Book contents
- Frontmatter
- Contents
- Preface
- Prelude
- 1 Basics
- 2 Complexes and Homology Groups
- 3 Topological Persistence
- 4 General Persistence
- 5 Generators and Optimality
- 6 Topological Analysis of Point Clouds
- 7 Reeb Graphs
- 8 Topological Analysis of Graphs
- 9 Cover, Nerve, and Mapper
- 10 Discrete Morse Theory and Applications
- 11 Multiparameter Persistence and Decomposition
- 12 Multiparameter Persistence and Distances
- 13 Topological Persistence and Machine Learning
- References
- Index
1 - Basics
Published online by Cambridge University Press: 18 February 2022
Book contents
- Frontmatter
- Contents
- Preface
- Prelude
- 1 Basics
- 2 Complexes and Homology Groups
- 3 Topological Persistence
- 4 General Persistence
- 5 Generators and Optimality
- 6 Topological Analysis of Point Clouds
- 7 Reeb Graphs
- 8 Topological Analysis of Graphs
- 9 Cover, Nerve, and Mapper
- 10 Discrete Morse Theory and Applications
- 11 Multiparameter Persistence and Decomposition
- 12 Multiparameter Persistence and Distances
- 13 Topological Persistence and Machine Learning
- References
- Index
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- Computational Topology for Data Analysis , pp. 1 - 25Publisher: Cambridge University PressPrint publication year: 2022
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