Resolving the sign ambiguity in the singular value decomposition. Metadata

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Title

  • Main Title Resolving the sign ambiguity in the singular value decomposition.

Creator

  • Author: Bro, Rasmus
    Creator Type: Personal
    Creator Info: University of Copenhagen, Frederiksberg C, Denmark
  • Author: Acar, Evrim
    Creator Type: Personal
    Creator Info: Rensselaer Polytechnic Institute, Troy, NY
  • Author: Kolda, Tamara Gibson
    Creator Type: Personal
    Creator Info: Sandia National Laboratories, Livermore, California

Contributor

  • Sponsor: United States. Department of Energy.
    Contributor Type: Organization

Publisher

  • Name: Sandia National Laboratories
    Place of Publication: United States

Date

  • Creation: 2007-10

Language

  • English

Description

  • Content Description: Many modern data analysis methods involve computing a matrix singular value decomposition (SVD) or eigenvalue decomposition (EVD). Principal components analysis is the time-honored example, but more recent applications include latent semantic indexing, hypertext induced topic selection (HITS), clustering, classification, etc. Though the SVD and EVD are well-established and can be computed via state-of-the-art algorithms, it is not commonly mentioned that there is an intrinsic sign indeterminacy that can significantly impact the conclusions and interpretations drawn from their results. Here we provide a solution to the sign ambiguity problem and show how it leads to more sensible solutions.
  • Physical Description: 18 p.

Subject

  • Keyword: Data Analysis
  • Keyword: Eigenvalues Hypertext Systems.
  • Keyword: Principal Components Analysis.
  • Keyword: Classification
  • STI Subject Categories: 99 General And Miscellaneous//Mathematics, Computing, And Information Science
  • Keyword: Hypertext Systems.
  • Keyword: Eigenvalues.
  • Keyword: Algorithms

Collection

  • Name: Office of Scientific & Technical Information Technical Reports
    Code: OSTI

Institution

  • Name: UNT Libraries Government Documents Department
    Code: UNTGD

Resource Type

  • Report

Format

  • Text

Identifier

  • Report No.: SAND2007-6422
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/920802
  • Office of Scientific & Technical Information Report Number: 920802
  • Archival Resource Key: ark:/67531/metadc900575
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