The Persistence of Data: A Road Map

dc.contributor.authorPothagoni, Shrunal
dc.date.accessioned2022-05-08T15:07:59Z
dc.date.available2022-05-08T15:07:59Z
dc.date.issued2022-04-22
dc.descriptionHonors Thesis
dc.description.abstractThe purpose of data mining is to use advanced mathematical and statistical techniques to extract quantitative information from large data sets. These tools are incredibly powerful and in conjunction with machine learning algorithms allow for extremely accurate pattern prediction. However, there are various datasets that have qualitative properties that cannot be discerned using classic data mining techniques. Topological Data Analysis (TDA) is a field developed within the last two decades that uses methods in topology to extract such qualitative features. In this paper we will study how to use abstract simplicial complexes on point cloud data sets to find their most ‘optimal’ topology using computational homology.
dc.identifier.urihttps://hdl.handle.net/1920/12810
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/us/
dc.subjectPersistence theory
dc.subjectTDA
dc.subjectComputational homology
dc.titleThe Persistence of Data: A Road Map
dc.typeThesis

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