Algorithms, Initializations, and Convergence for the Nonnegative Matrix Factorization
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Abstract (arXiv)
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.
Key facts. Cited by 9 papers in the map (data through 7 Oct 2026). First posted on arXiv 28 Jul 2014.
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Citing papers per year: 2021: 4; 2022: 4; 2023: 0; 2024: 1.
9 papers.
- 2022Graph-based Neural Acceleration for Nonnegative Matrix Factorizationcited by 9
- 2022Adaptive and Implicit Regularization for Matrix Completioncited by 5
- 2021Initialization for Nonnegative Matrix Factorization: a Comprehensive Reviewcited by 4
- 2022No Pattern, No Recognition: a Survey about Reproducibility and Distortion Issues of Text Clustering and Topic Modelingcited by 2
- 2021Extending the Unmixing methods to Multispectral Imagescited by 1
- 2021AIR-Net: Adaptive and Implicit Regularization Neural Network for Matrix Completioncited by 0
- 2021n-stage Latent Dirichlet Allocation: A Novel Approach for LDAcited by 0
- 2022Binary Orthogonal Non-negative Matrix Factorizationcited by 0
- 2024Rank Suggestion in Non-negative Matrix Factorization: Residual Sensitivity to Initial Conditions (RSIC)cited by 0
- 2024Rank Suggestion in Non-negative Matrix Factorization: Residual Sensitivity to Initial Conditions (RSIC)18 Oct 2024
- 2022Binary Orthogonal Non-negative Matrix Factorization19 Oct 2022
- 2022Adaptive and Implicit Regularization for Matrix Completion11 Aug 2022
- 2022No Pattern, No Recognition: a Survey about Reproducibility and Distortion Issues of Text Clustering and Topic Modeling2 Aug 2022
- 2022Graph-based Neural Acceleration for Nonnegative Matrix Factorization1 Feb 2022
- 2021Extending the Unmixing methods to Multispectral Images23 Nov 2021
- 2021n-stage Latent Dirichlet Allocation: A Novel Approach for LDA16 Oct 2021
- 2021AIR-Net: Adaptive and Implicit Regularization Neural Network for Matrix Completion12 Oct 2021
- 2021Initialization for Nonnegative Matrix Factorization: a Comprehensive Review8 Sep 2021