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In this section we revisit the topological descriptors of data series and images. These descriptors consist of an alternative or complementary route to more experienced statistical descriptors (moments, correlations, covariograms, ...) [1]. They enable comparing, clustering, classifying and modeling (from nonlinear regressions) data with high topology content.

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Topological Data Analysis

  • 章节

  • 出版模式：

    开放获取

  • 发表日期：

    2025年

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  • Francisco Chinesta,
  • Elías Cueto,
  • Victor Champaney,
  • Chady Ghnatios,
  • Amine Ammar,
  • Nicolas Hascoët,
  • David González,
  • Icíar Alfaro,
  • Daniele Di Lorenzo,
  • Angelo Pasquale,
  • Dominique Baillargeat

摘要

In this section we revisit the topological descriptors of data series and images. These descriptors consist of an alternative or complementary route to more experienced statistical descriptors (moments, correlations, covariograms, ...) [1]. They enable comparing, clustering, classifying and modeling (from nonlinear regressions) data with high topology content.