Title: The mapper algorithm and Reeb graphs
Abstract: This tutorial gives an introduction to the mapper algorithm in applied topology. The mapper algorithm can be thought of as an approximation of a Reeb graph of a space, when given only a finite data set sampled from that space. Please see the paper "Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition" for more details: http://dx.doi.org/10.2312/SPBG/SPBG07....
Notes: https://www.math.colostate.edu/~adams...