Topological analysis of data

Abstract Propelled by a fast evolving landscape of techniques and datasets, data science is growing rapidly. Against this background, topological data analysis (TDA) has carved itself a niche for the analysis of datasets that present complex interactions and rich structures. Its distinctive feature,...

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Main Authors: Alice Patania, Francesco Vaccarino, Giovanni Petri
Format: Article
Language:English
Published: SpringerOpen 2017-06-01
Series:EPJ Data Science
Subjects:
Online Access:http://link.springer.com/article/10.1140/epjds/s13688-017-0104-x
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author Alice Patania
Francesco Vaccarino
Giovanni Petri
author_facet Alice Patania
Francesco Vaccarino
Giovanni Petri
author_sort Alice Patania
collection DOAJ
description Abstract Propelled by a fast evolving landscape of techniques and datasets, data science is growing rapidly. Against this background, topological data analysis (TDA) has carved itself a niche for the analysis of datasets that present complex interactions and rich structures. Its distinctive feature, topology, allows TDA to detect, quantify and compare the mesoscopic structures of data, while also providing a language able to encode interactions beyond networks. Here we briefly present the TDA paradigm and some applications, in order to highlight its relevance to the data science community.
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spelling doaj.art-d6c8458c046943dd8f11bc5cc32534932022-12-22T01:17:33ZengSpringerOpenEPJ Data Science2193-11272017-06-01611610.1140/epjds/s13688-017-0104-xTopological analysis of dataAlice Patania0Francesco Vaccarino1Giovanni Petri2ISI FoundationISI FoundationISI FoundationAbstract Propelled by a fast evolving landscape of techniques and datasets, data science is growing rapidly. Against this background, topological data analysis (TDA) has carved itself a niche for the analysis of datasets that present complex interactions and rich structures. Its distinctive feature, topology, allows TDA to detect, quantify and compare the mesoscopic structures of data, while also providing a language able to encode interactions beyond networks. Here we briefly present the TDA paradigm and some applications, in order to highlight its relevance to the data science community.http://link.springer.com/article/10.1140/epjds/s13688-017-0104-xtopological data analysissimplicial complexespersistent homology
spellingShingle Alice Patania
Francesco Vaccarino
Giovanni Petri
Topological analysis of data
EPJ Data Science
topological data analysis
simplicial complexes
persistent homology
title Topological analysis of data
title_full Topological analysis of data
title_fullStr Topological analysis of data
title_full_unstemmed Topological analysis of data
title_short Topological analysis of data
title_sort topological analysis of data
topic topological data analysis
simplicial complexes
persistent homology
url http://link.springer.com/article/10.1140/epjds/s13688-017-0104-x
work_keys_str_mv AT alicepatania topologicalanalysisofdata
AT francescovaccarino topologicalanalysisofdata
AT giovannipetri topologicalanalysisofdata