85 citations · 435 across the 22 of their papers we have counts for
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math.DS2018★ 2 cited
Prediction in Projection: A new paradigm in delay-coordinate reconstruction
Joshua Garland
Delay-coordinate embedding is a powerful, time-tested mathematical framework for reconstructing the dynamics of a system from a series of scalar observations. Most of the associate…
math.DS2015★ 50 cited
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…
math.DS2011★ 7 cited
Iterated Function System Models in Data Analysis: Detection and Separation
Zachary Alexander, Elizabeth Bradley, Joshua Garland +1
We investigate the use of iterated function system (IFS) models for data analysis. An IFS is a discrete dynamical system in which each time step corresponds to the application of o…