M 417 - Topological Data Analysis3 credits (Hrs: 3 Lec.) This course will discuss: Topology basics, cell complexes, the Euler characteristic, simplicial homology; creating a filtered simplicial complex from a data set (point cloud); topological persistence - single and multiparameter persistent homology; dimensionality reduction and clustering techniques; TDA software.
Prerequisite(s): M 333 or instructor permission.
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