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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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221104b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781108838658 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
514.23 |
| Item number |
CAR |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Carlsson, Gunnar |
| 245 ## - TITLE STATEMENT |
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| Title |
Topological data analysis with applications |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Cambridge University Press, |
| Date of publication, distribution, etc |
2021 |
| Place of publication, distribution, etc |
Cambridge : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
vii, 220 p. ; |
| Other physical details |
ill |
| Dimensions |
25 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
39.99 |
| Price type code |
GBP |
| Unit of pricing |
95.20 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematical analysis |
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| Topical term or geographic name as entry element |
Topology |
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| Topical term or geographic name as entry element |
Basic for null space |
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| Topical term or geographic name as entry element |
Boundary group |
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| Topical term or geographic name as entry element |
Continuous function |
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| Topical term or geographic name as entry element |
Delay embedding |
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| Topical term or geographic name as entry element |
Evasion problem |
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| Topical term or geographic name as entry element |
Geometric realization |
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| Topical term or geographic name as entry element |
Gromov-Prohorov distance |
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| Topical term or geographic name as entry element |
Hamming distance |
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| Topical term or geographic name as entry element |
Homological critical value |
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| Topical term or geographic name as entry element |
Kirchhoff's laws |
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| Topical term or geographic name as entry element |
Lotka-Volterra equations |
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| Topical term or geographic name as entry element |
Mayer-Vietoris blow-up complex |
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| Topical term or geographic name as entry element |
Natural images |
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| Topical term or geographic name as entry element |
Reeb complex |
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| Topical term or geographic name as entry element |
Standard K- simplex |
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| Topical term or geographic name as entry element |
Support vector machine |
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| Topical term or geographic name as entry element |
Tellegen's theorem |
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| Topical term or geographic name as entry element |
Voronoi |
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| Topical term or geographic name as entry element |
Winding number |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Vejdemo-Johansson, Mikael |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
|
| Item type |
Books |