Higher-order web link analysis using multilinear algebra.

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Linear algebra is a powerful and proven tool in web search. Techniques, such as the PageRank algorithm of Brin and Page and the HITS algorithm of Kleinberg, score web pages based on the principal eigenvector (or singular vector) of a particular non-negative matrix that captures the hyperlink structure of the web graph. We propose and test a new methodology that uses multilinear algebra to elicit more information from a higher-order representation of the hyperlink graph. We start by labeling the edges in our graph with the anchor text of the hyperlinks so that the associated linear algebra representation is a ... continued below

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16 p.

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Kenny, Joseph P.; Bader, Brett William (Sandia National Laboratories, Albuquerque, NM) & Kolda, Tamara Gibson July 1, 2005.

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This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 41 times . More information about this report can be viewed below.

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Description

Linear algebra is a powerful and proven tool in web search. Techniques, such as the PageRank algorithm of Brin and Page and the HITS algorithm of Kleinberg, score web pages based on the principal eigenvector (or singular vector) of a particular non-negative matrix that captures the hyperlink structure of the web graph. We propose and test a new methodology that uses multilinear algebra to elicit more information from a higher-order representation of the hyperlink graph. We start by labeling the edges in our graph with the anchor text of the hyperlinks so that the associated linear algebra representation is a sparse, three-way tensor. The first two dimensions of the tensor represent the web pages while the third dimension adds the anchor text. We then use the rank-1 factors of a multilinear PARAFAC tensor decomposition, which are akin to singular vectors of the SVD, to automatically identify topics in the collection along with the associated authoritative web pages.

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16 p.

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  • Report No.: SAND2005-4548
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/974401 | External Link
  • Office of Scientific & Technical Information Report Number: 974401
  • Archival Resource Key: ark:/67531/metadc934002

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  • July 1, 2005

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 7, 2016, 3:19 p.m.

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Kenny, Joseph P.; Bader, Brett William (Sandia National Laboratories, Albuquerque, NM) & Kolda, Tamara Gibson. Higher-order web link analysis using multilinear algebra., report, July 1, 2005; United States. (digital.library.unt.edu/ark:/67531/metadc934002/: accessed October 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.