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Topological Data Analysis

The Abel Symposium 2018

  • Nils A. Baas
  • Gunnar E. Carlsson
  • Gereon Quick
  • Markus Szymik
  • Marius Thaule
Conference proceedings

Part of the Abel Symposia book series (ABEL, volume 15)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Henry Adams, Manuchehr Aminian, Elin Farnell, Michael Kirby, Joshua Mirth, Rachel Neville et al.
    Pages 1-31
  3. Hirokazu Anai, Frédéric Chazal, Marc Glisse, Yuichi Ike, Hiroya Inakoshi, Raphaël Tinarrage et al.
    Pages 33-66
  4. Gunnar Carlsson, Rickard Brüel Gabrielsson
    Pages 119-146
  5. Mathieu Carrière, Raúl Rabadán
    Pages 147-162
  6. Carina Pamela Curto, Nora Youngs
    Pages 163-180
  7. Herbert Edelsbrunner, Anton Nikitenko, Katharina Ölsböck, Peter Synak
    Pages 181-218
  8. Chad Giusti, Darrick Lee
    Pages 219-246
  9. Georgina Gonzalez, Arina Ushakova, Radmila Sazdanovic, Javier Arsuaga
    Pages 247-276
  10. Kathryn Hess
    Pages 277-305
  11. Yasuaki Hiraoka, Tatsuya Mikami
    Pages 307-342
  12. Vladimir Itskov, Alexander Kunin, Zvi Rosen
    Pages 343-369
  13. Woojin Kim, Facundo Mémoli, Zane Smith
    Pages 371-389
  14. Vidit Nanda, Amit Patel
    Pages 391-403
  15. Steve Oudot, Elchanan Solomon
    Pages 405-433
  16. Katharine Turner, Gard Spreemann
    Pages 459-490
  17. Mikael Vejdemo-Johansson, Alisa Leshchenko
    Pages 491-515

About these proceedings

Introduction

This book gathers the proceedings of the 2018 Abel Symposium, which was held in Geiranger, Norway, on June 4-8, 2018. The symposium offered an overview of the emerging field of "Topological Data Analysis". This volume presents papers on various research directions, notably including applications in neuroscience, materials science, cancer biology, and immune response. Providing an essential snapshot of the status quo, it represents a valuable asset for practitioners and those considering entering the field.



Keywords

topological data analysis data analysis persistent homology persistence diagrams stability theorem deep learning single-cell Hi-C contact maps neural codes Poisson–Delaunay mosaics prediction in cancer genomics dynamic graphs inverse problems nerve lemma neural science

Editors and affiliations

  • Nils A. Baas
    • 1
  • Gunnar E. Carlsson
    • 2
  • Gereon Quick
    • 3
  • Markus Szymik
    • 4
  • Marius Thaule
    • 5
  1. 1.Department of Mathematical SciencesNTNUTrondheimNorway
  2. 2.Department of MathematicsStanford UniversityStanfordUSA
  3. 3.Department of Mathematical SciencesNTNUTrondheimNorway
  4. 4.Department of Mathematical SciencesNTNUTrondheimNorway
  5. 5.Department of Mathematical SciencesNTNUTrondheimNorway

Bibliographic information