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Computational topology for data analysis

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Computational topology for data analysisTamal Krishna Dey, Purdue University, Yusu Wang, University of California, San Diego.
作者:	Dey, Tamal Krishna.
其他作者:	Wang, Yusu.
出版者:	Cambridge :Cambridge University Press,2022.
面頁冊數:	xix, 433 p. :ill., digital ;23 cm.
附註:	Title from publisher's bibliographic system (viewed on 18 Feb 2022).
標題:	Topology.
電子資源:	https://doi.org/10.1017/9781009099950
ISBN:	9781009099950$q(electronic bk.)

Computational topology for data analysis
Dey, Tamal Krishna.

Computational topology for data analysis[electronic resource] /Tamal Krishna Dey, Purdue University, Yusu Wang, University of California, San Diego. - Cambridge :Cambridge University Press,2022. - xix, 433 p. :ill., digital ;23 cm.

Title from publisher's bibliographic system (viewed on 18 Feb 2022).

Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies and applicability. Providing a computational and algorithmic foundation for techniques in TDA, this comprehensive, self-contained text introduces students and researchers in mathematics and computer science to the current state of the field. The book features a description of mathematical objects and constructs behind recent advances, the algorithms involved, computational considerations, as well as examples of topological structures or ideas that can be used in applications. It provides a thorough treatment of persistent homology together with various extensions - like zigzag persistence and multiparameter persistence - and their applications to different types of data, like point clouds, triangulations, or graph data. Other important topics covered include discrete Morse theory, the Mapper structure, optimal generating cycles, as well as recent advances in embedding TDA within machine learning frameworks.

ISBN: 9781009099950$q(electronic bk.)Subjects--Topical Terms:

185965
Topology.

LC Class. No.: QA611 / .D476 2022

Dewey Class. No.: 514.7

Computational topology for data analysis
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500 $a Title from publisher's bibliographic system (viewed on 18 Feb 2022).
520 $a Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies and applicability. Providing a computational and algorithmic foundation for techniques in TDA, this comprehensive, self-contained text introduces students and researchers in mathematics and computer science to the current state of the field. The book features a description of mathematical objects and constructs behind recent advances, the algorithms involved, computational considerations, as well as examples of topological structures or ideas that can be used in applications. It provides a thorough treatment of persistent homology together with various extensions - like zigzag persistence and multiparameter persistence - and their applications to different types of data, like point clouds, triangulations, or graph data. Other important topics covered include discrete Morse theory, the Mapper structure, optimal generating cycles, as well as recent advances in embedding TDA within machine learning frameworks.
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