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Distributed sliding-window matrix sketching

Asteri Eirini

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URIhttp://purl.tuc.gr/dl/dias/F31ED2BA-71AD-4203-9265-DB1531C75A20-
Identifierhttps://doi.org/10.26233/heallink.tuc.66173-
Languageen-
Extent30 pagesen
TitleDistributed sliding-window matrix sketchingen
CreatorAsteri Eirinien
CreatorΑστερη Ειρηνηel
Contributor [Thesis Supervisor]Garofalakis Minosen
Contributor [Thesis Supervisor]Γαροφαλακης Μινωςel
Contributor [Committee Member]Samoladas Vasilisen
Contributor [Committee Member]Σαμολαδας Βασιληςel
Contributor [Committee Member]Deligiannakis Antoniosen
Contributor [Committee Member]Δεληγιαννακης Αντωνιοςel
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 SummaryStreaming sketching algorithms are data-processing algorithms for the summarization of an input data stream under memory and computational constraints. Their input is a long or potentially unbounded sequence of items that can be parsed a single (or a limited number of times), and the objective is to construct a concise summary of the data – a sketch – which can be later used to approximate a quantity of interest. In this work, we focus on streaming matrix sketching methods: the input is a sequence of vectors which can be regarded as the rows of a large matrix. We briefly survey matrix sketching methods for generating various kinds of sketches. We will mostly focus on the problem of approximating the principal subspace of a large matrix under the streaming model and we will describe the state-of-the-art “Frequent Directions” method of Liberty. We will further review very recent extensions of this work to monitoring the principal subspace of a stream over a sliding time window. Here, the objective is to maintain a sketch that approximates the desired quantity for the most recent segment of the input. Finally, we conclude with a novel result on the distributed construction of sketches for the sliding window model and some future directions. en
Type of ItemΔιπλωματική Εργασίαel
Type of ItemDiploma Worken
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2016-08-22-
Date of Publication2016-
SubjectData miningen
Bibliographic CitationEirini Asteri, "Distributed sliding-window matrix sketching", Diploma Work, School of Electrical and Computer Engineering, Technical University of Crete, Chania, Greece, 2016en

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