License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.SOCG.2015.23
URN: urn:nbn:de:0030-drops-50893
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/5089/
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Cavanna, Nicholas J. ; Jahanseir, Mahmoodreza ; Sheehy, Donald R.

Visualizing Sparse Filtrations

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6.pdf (0.8 MB)

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
Collection: 31st International Symposium on Computational Geometry (SoCG 2015)
Issue Date: 2015
Date of publication: 12.06.2015

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