<p>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.</p>

Computational Topology for Data Analysis

Science & Math

Dey, Tamal Krishna

Wang, Yusu

Mathematics

Cambridge University Press

一代有一代之文化，反映着时代的活力。本书由三联生活书店、北大中文系联合推出，堪称网络文化"潮语"百科全书！ 每一天，我们的时代都在生产着新的话语，很多新的词语虽不会被词典收录，但你会不可回避地听到"萌""宅""小鲜肉""土豪"......这些网络新词如同一枚枚贝壳，凝聚着"集体智慧"，积淀着新的价值与文化。《破壁书(网络文化关键词)》用严谨的研究方式搜集整理了活跃于近年的代表性新潮词汇，涉及"二次元""女性向""同人文化""网络文学""电子游戏""社会流行文化"等六个单元，其文深入浅出，扎实好读，生动解释了词源、拓展义、用法与文化内涵，是一本"活在当下的词典"，用以打破文化与次元之壁。

Keywords in Chinese Internet Subcultures (Chinese Edition)

Shao Yanjun

Life Bookstore publishing co., LTD

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