Essays about: "Multidimensionell persistens"

Found 2 essays containing the words Multidimensionell persistens.

  1. 1. Metrics for Multidimensional Persistence

    University essay from KTH/Matematik (Avd.)

    Author : Daniel Lundin; [2022]
    Keywords : topological data analysis; multidimensional persistence; persistence modules; metrics; noise systems; topologisk dataanalys; multidimensionell persistens; persistensmoduler; metriker; noise system;

    Abstract : A fundamental mathematical object in topological data analysis today is the persistence module. This thesis explores different metrics on multidimensional persistence modules, where spaces are parametrized along multiple dimensions. The focus is especially on metrics constructed by the use of so called noise systems, introduced by Scolamiero et al. READ MORE

  3. 2. Algorithms for Multidimensional Persistence

    University essay from KTH/Matematik (Avd.)

    Author : Oliver Gäfvert; [2016]
    Keywords : Multidimensional persistence; persistent homology; topological data analy-sis; invariants; barcode; algorithms.; Multidimensionell persistens; persistent homologi; topologisk data-analys; invarianter; streckkod; algoritmer;

    Abstract : The theory of multidimensional persistence was introduced in a paper by G. Carlsson and A. Zomorodian as an extension to persistent homology. The central object in multidimensional persistence is the persistence module, which represents the homology of a multi filtered space. READ MORE