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Computational Topology Techniques for Characterizing Time Series Data Ìý

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Date and time:Ìý

Thursday, October 29, 2015 - 2:00pm

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ECCR 257

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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.Ìý 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.