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Nonnegative matrix factorization based on linear complementarity problem

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Indexed by:会议论文

Date of Publication:2013-01-01

Included Journals:EI、Scopus

Abstract:Based on the KKT conditions of the nonnegativity constrained least squares which are gotten by fixing one variant matrix in a nonnegative matrix factorization (NMF) optimization problem, a linear complementarity problem (LCP) is obtained. Then a new algorithm for NMF based on LCP is proposed and its convergence is proved. And then a practical algorithm is presented to simplify the algorithm's implementation complexity. The experiments show that the new algorithm converges faster than the classical multiplicative update algorithm and the projected gradient algorithm. ? 2013 IEEE.

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