
Topological data analysis : the Abel Symposium 2018
Abel Symposium
Bok · Engelsk · 2020
Medvirkende | |
---|---|
Omfang | xiv, 515 sider : illustrasjoner
|
Opplysninger | Bidrag fra 2018 Abel Symposium, avholdt i Geiranger, 4.-8. juni 2018.. - 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. .
|
Emner | |
Dewey | |
ISBN | 9783030434076
|