Ball mapper: a shape summary for topological data analysis

Pawe{\l} D{\l}otko

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arxiv 1901.07410 v1 pith:NDX7Y2BS submitted 2019-01-22 math.AT

Ball mapper: a shape summary for topological data analysis

Pawe{\l} D{\l}otko This is my paper

classification math.AT

keywords dataanalysisemphmappershapetopologicalalgorithmapplied

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Topological data analysis provides a collection of tools to encapsulate and summarize the shape of data. Currently it is mainly restricted to \emph{mapper algorithm} and \emph{persistent homology}. In this paper we introduce new mapper--inspired descriptor that can be applied for exploratory data analysis.

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A Three Axis Evaluation Framework for Mapper Algorithms
math.AT 2026-06 unverdicted novelty 5.0

The paper reviews a three-axis evaluation framework (stability, cluster quality, topological shape preservation) for Mapper algorithms, analyzes variants on synthetic and UCI Digits data, and finds the axes often conf...