data requires accurate reconstruction of those dynamics and construction of an appropriate simplicial complex f…
Prediction in Projection
Joshua Garland, Elizabeth Bradley
Prediction models that capture and use the structure of state-space dynamics can be very effective. In practice, however, one rarely has access to full information about that struc…