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.