articleAnnual Review of Statistics and Its ApplicationDec 14, 2017Closed access

Topological Data Analysis

LWLarry Wasserman

Carnegie Mellon University

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Abstract

Topological data analysis (TDA) can broadly be described as a collection of data analysis methods that find structure in data. These methods include clustering, manifold estimation, nonlinear dimension reduction, mode estimation, ridge estimation and persistent homology. This paper reviews some of these methods.

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Topics & keywords

Topics
Keywords
  • Topological data analysis
  • Persistent homology
  • Nonlinear dimensionality reduction
  • Dimensionality reduction
  • Cluster analysis
  • Manifold (fluid mechanics)
  • Topology (electrical circuits)
  • Computer science
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