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Alternative gradient algorithms with applications to nonnegative matrix factorizations

delete2010-05-01
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Lu Lin *
DOI:10.1016/j.amc.2009.12.028delete
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摘要

摘要

En 中文
Three nonnegative matrix factorization (NMF) algorithms are discussed and employed to three real-world applications. Based on the alternative gradient algorithm with the iteration steps being determined columnwisely without projection, and columnwisely and elementwisely with projections, three algorithms are developed respectively. Also, the computational costs and the convergence properties of the new algorithms are given. The numerical examples show the advantage of our algorithms over the multiplicative update algorithm proposed by Lee and Seung [11]. (C) 2009 Elsevier Inc. All rights reserved.
Keyword:
Nonnegative matrix factorization
Gradient-based algorithm
Alternating direction iteration
Projected iteration
Frobenius-norm minimization
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期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

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