An Introduction to Topological Data Analysis Ball Mapper in R

Simon Rudkin

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arXiv · 2504.14081

An Introduction to Topological Data Analysis Ball Mapper in R

Simon Rudkin

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Abstract

The Topological Data Analysis Ball Mapper (TDABM) algorithm of Dlotko (2019) provides a model free means to visualize multi-dimensional data. The visualizations are abstract two-dimensional representations of covers of the dataset. To construct a TDABM plot, each variable in the dataset should be ordinal and suitable for representing as an axis of a scatter plot. The graphs produced by TDABM provide a map of the dataset on which outcomes may be charted, models assessed and new models formed. The benefits of TDABM are powering a growing literature. This document provides a step-by-step introduction to the algorithm with code in R.

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Simon Rudkin. 2025-04-18. An Introduction to Topological Data Analysis Ball Mapper in R. https://arxiv.org/abs/2504.14081

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