Blar i Master theses på emneord "TDA"
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Dowker’s Theorem by Simplicial Sets and a Category of 0-Interleavings
(Master thesis, 2019-06-21)In this thesis we look at an alternative proof of Dowker’s theorem [4] using simplical sets. We prove the strongest version of the theorem [3], which can be applied to persistence homology in the sense that every nested ... -
Equivalent Euclidean Data Complexes
(Master thesis, 2021-06-01)Euclidean data complexes are simplicial complexes that have been constructed from a point cloud in Euclidean space. Two of the most important examples of such complexes are the Čech and Alpha complex. In this thesis, we ...