Topological Data Analysis for Unsupervised Anomaly Detection and Customer Segmentation on Banking Data

Leonardo Aldo Alejandro Barberi, Linda Maria De Cave
8/19/2025
cs.LGcs.CG

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Abstract

This paper introduces advanced techniques of Topological Data Analysis (TDA) for unsupervised anomaly detection and customer segmentation in banking data. Using the Mapper algorithm and persistent homology, we develop unsupervised procedures that uncover meaningful patterns in customers' banking data by exploiting topological information. The framework we present in this paper yields actionable insights that combine the abstract mathematical subject of topology with real-life use cases that are useful in industry.

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@article{barberi2025topological,
  title  = {Topological Data Analysis for Unsupervised Anomaly Detection and Customer Segmentation on Banking Data},
  author = {Leonardo Aldo Alejandro Barberi and Linda Maria De Cave},
  year   = {2025},
  eprint = {2508.14136},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2508.14136v1}
}

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