mycoreobjectrosdok_disshab_0000003413rosdok_disshab_0000003413rosdokdisshabrosdok_derivate_00002260062026-02-12T16:14:05.579Z2026-02-12T15:54:43.067ZMCRJANITOReditorFGpublished1rosdok_derivate_0000226006truetruederivate_types:fulltextVolltextfulltextwf_edit_epub wf_register_epubstate:publishedstate:publishedveröffentlichtpublishedrosdok/id000051091960934996Oau2026-02-122026-02-12T16:13:53ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.10 [SCM: "f6c168af690edb7cb65ef34e4a2bf7f8714c5d38" "v2.10" "2024-03-28T14:43:08+0100"] with mode 'DEFAULT'.DissertationHochschulschriftAnalysis of incomplete data sets in numerical chemometricsThe nonnegative matrix factorization (NMF) problem does not have a unique solution. A low-dimensional representation can be used to determine the set of solutions. However, the matrix to be factorized may be incomplete, making the common approaches to determine the set of solutions only applicable to the largest complete submatrix. This thesis shows a way to approximate the set of solutions of the NMF problem for incomplete matrices with maximum utilization of the given information. This is done using approaches from cone theory, which allow to represent the given incomplete matrix.MartinaBeese1997 -VerfasserInaut138990959X0009-0001-2849-5960KlausNeymeyr1964 -AkademischeR BetreuerIndgs1324218870000-0002-1464-2851Universität RostockAnnade Juan CapdevilaAkademischeR BetreuerIndgsUniversitat de Barcelona38329-6Universität Rostock1419 - 19761990 -Grad-verleihende Institutiondgg2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätGrad-verleihende Institutiondgghttps://purl.uni-rostock.de/rosdok/id00005109urn:nbn:de:gbv:28-rosdok_id00005109-510.18453/rosdok_id00005109510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenNutzungsrechte erteiltLizenz Metadaten: CC0frei zugänglich (Open Access)en1 Online-Ressource (99 Seiten)202411.11.2024Universität RostockRostockmonographic20252026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005109Klaus Neymeyr (Universität Rostock) ; Anna de Juan Capdevila (Universitat de Barcelona)[{"name":"Neymeyr, Klaus","affil":"Universität Rostock"},{"name":"de Juan Capdevila, Anna","affil":"Universitat de Barcelona"}]Dissertation, Universität Rostock, 2025vorgelegt von Martina BeeseNeymeyr, KlausUniversität Rostockde Juan Capdevila, AnnaUniversitat de Barcelonadoctype:epubdoctype:epubDokumenttypDocument typedoctype:epub.dissertationdoctype:epub.dissertationDissertationdoctoral thesisdiniPublType:doctoralThesis diniPublType2022:PhDThesis XMetaDissPlusThesisLevel:thesis.doctoralinfo:eu-repo/semantics/doctoralThesisdocumentnatureOfContent:ppn_105825778natureOfContent:ppn_105825778HochschulschriftdiniPublType2022:DoctoralThesisdiniPublType2022:DoctoralThesisDissertation oder HabilitationDoctoral thesisDRIVERdiniPublType2022:PhDThesisdiniPublType2022:PhDThesisDissertationPhD thesisKDSF (Pu34)XMetaDissPlusThesisLevel:thesis.doctoralXMetaDissPlusThesisLevel:thesis.doctoralDoktorarbeitdoctoral thesisSDNB:510SDNB:510510 Mathematik510 Mathematicsinstitution:unirostockinstitution:unirostockUniversität RostockUniversity of RostockUniversität RostockUniversität RostockUni.Rostockhttp://d-nb.info/gnd/38329-6institution:unirostock.mnfinstitution:unirostock.mnfMathematisch-Naturwissenschaftliche FakultätFaculty of Mathematics and Natural SciencesUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätMathematisch-Natur-<br />wissenschaftliche FakultätUni.Rostock.Fakultaet.MNFhttp://d-nb.info/gnd/2147083-2licenseinfo:worklicenseinfo:workWerkworklicenseinfo:work.rightsreservedlicenseinfo:work.rightsreservedalle Rechte vorbehaltenall rights reserved/creativecommons/r/reserved/0.9/88x31.png[DE-28]Urheberrechtsschutz 1.0$gRights Statements$uhttp://rightsstatements.org/vocab/InC/1.0/http://rightsstatements.org/vocab/InC/1.0/http://rightsstatements.org/vocab/InC/1.0/licenseinfo:depositlicenseinfo:depositVeröffentlichungsgenehmigungpermission to storelicenseinfo:deposit.rightsgrantedlicenseinfo:deposit.rightsgrantedNutzungsrechte erteiltrights grantedlicenseinfo:metadatalicenseinfo:metadataLizenzen für Metadatenlicenseinfo:metadata.cc0licenseinfo:metadata.cc0Lizenz Metadaten: CC0license metadata: CC0/creativecommons/p/zero/1.0/88x31.pnghttps://creativecommons.org/publicdomain/zero/1.0/accesscondition:openaccessaccesscondition:openaccessfrei zugänglich (Open