Primer: Analyzing scientific data with topological data analysis
Dept. of Mathematics, University of Texas at Austin
I'll give a gentle introduction to the techniques and core ideas of topological data analysis (TDA), with a focus on the application of these methods to scientific data. I will emphasize the integration of TDA methods with statistics. My goal is to communicate what we can (and cannot) expect TDA to tell us and when TDA is likely to be a meaningful and robust analytic tool.