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DOI: 10.4230/LIPIcs.SoCG.2016.72

Introduction to Persistent Homology

Authors: Matthew L. Wright

Published in: LIPIcs, Volume 51, 32nd International Symposium on Computational Geometry (SoCG 2016)

Abstract

This video presents an introduction to persistent homology, aimed at a viewer who has mathematical aptitude but not necessarily knowledge of algebraic topology. Persistent homology is an algebraic method of discerning the topological features of complex data, which in recent years has found applications in fields such as image processing and biological systems. Using smooth animations, the video conveys the intuition behind persistent homology, while giving a taste of its key properties, applications, and mathematical underpinnings.

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Matthew L. Wright. Introduction to Persistent Homology. In 32nd International Symposium on Computational Geometry (SoCG 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 51, pp. 72:1-72:3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)

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@InProceedings{wright:LIPIcs.SoCG.2016.72,
  author =	{Wright, Matthew L.},
  title =	{{Introduction to Persistent Homology}},
  booktitle =	{32nd International Symposium on Computational Geometry (SoCG 2016)},
  pages =	{72:1--72:3},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-009-5},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{51},
  editor =	{Fekete, S\'{a}ndor and Lubiw, Anna},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2016.72},
  URN =		{urn:nbn:de:0030-drops-59643},
  doi =		{10.4230/LIPIcs.SoCG.2016.72},
  annote =	{Keywords: Persistent Homology, Topological Data Analysi}
}

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Introduction to Persistent Homology

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