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:
| Hauptverfasser: | , |
|---|---|
| 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: | BSB01 FHN01 TUM01 TUM02 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: | Title from publisher's bibliographic system (viewed on 26 Nov 2021) |
| Beschreibung: | 1 Online-Ressource (xi, 220 Seiten) Illustrationen |
| ISBN: | 9781108975704 |
| DOI: | 10.1017/9781108975704 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV047655332 | ||
| 003 | DE-604 | ||
| 005 | 20231204 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 211228s2022 |||| o||u| ||||||eng d | ||
| 020 | |a 9781108975704 |c Online |9 978-1-108-97570-4 | ||
| 024 | 7 | |a 10.1017/9781108975704 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781108975704 | ||
| 035 | |a (OCoLC)1291619374 | ||
| 035 | |a (DE-599)BVBBV047655332 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-91G | ||
| 082 | 0 | |a 514/.23 | |
| 084 | |a MAT 022 |2 stub | ||
| 084 | |a MAT 057 |2 stub | ||
| 084 | |a MAT 550 |2 stub | ||
| 084 | |a MAT 023 |2 stub | ||
| 100 | 1 | |a Carlsson, Gunnar |d 1952- |0 (DE-588)1023259125 |4 aut | |
| 245 | 1 | 0 | |a Topological data analysis with applications |c Gunnar Carlsson, Mikael Vejdemo-Johansson |
| 264 | 1 | |a Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, Australia ; New Delhi, India ; Singapore |b Cambridge University Press |c 2022 | |
| 300 | |a 1 Online-Ressource (xi, 220 Seiten) |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Title from publisher's bibliographic system (viewed on 26 Nov 2021) | ||
| 520 | |a 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 | ||
| 650 | 4 | |a Topology | |
| 650 | 4 | |a Mathematical analysis | |
| 700 | 1 | |a Vejdemo-Johansson, Mikael |d 1980- |0 (DE-588)13633136X |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-1-108-83865-8 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/9781108975704 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-033040273 | ||
| 966 | e | |u https://doi.org/10.1017/9781108975704 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781108975704 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO_Kauf |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781108975704 |l TUM01 |p ZDB-20-CBO |q TUM_Einzelkauf_2022 |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781108975704 |l TUM01 |p ZDB-20-CBO |q TUM_Paketkauf_2021 |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781108975704 |l TUM02 |p ZDB-20-CBO |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804183122501173248 |
|---|---|
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Carlsson, Gunnar 1952- Vejdemo-Johansson, Mikael 1980- |
| author_GND | (DE-588)1023259125 (DE-588)13633136X |
| author_facet | Carlsson, Gunnar 1952- Vejdemo-Johansson, Mikael 1980- |
| author_role | aut aut |
| author_sort | Carlsson, Gunnar 1952- |
| author_variant | g c gc m v j mvj |
| building | Verbundindex |
| bvnumber | BV047655332 |
| classification_tum | MAT 022 MAT 057 MAT 550 MAT 023 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781108975704 (OCoLC)1291619374 (DE-599)BVBBV047655332 |
| dewey-full | 514/.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.23 |
| dewey-search | 514/.23 |
| dewey-sort | 3514 223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1017/9781108975704 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03138nmm a2200493zc 4500</leader><controlfield tag="001">BV047655332</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20231204 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">211228s2022 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781108975704</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-108-97570-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/9781108975704</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781108975704</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1291619374</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV047655332</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-91G</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514/.23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 022</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 057</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 550</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 023</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Carlsson, Gunnar</subfield><subfield code="d">1952-</subfield><subfield code="0">(DE-588)1023259125</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Topological data analysis with applications</subfield><subfield code="c">Gunnar Carlsson, Mikael Vejdemo-Johansson</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, Australia ; New Delhi, India ; Singapore</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2022</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xi, 220 Seiten)</subfield><subfield code="b">Illustrationen</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 26 Nov 2021)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Topology</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical analysis</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Vejdemo-Johansson, Mikael</subfield><subfield code="d">1980-</subfield><subfield code="0">(DE-588)13633136X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-1-108-83865-8</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/9781108975704</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-033040273</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108975704</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108975704</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO_Kauf</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108975704</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">TUM_Einzelkauf_2022</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108975704</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">TUM_Paketkauf_2021</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108975704</subfield><subfield code="l">TUM02</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV047655332 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T18:50:58Z |
| indexdate | 2024-07-10T09:18:25Z |
| institution | BVB |
| isbn | 9781108975704 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033040273 |
| oclc_num | 1291619374 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-91G DE-BY-TUM |
| owner_facet | DE-12 DE-92 DE-91G DE-BY-TUM |
| physical | 1 Online-Ressource (xi, 220 Seiten) Illustrationen |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO_Kauf ZDB-20-CBO TUM_Einzelkauf_2022 ZDB-20-CBO TUM_Paketkauf_2021 |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Carlsson, Gunnar 1952- (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 1 Online-Ressource (xi, 220 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 26 Nov 2021) 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 Vejdemo-Johansson, Mikael 1980- (DE-588)13633136X aut 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- Vejdemo-Johansson, Mikael 1980- Topological data analysis with applications Topology Mathematical analysis |
| 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 |
| topic_facet | Topology Mathematical analysis |
| url | https://doi.org/10.1017/9781108975704 |
| work_keys_str_mv | AT carlssongunnar topologicaldataanalysiswithapplications AT vejdemojohanssonmikael topologicaldataanalysiswithapplications |