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.
@article{arxiv.2504.14081,
title = {An Introduction to Topological Data Analysis Ball Mapper in R},
author = {Simon Rudkin},
journal= {arXiv preprint arXiv:2504.14081},
year = {2025}
}