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Analysis of 2 x 2 x 2 Tensors

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dc.contributor.authorRovi, Ana
dc.contributor.directorBergqvist, Göran
dc.date.accessioned2024-05-20T12:18:41Z
dc.date.available2024-05-20T12:18:41Z
dc.date.issued2010-06-01
dc.description.abstractThe question about how to determine the rank of a tensor has been widely studied in the literature. However the analytical methods to compute the decomposition of tensors have not been so much developed even for low-rank tensors. In this report we present analytical methods for finding real and complex PARAFAC decompositions of 2 x 2 x 2 tensors before computing the actual rank of the tensor. These methods are also implemented in MATLAB. We also consider the question of how best lower-rank approximation gives rise to problems of degeneracy, and give some analytical explanations for these issues.en
dc.description.versionversión final
dc.identifier.urihttps://hdl.handle.net/20.500.14468/13799
dc.language.isoen
dc.publisherUniversidad Nacional de Educación a Distancia (España). Facultad de Ciencias
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.degreeMáster universitario en Matemáticas Avanzadas
dc.relation.departmentEstadística, Investigación Operativa y Cálculo Numérico
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject.keywordstensor decomposition
dc.subject.keywordsPARAFAC decomposition
dc.subject.keywordsAlternating Least Squares
dc.subject.keywordsTensor Rank
dc.subject.keywordstypical and generic rank
dc.subject.keywordsbest lower-rank approximation
dc.subject.keywordsTensor Toolbox for MATLAB
dc.subject.keywordsdegeneracy
dc.subject.keywordsuniqueness
dc.subject.keywordstensor classification
dc.titleAnalysis of 2 x 2 x 2 Tensorses
dc.typetesis de maestríaes
dc.typemaster thesisen
dspace.entity.typePublication
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