↓ Skip to main content

Topological Data Analysis

Overview of attention for book
Cover of 'Topological Data Analysis'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 A Fractal Dimension for Measures via Persistent Homology
  3. Altmetric Badge
    Chapter 2 DTM-Based Filtrations
  4. Altmetric Badge
    Chapter 3 Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem
  5. Altmetric Badge
    Chapter 4 The Persistence Landscape and Some of Its Properties
  6. Altmetric Badge
    Chapter 5 Topological Approaches to Deep Learning
  7. Altmetric Badge
    Chapter 6 Topological Data Analysis of Single-Cell Hi-C Contact Maps
  8. Altmetric Badge
    Chapter 7 Neural Ring Homomorphisms and Maps Between Neural Codes
  9. Altmetric Badge
    Chapter 8 Radius Functions on Poisson–Delaunay Mosaics and Related Complexes Experimentally
  10. Altmetric Badge
    Chapter 9 Iterated Integrals and Population Time Series Analysis
  11. Altmetric Badge
    Chapter 10 Prediction in Cancer Genomics Using Topological Signatures and Machine Learning
  12. Altmetric Badge
    Chapter 11 Topological Adventures in Neuroscience
  13. Altmetric Badge
    Chapter 12 Percolation on Homology Generators in Codimension One
  14. Altmetric Badge
    Chapter 13 Hyperplane Neural Codes and the Polar Complex
  15. Altmetric Badge
    Chapter 14 Analysis of Dynamic Graphs and Dynamic Metric Spaces via Zigzag Persistence
  16. Altmetric Badge
    Chapter 15 Canonical Stratifications Along Bisheaves
  17. Altmetric Badge
    Chapter 16 Inverse Problems in Topological Persistence
  18. Altmetric Badge
    Chapter 17 Sparse Circular Coordinates via Principal ℤ $$\mathbb {Z}$$ -Bundles
  19. Altmetric Badge
    Chapter 18 Same But Different: Distance Correlations Between Topological Summaries
  20. Altmetric Badge
    Chapter 19 Certified Mapper: Repeated Testing for Acyclicity and Obstructions to the Nerve Lemma
Attention for Chapter 4: The Persistence Landscape and Some of Its Properties
Altmetric Badge

Citations

dimensions_citation
3 Dimensions

Readers on

mendeley
39 Mendeley
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
Chapter title
The Persistence Landscape and Some of Its Properties
Chapter number 4
Book title
Topological Data Analysis
Published by
Springer, Cham, January 2020
DOI 10.1007/978-3-030-43408-3_4
Book ISBNs
978-3-03-043407-6, 978-3-03-043408-3
Authors

Peter Bubenik, Bubenik, Peter

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 39 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 39 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 9 23%
Student > Bachelor 6 15%
Lecturer > Senior Lecturer 1 3%
Student > Doctoral Student 1 3%
Lecturer 1 3%
Other 5 13%
Unknown 16 41%
Readers by discipline Count As %
Mathematics 12 31%
Computer Science 5 13%
Engineering 3 8%
Business, Management and Accounting 1 3%
Biochemistry, Genetics and Molecular Biology 1 3%
Other 2 5%
Unknown 15 38%