The Mapper Algorithm and Reeb Graphs

Explore the mapper algorithm in applied topology through this 22-minute tutorial by the Applied Algebraic Topology Network. Gain an introduction to this powerful technique, which approximates Reeb graphs of spaces using finite data sets. Discover how the mapper algorithm can be applied to analyze high-dimensional data sets and perform 3D object recognition. Delve into the mathematical foundations and practical applications of this topological method, referencing the paper "Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition" for in-depth understanding. Access accompanying notes to reinforce your learning and grasp key concepts in this fascinating area of applied mathematics.

The mapper algorithm and Reeb graphs