Topological Data Analysis Ball Mapper (TDABM) offers a model-free visualization of multivariate data which does not necessitate the information loss associated with dimensionality reduction. TDABM Dlotko (2019) produces a cover of a multidimensional point cloud using equal size balls, the radius of the ball is the only parameter. A TDABM visualization retains the full structure of the data. The graphs produced by TDABM can convey coloration according to further variables, model residuals, or variables within the multivariate data. An expanding literature makes use of the power of TDABM across Finance, Economics, Geography, Medicine and Chemistry amongst others. We provide an introduction to TDABM and the \texttt{ballmapper} package for Stata.

翻译：拓扑数据分析球覆盖映射器（TDABM）提供了一种无需模型的多元数据可视化方法，该方法避免了降维带来的信息损失。TDABM（Dlotko，2019）使用等半径球体对多维点云进行覆盖，其中球体半径是唯一参数。TDABM可视化完整保留了数据的原始结构。通过TDABM生成的图谱可根据附加变量、模型残差或多元数据内部变量进行着色编码。现有文献已广泛运用TDABM在金融学、经济学、地理学、医学及化学等领域的分析能力。本文系统介绍TDABM方法及其在Stata平台实现的\texttt{ballmapper}软件包。