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Fast computation of low rank matrix approximations. (English) Zbl 1311.94032

Proceedings of the thirty-third annual ACM symposium on theory of computing, STOC 2001. Hersonissos, Crete, Greece, July 6–8, 2001. New York, NY: ACM Press (ISBN 1-581-13349-9). 611-618 (2001).

MSC:

94A20 Sampling theory in information and communication theory
15A18 Eigenvalues, singular values, and eigenvectors
68W40 Analysis of algorithms
Full Text: DOI

References:

[1] Yossi Azar, Amos Fiat, Anna Karlin, Frank McSherry, and Jared Saia, Data mining through spectral analysis, These Proceedings.
[2] Michael W. Berry, Zlatko Drmac, and Elizabeth R. Jessup, Matrices, vector spaces, and information retrieval, SIAM Rev. 41 (1999), no. 2, 335-362 (electronic). 10.1137/S0036144598347035 · Zbl 0924.68069
[3] Michael W. Berry, Susan T. Dumais, and Gavin W. O’Brien, Using linear algebra for intelligent information retrieval, SIAM Rev. 37 (1995), no. 4, 573-595. 10.1137/1037127 · Zbl 0842.68026
[4] Scott Deerwester, Susan T. Dumais, Thomas K. Landauer, George W. Furnas, and Richard A. Harshman, Indexing by latent semantic analysis, J. Soc. Inf. Sci. 41 (1990), no. 6, 391-407.
[5] Petros Drineas, Alan Frieze, Ravi Kannan, Santosh Vempala, and V. Vinay, Clustering in large graphs and matrices, Proceedings of the Tenth Annual ACM-SIAM Symposium on Discrete Algorithms (Baltimore, MD, 1999), 1999, pp. 291-299. · Zbl 0938.68068
[6] Alan Frieze, Ravi Kannan, and Santosh Vempala, Fast monte-carlo algorithms for finding low-rank approximations, 39th Annual Symposium on Foundations of Computer Science (Palo Alto, CA, 1998), 1998, pp. 370-378.
[7] Zoltan F.uredi and Janos Komlos, The eigenvalues of random symmetric matrices, Combinatorica 1 (1981), no. 3, 233-241. · Zbl 0494.15010
[8] Gene H. Golub and Charles F. Van Loan, Matrix computations, third ed., Johns Hopkins University Press, Baltimore, MD, 1996. · Zbl 0865.65009
[9] Ferenc Juhasz, On the spectrum of a random graph, Algebraic methods in graph theory, Vol. I, II (Szeged, 1978), North-Holland, Amsterdam, 1981, pp. 313-316. · Zbl 0475.05060
[10] Jon M. Kleinberg, Authoritative sources in a hyperlinked environment, J.ACM 46 (1999), no. 5, 604-632. 10.1145/324133.324140 · Zbl 1065.68660
[11] Michael Krivelevich and Van H. Vu, On the concentration of eigenvalues of random symmetric matrices, Tech. Report 60, Microsoft Research, 2000.
[12] Christos H. Papadimitriou, Prabhakar Raghavan, Hisao Tamaki, and Santosh Vempala, Latent semantic indexing: A probabilistic analysis, 17th Annual Symposium on Principles of Database Systems (Seattle, WA, 1998), 1998, pp. 159-168. 10.1145/275487.275505
[13] Matthew Turk and Alex Pentland, Eigenfaces for recognition, J. Cogn. Neurosci. 3 (1991), no. 1, 71-86.
[14] Eugene P. Wigner, On the distribution of the roots of certain symmetric matrices, Ann. of Math. (2) 67 (1958), 325-327. · Zbl 0085.13203
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