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    Computation and Uses of the Semidiscrete Matrix Decomposition

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    Date
    1999-04-06
    Author
    Kolda, Tamara G.
    O'Leary, Dianne P.
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    Abstract
    We derive algorithms for computing a semidiscrete approximation to a matrix in the Frobenius and weighted norms. The approximation is formed as a weighted sum of outer products of vectors whose elements are plus or minus $1$ or $0$, so the storage required by the approximation is quite small. We also present a related algorithm for approximation of a tensor. Applications of the algorithms are presented to data compression, filtering, and information retrieval; and software is provided in C and in Matlab. (Also cross-referenced as UMIACS-TR-99-22)
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    http://hdl.handle.net/1903/1004
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