Access)open accesshttp://purl.org/coar/access_right/c_abf2OAfreeinfo:eu-repo/semantics/openAccess[DE-28]Open Access$gControlled Vocabulary for Access Rights$uhttp://purl.org/coar/access_right/c_abf2rfc5646:enrfc5646:enEnglischEnglishengengAnalysis of incomplete data sets in numerical chemometricsAnalysis of incomplete data sets in numerical chemometricsgnd:138990959Xorcid:0009-0001-2849-5960gnd:132421887orcid:0000-0002-1464-2851gnd:38329-6gnd:2147083-2gnd:138990959Xorcid:0009-0001-2849-5960gnd:132421887orcid:0000-0002-1464-2851gnd:38329-6gnd:2147083-2rosdok_disshab_0000003413-d55162e52gnd:138990959Xorcid:0009-0001-2849-5960Martina BeeseMartina Beeserosdok_disshab_0000003413-d55162e68gnd:132421887orcid:0000-0002-1464-2851Klaus NeymeyrKlaus Neymeyrrosdok_disshab_0000003413-d55162e85Anna de Juan CapdevilaAnna de Juan Capdevilarosdok_disshab_0000003413-d55162e96gnd:38329-6Universität RostockUniversität Rostockrosdok_disshab_0000003413-d55162e110gnd:2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätMartina BeeseKlaus NeymeyrAnna de Juan CapdevilaUniversität RostockUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätMartina BeeseKlaus NeymeyrAnna de Juan CapdevilaUniversität RostockUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätMartina BeeseRostockUniversität Rostockepub.dissertationhttps://purl.uni-rostock.de/rosdok/id00005109urn:nbn:de:gbv:28-rosdok_id00005109-510.18453/rosdok_id00005109The nonnegative matrix factorization (NMF) problem does not have a unique solution. A low-dimensional representation can be used to determine the set of solutions. However, the matrix to be factorized may be incomplete, making the common approaches to determine the set of solutions only applicable to the largest complete submatrix. This thesis shows a way to approximate the set of solutions of the NMF problem for incomplete matrices with maximum utilization of the given information. This is done using approaches from cone theory, which allow to represent the given incomplete matrix.20242024Klaus Neymeyr (Universität Rostock) ; Anna de Juan Capdevila (Universitat de Barcelona)[{"name":"Neymeyr, Klaus","affil":"Universität Rostock"},{"name":"de Juan Capdevila, Anna","affil":"Universitat de Barcelona"}]Dissertation, Universität Rostock, 2025vorgelegt von Martina Beeseepub.dissertation1 Beese_Dissertation_2026.pdf 5068280 85c36fde24beaf767197d90e4a7265cf rosdok/id000051091960934996Oau2026-02-122026-02-12T16:13:53ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.10 [SCM: "f6c168af690edb7cb65ef34e4a2bf7f8714c5d38" "v2.10" "2024-03-28T14:43:08+0100"] with mode 'DEFAULT'.DissertationHochschulschriftAnalysis of incomplete data sets in numerical chemometricsThe nonnegative matrix factorization (NMF) problem does not have a unique solution. A low-dimensional representation can be used to determine the set of solutions. However, the matrix to be factorized may be incomplete, making the common approaches to determine the set of solutions only applicable to the largest complete submatrix. This thesis shows a way to approximate the set of solutions of the NMF problem for incomplete matrices with maximum utilization of the given information. This is done using approaches from cone theory, which allow to represent the given incomplete matrix.MartinaBeese1997 -VerfasserInaut138990959X0009-0001-2849-5960KlausNeymeyr1964 -AkademischeR BetreuerIndgs1324218870000-0002-1464-2851Universität RostockAnnade Juan CapdevilaAkademischeR BetreuerIndgsUniversitat de Barcelona38329-6Universität Rostock1419 - 19761990 -Grad-verleihende Institutiondgg2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätGrad-verleihende Institutiondgghttps://purl.uni-rostock.de/rosdok/id00005109urn:nbn:de:gbv:28-rosdok_id00005109-510.18453/rosdok_id00005109510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenNutzungsrechte erteiltLizenz Metadaten: CC0frei zugänglich (Open Access)en1 Online-Ressource (99 Seiten)202411.11.2024Universität RostockRostockmonographic20252026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005109Klaus Neymeyr (Universität Rostock) ; Anna de Juan Capdevila (Universitat de Barcelona)[{"name":"Neymeyr, Klaus","affil":"Universität Rostock"},{"name":"de Juan Capdevila, Anna","affil":"Universitat de Barcelona"}]Dissertation, Universität Rostock, 2025vorgelegt von Martina Beese Neymeyr, Klaus Universität Rostock de