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Topological data analysisthe Abel Sy...

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Topological data analysisthe Abel Symposium 2018 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Topological data analysisedited by Nils A. Baas ... [et al.].
Reminder of title:	the Abel Symposium 2018 /
other author:	Baas, Nils A.
corporate name:
Published:	Cham :Springer International Publishing :2020.
Description:	xiv, 515 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Algebraic topology
Online resource:	https://doi.org/10.1007/978-3-030-43408-3
ISBN:	9783030434083$q(electronic bk.)

Topological data analysisthe Abel Symposium 2018 /
Topological data analysisthe Abel Symposium 2018 /[electronic resource] :edited by Nils A. Baas ... [et al.]. - Cham :Springer International Publishing :2020. - xiv, 515 p. :ill. (some col.), digital ;24 cm. - Abel symposia,152193-2808 ;. - Abel symposia ;9..

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.

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.

ISBN: 9783030434083$q(electronic bk.)

Standard No.: 10.1007/978-3-030-43408-3doiSubjects--Topical Terms:

254254
Algebraic topology

LC Class. No.: QA612

Dewey Class. No.: 514.2

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505 0 $a 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.
520 $a 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.
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