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A variety of tools from topological data analysis have been used within machine learning. Among them, persistent homology and Mapper graphs have so far been the most relevant in the study of deep learning methods. In this chapter, we provide a concise overview of both.

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Topological Data Analysis

  • 章节

  • 发表日期：

    2026年

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  • Rubén Ballester,
  • Carles Casacuberta,
  • Sergio Escalera

摘要

A variety of tools from topological data analysis have been used within machine learning. Among them, persistent homology and Mapper graphs have so far been the most relevant in the study of deep learning methods. In this chapter, we provide a concise overview of both.