Vis enkel innførsel

dc.contributor.advisorBaas, Nils A.nb_NO
dc.contributor.authorStovner, Roar Bakkennb_NO
dc.date.accessioned2014-12-19T13:59:59Z
dc.date.available2014-12-19T13:59:59Z
dc.date.created2012-11-10nb_NO
dc.date.issued2012nb_NO
dc.identifier566987nb_NO
dc.identifierntnudaim:8221nb_NO
dc.identifier.urihttp://hdl.handle.net/11250/259088
dc.description.abstractMapper is an algorithm for describing high-dimensional datasets in terms of simple geometric objects. We give a new definition of Mapper, with which we are able to prove that Mapper is a functor and that Mapper is a homotopy equivalence for certain "nice" input data. To establish these results we describe the statistical theory of functorial clustering and the topological machinery of homotopy colimits. At the end of the document we show, by means of numerical experiments, that the functoriality of Mapper is useful in applications.nb_NO
dc.languageengnb_NO
dc.publisherInstitutt for matematiske fagnb_NO
dc.subjectntnudaim:8221no_NO
dc.subjectMTFYMA fysikk og matematikkno_NO
dc.subjectIndustriell matematikkno_NO
dc.titleOn the Mapper Algorithm: A study of a new topological method for data analysisnb_NO
dc.typeMaster thesisnb_NO
dc.source.pagenumber110nb_NO
dc.contributor.departmentNorges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fagnb_NO


Tilhørende fil(er)

Thumbnail
Thumbnail

Denne innførselen finnes i følgende samling(er)

Vis enkel innførsel