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Computational Topology for Data Analysis - Hardcover

 
9781009098168: Computational Topology for Data Analysis
  • PublisherCambridge University Press
  • Publication date2022
  • ISBN 10 1009098160
  • ISBN 13 9781009098168
  • BindingHardcover
  • LanguageEnglish
  • Number of pages452

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TAMAL KRISHNA DEY , YUSU WANG
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ISBN 10: 1009098160 ISBN 13: 9781009098168
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Dey, Tamal Krishna; Wang, Yusu
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Dey, Tamal Krishna; Wang, Yusu
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Dey, Tamal Krishna; Wang, Yusu
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Tamal Krishna Dey
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Hardcover. Condition: new. Hardcover. 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. Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data in applied domains. This comprehensive text covers the current state of the field for students in mathematics and computer science, providing a computational and algorithmic foundation for techniques in TDA. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781009098168

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Hardcover. Condition: Brand New. 450 pages. 9.21x6.10x1.18 inches. In Stock. This item is printed on demand. Seller Inventory # __1009098160

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