Topological data analysis with applications:
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 higher-dimensional versions: simplicial...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, Australia ; New Delhi, India ; Singapore
Cambridge University Press
[2022]
|
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-92 DE-91 DE-91G DE-739 Volltext |
| Zusammenfassung: | 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 higher-dimensional 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 |
| Beschreibung: | 1 Online-Ressource (xi, 220 Seiten) Illustrationen |
| ISBN: | 9781108975704 |
| DOI: | 10.1017/9781108975704 |
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| isbn | 9781108975704 |
| language | English |
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| spelling | Carlsson, Gunnar 1952- Verfasser (DE-588)1023259125 aut Topological data analysis with applications Gunnar Carlsson, Mikael Vejdemo-Johansson Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, Australia ; New Delhi, India ; Singapore Cambridge University Press [2022] 2022 1 Online-Ressource (xi, 220 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier 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 higher-dimensional 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 Topology Mathematical analysis Homologietheorie (DE-588)4141714-8 gnd rswk-swf Topologische Datenanalyse (DE-588)1276115946 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Kettenkomplex (DE-588)4698657-1 gnd rswk-swf Streuungsdiagramm (DE-588)4300114-2 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 s Datenanalyse (DE-588)4123037-1 s Topologische Datenanalyse (DE-588)1276115946 s Streuungsdiagramm (DE-588)4300114-2 s Homologietheorie (DE-588)4141714-8 s Kettenkomplex (DE-588)4698657-1 s DE-604 Vejdemo-Johansson, Mikael 1980- Sonstige (DE-588)13633136X oth Erscheint auch als Druck-Ausgabe 978-1-108-83865-8 https://doi.org/10.1017/9781108975704 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Carlsson, Gunnar 1952- Topological data analysis with applications Topology Mathematical analysis Homologietheorie (DE-588)4141714-8 gnd Topologische Datenanalyse (DE-588)1276115946 gnd Datenanalyse (DE-588)4123037-1 gnd Algebraische Topologie (DE-588)4120861-4 gnd Kettenkomplex (DE-588)4698657-1 gnd Streuungsdiagramm (DE-588)4300114-2 gnd |
| subject_GND | (DE-588)4141714-8 (DE-588)1276115946 (DE-588)4123037-1 (DE-588)4120861-4 (DE-588)4698657-1 (DE-588)4300114-2 |
| title | Topological data analysis with applications |
| title_auth | Topological data analysis with applications |
| title_exact_search | Topological data analysis with applications |
| title_exact_search_txtP | Topological data analysis with applications |
| title_full | Topological data analysis with applications Gunnar Carlsson, Mikael Vejdemo-Johansson |
| title_fullStr | Topological data analysis with applications Gunnar Carlsson, Mikael Vejdemo-Johansson |
| title_full_unstemmed | Topological data analysis with applications Gunnar Carlsson, Mikael Vejdemo-Johansson |
| title_short | Topological data analysis with applications |
| title_sort | topological data analysis with applications |
| topic | Topology Mathematical analysis Homologietheorie (DE-588)4141714-8 gnd Topologische Datenanalyse (DE-588)1276115946 gnd Datenanalyse (DE-588)4123037-1 gnd Algebraische Topologie (DE-588)4120861-4 gnd Kettenkomplex (DE-588)4698657-1 gnd Streuungsdiagramm (DE-588)4300114-2 gnd |
| topic_facet | Topology Mathematical analysis Homologietheorie Topologische Datenanalyse Datenanalyse Algebraische Topologie Kettenkomplex Streuungsdiagramm |
| url | https://doi.org/10.1017/9781108975704 |
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