Analysis of incomplete data sets in numerical chemometrics Beese, Martina , 1997- (VerfasserIn) Neymeyr, Klaus , 1964- (AkademischeR BetreuerIn) de Juan Capdevila, Anna (AkademischeR BetreuerIn) Universität Rostock (Grad-verleihende Institution) Universität Rostock Mathematisch-Naturwissenschaftliche Fakultät (Grad-verleihende Institution) Text theses Text Hochschulschrift 2024 11.11.2024 eng electronic resourceremoteComputermedienOnline-Ressourceapplication/pdf1 Online-Ressource (99 Seiten) Illustrationen, Diagramme The 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.<eng> Open Access Urheberrechtsschutz 1.0 vorgelegt von Martina Beese GutachterInnen: Klaus Neymeyr (Universität Rostock) ; Anna de Juan Capdevila (Universitat de Barcelona) Dissertation Universität Rostock 2025 510 624.177 624 https://purl.uni-rostock.de/rosdok/id00005109 https://doi.org/10.18453/rosdok_id00005109 https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00005109-5 https://d-nb.info/1390450120/34 Analysis of incomplete data sets in numerical chemometrics--(DE-627)196093547X urn:nbn:de:gbv:28-rosdok_id00005109-5 doi: 10.18453/rosdok_id00005109 oclc: 1572717681 ppn: (DE-627)1960934996