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Dual-Graph-Regularization Constrained Nonnegative Matrix Factorization with Label Discrimination for Data Clustering

Author

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  • Jie Li

    (Quality Education Center, Yunnan Land and Resources Vocational College, Kunming 650234, China
    School of Mathematics and Statistics, Yunnan University, Kunming 650106, China)

  • Yaotang Li

    (School of Mathematics and Statistics, Yunnan University, Kunming 650106, China)

  • Chaoqian Li

    (School of Mathematics and Statistics, Yunnan University, Kunming 650106, China)

Abstract

NONNEGATIVE matrix factorization (NMF) is an effective technique for dimensionality reduction of high-dimensional data for tasks such as machine learning and data visualization. However, for practical clustering tasks, traditional NMF ignores the manifold information of both the data space and feature space, as well as the discriminative information of the data. In this paper, we propose a semisupervised NMF called dual-graph-regularization-constrained nonnegative matrix factorization with label discrimination (DCNMFLD). DCNMFLD combines dual graph regularization and prior label information as additional constraints, making full use of the intrinsic geometric and discriminative structures of the data, and can efficiently enhance the discriminative and exclusionary nature of clustering and improve the clustering performance. The evaluation of the clustering experimental results on four benchmark datasets demonstrates the effectiveness of our new algorithm.

Suggested Citation

  • Jie Li & Yaotang Li & Chaoqian Li, 2023. "Dual-Graph-Regularization Constrained Nonnegative Matrix Factorization with Label Discrimination for Data Clustering," Mathematics, MDPI, vol. 12(1), pages 1-23, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2023:i:1:p:96-:d:1308652
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    References listed on IDEAS

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    1. Daniel D. Lee & H. Sebastian Seung, 1999. "Learning the parts of objects by non-negative matrix factorization," Nature, Nature, vol. 401(6755), pages 788-791, October.
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