Data exploration using Mapper
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I am currently working on a paper to build a new mathematical technique for Topological Data Analysis. I used this technique to build a TDA mapper tool. This post is to give basic intuition about the mapper. Mapper is used to get a higher-level understanding of the structure of the data. It is used to visualize the shape of the data in higher dimensions. Given a mapper representation of $3$D point cloud (Points are uniformly distributed) belongs to a set of animals (horse, lion, cat, camel, elephant, flamingo). Each ball in the mapper represents a cluster and the edge between balls implies common points between corresponding clusters (intuition not definition of the mapper).