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portada Computational Topology for Data Analysis
Type
Physical Book
Author
Publisher
Year
2022
Language
English
Pages
450
Format
Hardcover
Dimensions
22.9x15.2x2.5 cm
Weight
0.77 kg.
ISBN13
9781009098168
Categories

Computational Topology for Data Analysis

Tamal Krishna Dey (Author) · Yusu Wang (Author) · Cambridge University Press · Hardcover

Computational Topology for Data Analysis - Dey, Tamal Krishna ; Wang, Yusu

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Synopsis "Computational Topology for Data Analysis "

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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