Dynamical Systems Seminar: Liz Bradley

Computational Topology Techniques for Characterizing Time Series Data  

Liz Bradley

Department of Computer Science, University of Colorado Boulder

Date and time: 

Thursday, October 29, 2015 - 2:00pm

Location: 

ECCR 257

Abstract: 

Full and accurate reconstruction of dynamics from time-series data - e.g., via delay-coordinate embedding - is a real challenge, but useful information can be gleaned from incomplete embeddings. We apply computational topology to a sequence of lower-dimensional embeddings of the data.  Even though the full topology cannot be computed from these incomplete reconstructions, we conjecture that there are some results that can be computed from a SEQUENCE of such reconstructions, and that these are useful in time-series analysis.