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Stitch Fix for Mapper and Information Gains

5 May 2021
Youjia Zhou
Nathaniel Saul
Ilkin Safarli
Bala Krishnamoorthy
Bei Wang
ArXiv (abs)PDFHTML
Abstract

The mapper construction is a powerful tool from topological data analysis that is designed for the analysis and visualization of multivariate data. In this paper, we investigate a method for stitching a pair of univariate mappers together into a bivariate mapper and study topological notions of information gains during such a process. We further provide implementations that visualize such information gains.

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