Visualizing Clusters in Artificial Neural Networks Using Morse Theory
Figure 1
Illustration of the Mapper method applied points on an annulus with , single-linkage clustering, and level sets. Top row: (a) the annular data set, (b) its level sets, and (c) intersections of adjacent, overlapping level sets. Bottom row: (a) the topological model produced by Mapper, (b) its vertices showing clusters in level sets, and (c) its edges showing adjacent level sets that intersect nontrivially.
