Topological Data Analysis
The Abel Symposium 2018
1st Edition
Published on 25. June 2020
XIV, 515 pages
978-3-030-43408-3 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XIV, 515 p. 199 illus., 146 illus. in color.
File size
23,31 MB
ISBN-13
978-3-030-43408-3 (9783030434083)
DOI
10.1007/978-3-030-43408-3
Schweitzer Classification
Other editions
Additional editions
Book
06/2020
Springer
€235.39
Shipment within 7-9 days
Content
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.
