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Large scale optimization methods and applications in tensor optimization

Lourakis Georgios

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URIhttp://purl.tuc.gr/dl/dias/F62D3787-9DAA-4ECD-9E45-0DF3A61CB2F6-
Identifierhttps://doi.org/10.26233/heallink.tuc.70431-
Languageen-
Extent43 pagesen
TitleLarge scale optimization methods and applications in tensor optimizationen
TitleΤεχνικές βελτιστοποίησης μεγάλης κλίμακας με εφαρμογές σε tensors el
CreatorLourakis Georgiosen
CreatorΛουρακης Γεωργιοςel
Contributor [Thesis Supervisor]Liavas Athanasiosen
Contributor [Thesis Supervisor]Λιαβας Αθανασιοςel
Contributor [Committee Member]Digalakis Vasilisen
Contributor [Committee Member]Διγαλακης Βασιληςel
Contributor [Committee Member]Karystinos Georgiosen
Contributor [Committee Member]Καρυστινος Γεωργιοςel
PublisherΠολυτεχνείο Κρήτηςel
PublisherTechnical University of Creteen
Academic UnitTechnical University of Crete::School of Electrical and Computer Engineeringen
Academic UnitΠολυτεχνείο Κρήτης::Σχολή Ηλεκτρολόγων Μηχανικών και Μηχανικών Υπολογιστώνel
Content SummaryWe consider the problems of nonnegative tensor factorization and completion. Our aim is to derive efficient algorithms that are also suitable for parallel implementation. We adopt the alternating optimization framework and solve each matrix nonnegative least-squares problem via a Nesterov-type algorithm for convex and strongly convex problems. We describe parallel implementations of the algorithms and measure the attained speedup in a multi-core computing environment. It turns out that the derived algorithms are competitive candidates for the solution of very large-scale nonnegative tensor factorization and completion.en
Type of ItemΜεταπτυχιακή Διατριβήel
Type of ItemMaster Thesisen
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2017-12-14-
Date of Publication2017-
SubjectParallel algorithmsen
SubjectOptimal first-order optimization algorithmsen
SubjectNonnegative tensor factorizationen
SubjectTensorsen
Bibliographic CitationGeorgios Lourakis, "Large scale optimization methods and applications in tensor optimization", Master Thesis, School of Electrical and Computer Engineering, Technical University of Crete, Chania, Greece, 2017en
Bibliographic CitationΓεώργιος Λουράκης, "Τεχνικές βελτιστοποίησης μεγάλης κλίμακας με εφαρμογές σε tensors ", Μεταπτυχιακή Διατριβή, Σχολή Ηλεκτρολόγων Μηχανικών και Μηχανικών Υπολογιστών, Πολυτεχνείο Κρήτης, Χανιά, Ελλάς, 2017el

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