Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Cavanna, Nicholas J.; Jahanseir, Mahmoodreza; Sheehy, Donald R. https://www.dagstuhl.de/lipics License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
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URN: urn:nbn:de:0030-drops-50893
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Visualizing Sparse Filtrations

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Abstract

Over the last few years, there have been several approaches to building sparser complexes that still give good approximations to the persistent homology. In this video, we have illustrated a geometric perspective on sparse filtrations that leads to simpler proofs, more general theorems, and a more visual explanation. We hope that as these techniques become easier to understand, they will also become easier to use.

BibTeX - Entry

@InProceedings{cavanna_et_al:LIPIcs:2015:5089,
  author =	{Nicholas J. Cavanna and Mahmoodreza Jahanseir and Donald R. Sheehy},
  title =	{{Visualizing Sparse Filtrations}},
  booktitle =	{31st International Symposium on Computational Geometry (SoCG 2015)},
  pages =	{23--25},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-83-5},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{34},
  editor =	{Lars Arge and J{\'a}nos Pach},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5089},
  URN =		{urn:nbn:de:0030-drops-50893},
  doi =		{10.4230/LIPIcs.SOCG.2015.23},
  annote =	{Keywords: Topological Data Analysis, Simplicial Complexes, Persistent Homology}
}

Keywords: Topological Data Analysis, Simplicial Complexes, Persistent Homology
Seminar: 31st International Symposium on Computational Geometry (SoCG 2015)
Issue date: 2015
Date of publication: 12.06.2015


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