Topological Data Analysis

The Abel Symposium 2018

AvNils A. Baas,Gunnar E. Carlsson

Inbunden, Engelska, 2020

Del 15 i serien Abel Symposia

2 380 kr

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Beskrivning

This book gathers the proceedings of the 2018 Abel Symposium, which was held in Geiranger, Norway, on June 4-8, 2018. This volume presents papers on various research directions, notably including applications in neuroscience, materials science, cancer biology, and immune response.

Produktinformation

Utgivningsdatum:2020-06-26
Mått:155 x 235 x 34 mm
Vikt:957 g
Format:Inbunden
Språk:Engelska
Serie:Abel Symposia
Antal sidor:515
Upplaga:20001
Förlag:Springer Nature Switzerland AG
ISBN:9783030434076

Utforska kategorier

Innehållsförteckning

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.