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Subject: TOPOLOGICAL DATA ANALYSIS, PERSISTENT HOMOLOGY, MACHINE LEARNING, COMPUTATIONAL TOPOLOGY


Year: 2022


Type: Journal Article



Title: Classification of Digital Images using topological signatures – A Case Study


Author: Petar Sekuloski
Author: Dimitrievska Ristovska, Vesna



Abstract: Topological Data Analysis (TDA) is relatively new filed of Applied Mathematics that emerged rapidly last years. The main tool of Topological Data Analysis is Persistent Homology. Persistent Homology provides some topological characteristics of the datasets. In this paper we will discuss classification of digital images using their topological signatures computed with Persistent Homology. We will experiment on the Fashion-MNIST dataset. Using Topological Data Analysis, the classification was improved.


Publisher: Scientific Technical Union of Mechanical Engineering" Industry 4.0"


Relation: International Scientific Journal "Mathematical Modeling"



Identifier: oai:repository.ukim.mk:20.500.12188/26055
Identifier: https://stumejournals.com/journals/mm/2022/4/106
Identifier: 2535-0986
Identifier: http://hdl.handle.net/20.500.12188/26055
Identifier: 2603-2929



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Classification of Digital Images using topological signatures – A Case Study202286