Topological Data Analysis With Applications at Meripustak

Topological Data Analysis With Applications

Books from same Author: Gunnar Carlsson and Mikael Vejdemo-Johansson

Books from same Publisher: Cambridge University Press

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  • General Information  
    Author(s)Gunnar Carlsson and Mikael Vejdemo-Johansson
    PublisherCambridge University Press
    ISBN9781108838658
    Pages230
    BindingHardcover
    LanguageEnglish
    Publish YearJanuary 2021

    Description

    Cambridge University Press Topological Data Analysis With Applications by Gunnar Carlsson and Mikael Vejdemo-Johansson

    The continued and dramatic rise in the size of data sets has meant that new methods are required to model and analyze them. This timely account introduces topological data analysis (TDA), a method for modeling data by geometric objects, namely graphs and their higher-dimensional versions: simplicial complexes. The authors outline the necessary background material on topology and data philosophy for newcomers, while more complex concepts are highlighted for advanced learners. The book covers all the main TDA techniques, including persistent homology, cohomology, and Mapper. The final section focuses on the diverse applications of TDA, examining a number of case studies drawn from monitoring the progression of infectious diseases to the study of motion capture data. Mathematicians moving into data science, as well as data scientists or computer scientists seeking to understand this new area, will appreciate this self-contained resource which explains the underlying technology and how it can be used.