大葉大學圖書館 |

登入

回首頁

The structure and stability of persi...

Chazal, Frederic.

The structure and stability of persistence modules[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	512.42
書名/作者:	The structure and stability of persistence modules/ by Frederic Chazal ... [et al.].
其他作者:	Chazal, Frederic.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	x, 120 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Modules (Algebra)
標題:	Mathematics.
標題:	Algebraic Topology.
標題:	Algebra.
標題:	Mathematical Applications in Computer Science.
ISBN:	9783319425450
ISBN:	9783319425436
內容註:	Introduction -- Persistence Modules -- Rectangle Measures -- Interleaving -- The Isometry Theorem -- Variations -- References -- Index.
摘要、提要註:	This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use of a new calculus of quiver representations to facilitate explicit computations. Appealing to both beginners and experts in the subject, The Structure and Stability of Persistence Modules provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.
電子資源:	http://dx.doi.org/10.1007/978-3-319-42545-0

The structure and stability of persistence modules[electronic resource] /
The structure and stability of persistence modules[electronic resource] /by Frederic Chazal ... [et al.]. - Cham :Springer International Publishing :2016. - x, 120 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

Introduction -- Persistence Modules -- Rectangle Measures -- Interleaving -- The Isometry Theorem -- Variations -- References -- Index.

This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use of a new calculus of quiver representations to facilitate explicit computations. Appealing to both beginners and experts in the subject, The Structure and Stability of Persistence Modules provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.

ISBN: 9783319425450

Standard No.: 10.1007/978-3-319-42545-0doiSubjects--Topical Terms:

486780
Modules (Algebra)

LC Class. No.: QA247

Dewey Class. No.: 512.42

The structure and stability of persistence modules[electronic resource] /
LDR:01880nmm a2200325 a 4500 001 467659
003 DE-He213
005 20161008174325.0
006 m d
007 cr nn 008maaau
008 170511s2016 gw s 0 eng d
020 $a 9783319425450 $q (electronic bk.)
020 $a 9783319425436 $q (paper)
024 7 $a 10.1007/978-3-319-42545-0 $2 doi
035 $a 978-3-319-42545-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA247
072 7 $a PBPD $2 bicssc
072 7 $a MAT038000 $2 bisacsh
082 0 4 $a 512.42 $2 23
090 $a QA247 $b .S927 2016
245 0 4 $a The structure and stability of persistence modules $h [electronic resource] / $c by Frederic Chazal ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a x, 120 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a Introduction -- Persistence Modules -- Rectangle Measures -- Interleaving -- The Isometry Theorem -- Variations -- References -- Index.
520 $a This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use of a new calculus of quiver representations to facilitate explicit computations. Appealing to both beginners and experts in the subject, The Structure and Stability of Persistence Modules provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.
650 0 $a Modules (Algebra) $3 486780
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Algebraic Topology. $3 464924
650 2 4 $a Algebra. $3 189734
650 2 4 $a Mathematical Applications in Computer Science. $3 467521
700 1 $a Chazal, Frederic. $3 673070
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 465744
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-42545-0
950 $a Mathematics and Statistics (Springer-11649)

筆 0 讀者評論

多媒體

多媒體檔案
http://dx.doi.org/10.1007/978-3-319-42545-0

評論

新增評論分享你的心得

Export

取書館別