Zigzag Modülleriyle Israrcı Homolojinin Genişletilmesi
Year: 2025
Type: dissertation
Abstract: Zigzag persistence is a variant of the ordinary persistence in topological data analysis, which can be used to extract topological features from datasets. It was introduced by Carlsson and Silva [1] as a generalization of the original persistence algorithm for sequence of topological spaces, that are not related by only an increasing filtration, but also have inclusions and exclusions. The aim of this thesis is to present a survey of zigzag persistence by presenting its mathematical foundations and elaborating the key tools and algorithms used for its computation.
Author: Erçoğul, Tunahan
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7110585525