Subject: PERSISTENT HOMOLOGY, TOPOLOGICAL DATA ANALYSIS, ALGEBRAIC TOPOLOGY, DATA SCIENCE, COMPUTATIONAL TOPOLOGY
Year: 2019
Type: Journal Article
Title: APPLICATION OF PERSISTENT HOMOLOGY ON BIO-MEDICAL DATA – A CASE STUDY
Author: Dimitrievska Ristovska, Vesna
Author: Sekuloski, Petar
Abstract: In this paper we introduce, analyze and apply persistent homology, one of the main algorithms of TDA, on some real data sets from the bio-medical field. Topological data analysis (TDA) is a field which is a synergy between mathematics, data science and computer science. The main goal of TDA is studying the shape of data using topological techniques. TDA proposes new algorithms that deal with these problems based on tools or concepts from algebraic topology and pure mathematics. We analyze the results and give a topological characterization of the dataset and propose to use them in future work.
Publisher: Scientific Technical Union of Mechanical Engineering" Industry 4.0"
Relation: Mathematical Modeling
Identifier: oai:repository.ukim.mk:20.500.12188/17256
Identifier: http://hdl.handle.net/20.500.12188/17256
