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Topological data analysis = the Abel...

Abel Symposium ((2018 :)

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Topological data analysis = the Abel Symposium 2018 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Topological data analysis/ edited by Nils A. Baas ... [et al.].
其他題名:	the Abel Symposium 2018 /
其他作者:	Baas, Nils A.
團體作者:	Abel Symposium
出版者:	Cham :Springer International Publishing : : 2020.,
面頁冊數:	xiv, 515 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Algebraic topology - Congresses. -
電子資源:	https://doi.org/10.1007/978-3-030-43408-3
ISBN:	9783030434083

Topological data analysis = the 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 ;15..

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

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

708285
Algebraic topology
--Congresses.

LC Class. No.: QA612

Dewey Class. No.: 514.2

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