On matrices with low-rank-plus-shift structure: Partial SVD and latent semantic indexing

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Description

The authors present a detailed analysis of matrices satisfying the so-called low-rank-plus-shift property in connection with the computation of their partial singular value decomposition. The application they have in mind is Latent Semantic Indexing for information retrieval where the term-document matrices generated from a text corpus approximately satisfy this property. The analysis is motivated by developing more efficient methods for computing and updating partial SVD of large term-document matrices and gaining deeper understanding of the behavior of the methods in the presence of noise.

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17 p.

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Zha, H. & Zhang, Z. August 1, 1998.

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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 26 times . More information about this report can be viewed below.

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Description

The authors present a detailed analysis of matrices satisfying the so-called low-rank-plus-shift property in connection with the computation of their partial singular value decomposition. The application they have in mind is Latent Semantic Indexing for information retrieval where the term-document matrices generated from a text corpus approximately satisfy this property. The analysis is motivated by developing more efficient methods for computing and updating partial SVD of large term-document matrices and gaining deeper understanding of the behavior of the methods in the presence of noise.

Physical Description

17 p.

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OSTI as DE98059390

Medium: P; Size: 17 p.

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  • Other Information: PBD: Aug 1998

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  • Other: DE98059390
  • Report No.: LBNL--42279
  • Grant Number: AC03-76SF00098
  • DOI: 10.2172/663268 | External Link
  • Office of Scientific & Technical Information Report Number: 663268
  • Archival Resource Key: ark:/67531/metadc712111

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  • August 1, 1998

Added to The UNT Digital Library

  • Sept. 12, 2015, 6:31 a.m.

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  • April 7, 2017, 3:54 p.m.

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Zha, H. & Zhang, Z. On matrices with low-rank-plus-shift structure: Partial SVD and latent semantic indexing, report, August 1, 1998; United States. (digital.library.unt.edu/ark:/67531/metadc712111/: accessed September 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.