Global ETD Search
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Showing 1 to 2 of 2 for “"Zigzag Persistence"”.
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Processing biomedical images for the study of treatments related to neurodegenerative diseases
… connected components, or others related to the persistence homology and zigzag persistence theory have been used to compute the synaptic density or to recognise the neuronal structure. In addition, machine learning methods are used to determine where neurons are located in large images and to …
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Generalized Rank Invariant : Structure, Möbius Inversion, and Persistence Diagram
… Unlike the one-parameter case, multiparameter persistence modules lack a complete discrete invariant analogous to barcodes, and their classification requires tools that can capture subtle interactions across the indexing poset. In this thesis we develop and study a generalized rank invariant …