Topological Data Analysis The Abel Symposium 2018
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 applic...
| Other Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2020, 2020
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| Edition: | 1st ed. 2020 |
| Series: | Abel Symposia
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- A fractal dimension for measures via persistent homology
- DTM-based filtrations
- Persistence diagrams as diagrams: a categorification of the stability theorem
- The persistence landscape and some of its properties
- Topological approaches to deep learning
- Topological data analysis of single-cell Hi-C contact maps
- Neural ring homomorphisms and maps between neural codes
- Radius functions on Poisson–Delaunay mosaics and related complexes experimentally
- Iterated integrals and population time series analysis
- Prediction in cancer genomics using topological signatures and machine learning
- Topological adventures in neuroscience
- Percolation on homology generators in codimension one
- Hyperplane neural codes and the polar complex
- Analysis of dynamic graphs and dynamic metric spaces via zigzag persistence
- Canonical stratifications along bisheaves
- Inverse problems in topological persistence
- Sparse circular coordinates via principal Z-bundles
- Same but different: distance correlations between topological summaries
- Certified mapper: repeated testing for acyclicity and obstructions to the nerve lemma.