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Algorithms, Initializations, and Convergence for the Nonnegative Matrix Factorization

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abstract

It is well known that good initializations can improve the speed and accuracy of the solutions of many nonnegative matrix factorization (NMF) algorithms. Many NMF algorithms are sensitive with respect to the initialization of W or H or both. This is especially true of algorithms of the alternating least squares (ALS) type, including the two new ALS algorithms that we present in this paper. We compare the results of six initialization procedures (two standard and four new) on our ALS algorithms. Lastly, we discuss the practical issue of choosing an appropriate convergence criterion.

fields

cs.LG 1

years

2026 1

verdicts

CONDITIONAL 1

representative citing papers

An Exterior Method for Nonnegative Matrix Factorization

cs.LG · 2026-05-19 · conditional · novelty 7.0

eNMF is a new exterior-point algorithm for NMF that initializes from unconstrained factorization, applies a rotation to reach the nonnegative boundary, and empirically outperforms 81 baseline combinations on real and synthetic data.

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  • An Exterior Method for Nonnegative Matrix Factorization cs.LG · 2026-05-19 · conditional · none · ref 49 · internal anchor

    eNMF is a new exterior-point algorithm for NMF that initializes from unconstrained factorization, applies a rotation to reach the nonnegative boundary, and empirically outperforms 81 baseline combinations on real and synthetic data.