Juan Capdevila, Anna Universitat de Barcelona 2026-02-12T15:54:43.067Z 2026-02-12T16:14:05.579Z 2026-02-22T16:14:05.594Z editorFG {"identifier":"rosdok/id00005109","type":"local_id","additional":"","service":"MCRLocalID","created":"2026-02-12T15:54:44.312Z"} {"identifier":"urn:nbn:de:gbv:28-rosdok_id00005109-5","type":"dnbUrn","additional":"","service":"RosDokURN","created":"2026-02-12T15:54:44.349Z"} {"identifier":"https://purl.uni-rostock.de/rosdok/id00005109","type":"purl","additional":"","service":"RosDokPURL","created":"2026-02-12T15:54:44.361Z","registrationStarted":"2026-02-12T16:14:04.118Z"} {"identifier":"10.18453/rosdok_id00005109","type":"doi","additional":"","service":"RosDokDOI","created":"2026-02-12T15:54:44.375Z","registrationStarted":"2026-02-12T16:14:03.753Z","registered":"2026-02-12T16:14:05.574Z"} MCRJANITORfulltextfile/rosdok_disshab_0000003413/rosdok_derivate_0000226006/Beese_Dissertation_2026.pdfAnalysis of incomplete data sets in numerical chemometricsAnalysis of incomplete data sets in numerical chemometricsgnd:138990959Xorcid:0009-0001-2849-5960gnd:132421887orcid:0000-0002-1464-2851gnd:38329-6gnd:2147083-2gnd:138990959Xorcid:0009-0001-2849-5960gnd:132421887orcid:0000-0002-1464-2851gnd:38329-6gnd:2147083-2rosdok_disshab_0000003413-d55162e52gnd:138990959Xorcid:0009-0001-2849-5960Martina BeeseMartina Beeserosdok_disshab_0000003413-d55162e68gnd:132421887orcid:0000-0002-1464-2851Klaus NeymeyrKlaus Neymeyrrosdok_disshab_0000003413-d55162e85Anna de Juan CapdevilaAnna de Juan Capdevilarosdok_disshab_0000003413-d55162e96gnd:38329-6Universität RostockUniversität Rostockrosdok_disshab_0000003413-d55162e110gnd:2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätMartina BeeseKlaus NeymeyrAnna de Juan CapdevilaUniversität RostockUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätMartina BeeseKlaus NeymeyrAnna de Juan CapdevilaUniversität RostockUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätMartina BeeseRostockUniversität Rostockepub.dissertationhttps://purl.uni-rostock.de/rosdok/id00005109urn:nbn:de:gbv:28-rosdok_id00005109-510.18453/rosdok_id00005109The nonnegative matrix factorization (NMF) problem does not have a unique solution. A low-dimensional representation can be used to determine the set of solutions. However, the matrix to be factorized may be incomplete, making the common approaches to determine the set of solutions only applicable to the largest complete submatrix. This thesis shows a way to approximate the set of solutions of the NMF problem for incomplete matrices with maximum utilization of the given information. This is done using approaches from cone theory, which allow to represent the given incomplete matrix.20242024Klaus Neymeyr (Universität Rostock) ; Anna de Juan Capdevila (Universitat de Barcelona)[{"name":"Neymeyr, Klaus","affil":"Universität Rostock"},{"name":"de Juan Capdevila, Anna","affil":"Universitat de Barcelona"}]Dissertation, Universität Rostock, 2025vorgelegt von Martina Beese[xslt]Saxonrosdok/id00005109https://purl.uni-rostock.de/rosdok/id00005109196093499610.18453/rosdok_id00005109urn:nbn:de:gbv:28-rosdok_id00005109-5Martina BeeseBeese MartinaAnalysis of incomplete data sets in numerical chemometricsDissertationdoctoral thesisUniversität Rostock, 11.11.2024The nonnegative matrix factorization (NMF) problem does not have a unique solution. A low-dimensional representation can be used to determine the set of solutions. However, the matrix to be factorized may be incomplete, making the common approaches to determine the set of solutions only applicable…Martina BeeseAnalysis of incomplete data sets in numerical chemometricsUniversitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005109MartinaBeese1997 -VerfasserInaut138990959X0009-0001-2849-5960KlausNeymeyr1964 -AkademischeR BetreuerIndgs1324218870000-0002-1464-2851Universität RostockAnnade Juan CapdevilaAkademischeR BetreuerIndgsUniversitat de Barcelona38329-6Universität Rostock1419 - 19761990 -Grad-verleihende Institutiondgg2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätGrad-verleihende Institutiondgg[purl]https://purl.uni-rostock.de/rosdok/id00005109[urn]urn:nbn:de:gbv:28-rosdok_id00005109-5[doi]10.18453/rosdok_id00005109open_access20242024epoch:21th_centuryrfc5646:endoctype:epub.dissertationaccesscondition:openaccessSDNB:510institution:unirostock.mnfstate:published