國立虎尾科技大學 |

Topological Data Analysis = The Abel Symposium 2018 /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Topological Data Analysis/ edited by Nils A. Baas, Gunnar E. Carlsson, Gereon Quick, Markus Szymik, Marius Thaule.
Reminder of title:	The Abel Symposium 2018 /
other author:	Baas, Nils A.
Description:	XIV, 515 p. 199 illus., 146 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algebraic topology. -
Online resource:	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, Gunnar E. Carlsson, Gereon Quick, Markus Szymik, Marius Thaule. - 1st ed. 2020. - XIV, 515 p. 199 illus., 146 illus. in color.online resource. - Abel Symposia,152193-2808 ;. - Abel Symposia,10.

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:

678206
Algebraic topology.

LC Class. No.: QA612-612.8

Dewey Class. No.: 514.2

Topological Data Analysis = The Abel Symposium 2018 /
LDR:03145nam a22004095i 4500 001 1029382
003 DE-He213
005 20200705140550.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030434083 $9 978-3-030-43408-3
024 7 $a 10.1007/978-3-030-43408-3 $2 doi
035 $a 978-3-030-43408-3
050 4 $a QA612-612.8
072 7 $a PBPD $2 bicssc
072 7 $a MAT038000 $2 bisacsh
072 7 $a PBPD $2 thema
082 0 4 $a 514.2 $2 23
245 1 0 $a Topological Data Analysis $h [electronic resource] : $b The Abel Symposium 2018 / $c edited by Nils A. Baas, Gunnar E. Carlsson, Gereon Quick, Markus Szymik, Marius Thaule.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a XIV, 515 p. 199 illus., 146 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Abel Symposia, $x 2193-2808 ; $v 15
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.
650 0 $a Algebraic topology. $3 678206
650 0 $a Medicine. $3 644133
650 0 $a Computer science—Mathematics. $3 1253519
650 1 4 $a Algebraic Topology. $3 672209
650 2 4 $a Biomedicine, general. $3 1253757
650 2 4 $a Mathematics of Computing. $3 669457
700 1 $a Baas, Nils A. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 793917
700 1 $a Carlsson, Gunnar E. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1326076
700 1 $a Quick, Gereon. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1326077
700 1 $a Szymik, Markus. $e author. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1257350
700 1 $a Thaule, Marius. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1326078
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030434076
776 0 8 $i Printed edition: $z 9783030434090
776 0 8 $i Printed edition: $z 9783030434106
830 0 $a Abel Symposia, $x 2193-2808 ; $v 10 $3 1261576
856 4 0 $u https://doi.org/10.1007/978-3-030-43408-3
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)