Nonnegative Matrix Factorization via Newton Iteration for Shared-Memory Systems

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Markus Flatz Marián Vajteršic


Nonnegative Matrix Factorization (NMF) can be used to approximate a large nonnegative matrix as a product of two smaller nonnegative matrices. This paper shows in detail how an NMF algorithm based on Newton iteration can be derived utilizing the general Karush-Kuhn-Tucker (KKT) conditions for first-order optimality. This algorithm is suited for parallel execution on shared-memory systems. It was implemented and tested, delivering satisfactory speedup results.

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FLATZ, Markus; VAJTERŠIC, Marián. Nonnegative Matrix Factorization via Newton Iteration for Shared-Memory Systems. Proceedings of the Conference Algoritmy, [S.l.], p. 312-322, feb. 2016. Available at: <>. Date accessed: 22 sep. 2017.


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