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Abstract: This paper is organized as follows. Section 2 is a review of basic concepts needed to understand LSI. Section 3 is a discussion of the low-rank ULV algorithm with particular focus on computational complexity and ability to produce good approximations to the singular subspaces of sparse rectangular matrices. Section 4 uses a constructive example to illustrate how LSI can use the ULV decomposition to represent terms and documents in the same semantic space, how a query is represented, how... (Update)
Context of citations to this paper: More
.... thus enabling searches that go beyond simple keyword matching (see, for example [14] Rank reduction techniques (SDD [40] SVD [11, 12, 47, 10]) for type clustering are applicable here as they have been shown to be especially appropriate for latent semantic indexing in...
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BibTeX entry: (Update)
M. W. Berry, S. T. Dumais, and G. W. O'Brien. Lowrank orthogonal decompositions for information retrieval applications. SIAM Review, 37(4):573--595, 1995. http://citeseer.ist.psu.edu/berry96lowrank.html More
@article{ berry96lowrank,
author = "Michael W. Berry and Ricardo D. Fierro",
title = "Low-rank orthogonal decompositions for information retrieval applications",
journal = "Numerical linear algebra with applications",
volume = "3",
number = "4",
month = "\slash",
pages = "301--327",
year = "1996",
url = "citeseer.ist.psu.edu/berry96lowrank.html" }
Citations (may not include all citations):744 Matrix Computations (context) - Golub, Loan - 1989
568 Indexing by latent semantic analysis - Deerwester, Dumais et al. - 1990 DBLP
203 Solving Least Squares Problems (context) - Lawson, Hansen - 1974
192 Using linear algebra for intelligent information retrieval - Berry, Dumais et al. - 1995 ACM
100 Personalized information delivery: An analysis of informatio.. (context) - Foltz, Dumais - 1992 DBLP
77 An Updating Algorithm for Subspace Tracking - Stewart - 1992
76 Improving the retrieval of information from external sources (context) - Dumais - 1991
40 Large scale singular value computations (context) - Berry - 1992
35 Updating the Singular Value Decomposition (context) - Bunch, Nielsen - 1978
34 Using latent semantic analysis to improve access to textual .. - Dumais, Furnas et al. - 1988 ACM
28 Information retrieval using a singular value decomposition m.. (context) - Furnas, Deerwester et al. - 1988 ACM DBLP
22 Linear Algebra and Its Applications (context) - Chan, QR - 1987
17 Rank and Null Space Calculations Using Matrix Decomposition .. (context) - Foster - 1986
16 Structure-preserving and rank-revealing qr factorizations (context) - Bischof, Hansen - 1991
14 Some Applications of the Rank Revealing QR Factorization (context) - Chan, Hansen - 1992 ACM
9 Information Management Tools for Updating an SVD-Encoded Ind.. (context) - O'Brien - 1994 ACM
7 an Algorithm for Refining a Rank-Revealing URV Decomposition.. (context) - Stewart - 1991
6 Computing Truncated Singular Value Decomposition Least Squar.. (context) - Chan, Hansen - 1990
5 Accuracy of TSVD Solutions Computed From Rank Revealing Deco.. (context) - Fierro, Hansen - 1995
3 The computational complexity of alternative updating approac.. (context) - Berry, Dumais et al. - 1995
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