Topological Data Analysis: The Abel Symposium 2018: Abel Symposia, cartea 15
Editat de Nils A. Baas, Gunnar E. Carlsson, Gereon Quick, Markus Szymik, Marius Thauleen Limba Engleză Paperback – 26 iun 2021
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Specificații
ISBN-13: 9783030434106
ISBN-10: 3030434109
Pagini: 515
Ilustrații: XIV, 515 p. 199 illus., 146 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.74 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seria Abel Symposia
Locul publicării:Cham, Switzerland
ISBN-10: 3030434109
Pagini: 515
Ilustrații: XIV, 515 p. 199 illus., 146 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.74 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seria Abel Symposia
Locul publicării:Cham, Switzerland
Cuprins
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.