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Signatur: UBN/SK 950 C284   QR-Code
Standort: Zweigstelle Neuenheim / Freihandbereich Monograph  3D-Plan
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Verfasst von:Carlsson, Gunnar [VerfasserIn]   i
 Vejdemo-Johansson, Mikael [VerfasserIn]   i
Titel:Topological data analysis with applications
Verf.angabe:Gunnar Carlsson (Stanford University, California), Mikael Vejdemo-Johansson (City University of New York, College of Staten Island and the Graduate Center)
Verlagsort:Cambridge
Verlag:Cambridge University Press
Jahr:2022
Umfang:xi, 220 Seiten
Illustrationen:Illustrationen
Fussnoten:Literaturangaben
ISBN:978-1-108-83865-8
Abstract:"The continued and dramatic rise in the size of data sets has meant that new methods are required to model and analyze them. This timely account introduces topological data analysis (TDA), a method for modeling data by geometric objects, namely graphs and their higherdimensional versions: simplicial complexes. The authors outline the necessary background material on topology and data philosophy for newcomers, while more complex concepts are highlighted for advanced learners. The book covers all the main TDA techniques, including persistent homology, cohomology, and Mapper. The final section focuses on the diverse applications of TDA, examining a number of case studies drawn from monitoring the progression of infectious diseases to the study of motion capture data. Mathematicians moving into data science, as well as data scientists or computer scientists seeking to understand this new area, will appreciate this self-contained resource which explains the underlying technology and how it can be used"--
DOI:doi:10.1017/9781108975704
URL:Inhaltsverzeichnis: https://www.gbv.de/dms/ilmenau/toc/1766065473.PDF
 https://zbmath.org/?q=an%3A7418454
 DOI: https://doi.org/10.1017/9781108975704
Schlagwörter:(s)Algebraische Topologie   i / (s)Datenanalyse   i / (s)Topologische Datenanalyse   i / (s)Streuungsdiagramm   i / (s)Homologietheorie   i / (s)Kettenkomplex   i
Sprache:eng
Bibliogr. Hinweis:Erscheint auch als : Online-Ausgabe: Carlsson, G., - 1952-: Topological data analysis with applications. - Cambridge : Cambridge University Press, 2022. - 1 online resource (xi, 220 pages)
RVK-Notation:SK 300   i
 SK 950   i
Sach-SW:MATHEMATICS / Topology
K10plus-PPN:1766065473
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