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Introduction to Persistent Homology

Author Matthew L. Wright

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LIPIcs.SoCG.2016.72.pdf
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Matthew L. Wright

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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) https://doi.org/10.4230/LIPIcs.SoCG.2016.72

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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  • Persistent Homology
  • Topological Data Analysi

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References

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