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Multiway data analysis: nonnegative tensor factorization algorithms and parallel implementations

Kostoulas Georgios

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URIhttp://purl.tuc.gr/dl/dias/5FE103D3-B104-4E18-AB2D-44D155325F17-
Identifierhttps://doi.org/10.26233/heallink.tuc.66238-
Languageen-
Extent586.9 kilobytesen
TitleMultiway data analysis: nonnegative tensor factorization algorithms and parallel implementationsen
TitleΑνάλυση πολυδιάστατων δεδομένων: αλγόριθμοι μη αρνητικής παραγοντοποίησης τανιστών και παράλληλες υλοποιήσεις el
CreatorKostoulas Georgiosen
CreatorΚωστουλας Γεωργιοςel
Contributor [Thesis Supervisor]Liavas Athanasiosen
Contributor [Thesis Supervisor]Λιαβας Αθανασιοςel
Contributor [Committee Member]Garofalakis Minosen
Contributor [Committee Member]Γαροφαλακης Μινωςel
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 problem of nonnegative tensor factorization. Our aim is to derive an efficient algorithm that is also suitable for parallel implementation. We adopt the alternating optimization (AO) framework and solve each matrix nonnegative least-squares problem via a Nesterov-type algorithm for strongly convex problems. We describe two parallel implementations of the algorithm, with and without data replication. We test the efficiency of the algorithm in extensive numerical experiments and measure the attained speedup in a parallel computing environment. It turns out that the derived algorithm is a competitive candidate for the solution of very large-scale dense nonnegative tensor factorization problems.en
Type of ItemΜεταπτυχιακή Διατριβήel
Type of ItemMaster Thesisen
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2016-08-30-
Date of Publication2016-
SubjectNonnegative tensor factorizationen
SubjectMultiway data analysisen
Bibliographic CitationGeorgios Kostoulas, "Multiway data analysis: nonnegative tensor factorization algorithms and parallel implementations", Master Thesis, School of Electrical and Computer Engineering, Technical University of Crete, Chania, Greece, 2016en
Bibliographic CitationΓεώργιος Κωστούλας, "Ανάλυση πολυδιάστατων δεδομένων: αλγόριθμοι μη αρνητικής παραγοντοποίησης τανιστών και παράλληλες υλοποιήσεις ", Μεταπτυχιακή Διατριβή, Σχολή Ηλεκτρολόγων Μηχανικών και Μηχανικών Υπολογιστών, Πολυτεχνείο Κρήτης, Χανιά, Ελλάς, 2016el

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