373 citations · 417 across the 5 of their papers we have counts for
5 papers
Leveraging the Mathematics of Shape for Solar Magnetic Eruption Prediction
V. Deshmukh, T. E. Berger, E. Bradley +1
Current operational forecasts of solar eruptions are made by human experts using a combination of qualitative shape-based classification systems and historical data about flaring f…
Computational Topology Techniques for Characterizing Time-Series Data
Nicole Sanderson, Elliott Shugerman, Samantha Molnar +2
Topological data analysis (TDA), while abstract, allows a characterization of time-series data obtained from nonlinear and complex dynamical systems. Though it is surprising that s…
Nonlinear time-series analysis revisited
Elizabeth Bradley, Holger Kantz
In 1980 and 1981, two pioneering papers laid the foundation for what became known as nonlinear time-series analysis: the analysis of observed data---typically univariate---via dyna…
Simplicial Multivalued Maps and the Witness Complex for Dynamical Analysis of Time Series
Zachary Alexander, Elizabeth Bradley, James D. Meiss +1
Topology based analysis of time-series data from dynamical systems is powerful: it potentially allows for computer-based proofs of the existence of various classes of regular and c…
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…