TDA Mapper
Point cloud → Mapper graph: cover intervals, cluster, connect overlapping clusters
Dataset
Circle
Torus
Figure-8
Clusters
Random
Points:
200
Cover intervals:
8
Overlap %:
50
%
Cluster ε:
0.15
Lens:
x-coord
Regenerate
Top: point cloud colored by
cover interval assignment.
Bottom: Mapper graph.
Nodes = clusters, edges =
shared points.
Mapper (Singh-Mémoli-Carlsson
2007) reveals topology of data.