Lipschitz Extensions and Higher-Order Metric Certificates

Wednesday, February 26, 2014 - 1:30pm - 2:30pm
Lind 409
Vin de Silva (Pomona College)
The traditional TDA (topological data analysis) pipeline converts data to a filtered simplicial complex, and the filtered simplicial complexes to a persistence diagram (PD). The PD can then be studied for information about the input data. This process can be recursed: given lots of data sets, each can be turned into a PD, and this collection of PDs can be viewed as a data set in diagram space. One can then build Cech or Vietoris-Rips complexes from this data.