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  1. 1. Algebraic Simplifications of Metric Information

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Klas Erninger; [2020]
    Nyckelord :Topological data analysis; algebraic topology; Topologisk data analys; algebraisk topologi;

    Sammanfattning : This thesis is about how to interpret metric data with topological tools, such as homology. We show how to go from a metric space to a topological space via Vietoris-Rips complexes. We use the usual approach to Topological Data Analysis (TDA), and transform our metric space into tame parametrised vector spaces. LÄS MER