Abstract
Multiview clustering is to more fully use the information between views to guide the division of data points, and multiview data is often accompanied by high-dimensionality. Since non-negative matrix factorization can effectively extract features while reducing dimensionality, this paper proposed a multi-view learning method based on non-negative matrix factorization. Compared with other NMF-based multiview learning methods, the proposed method has the following advantages: 1) graph regularization is added to traditional NMF to explore potential popular structures, so that the learned similarity graph contains more potential information. 2) A common graph learning strategy is designed to integrate hidden information from different views. 3) Put the NMF-based similarity graph learning and common graph learning strategies into a unified framework, and optimize the similarity graph and common graph at the same time, so that the two promote each other. Experiments on three public datasets show that the proposed method is more robust than the existing methods.
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References
Yi, Y., Wang, J., Zhou, W., et al.: Non-Negative Matrix Factorization with Locality Constrained Adaptive Graph. IEEE Trans. Circuits Syst. Video Technol. 1 (2019)
Wang, Q., Dou, Y., Liu, X., Lv, Q., Li, S.: Multi-view clustering with extreme learning machine. Neurocomputing 214, 483–494 (2016)
Zhang, C., Hu, Q., Fu, H., Zhu, P., Cao, X.: Latent multi-view subspace clustering. In: Computer Vision and Pattern Recognition, pp. 4333–4341 (2017)
Li, B., et al.: Multi-view multi-instance learning based on joint sparse representation and multi-view dictionary learning. IEEE Trans. Pattern Anal. Mach. Intell. 39, 2554–2560 (2017)
Jing, X., Wu, F., Dong, X., Shan, S., Chen, S.: Semi-supervised multi-view correlation feature learning with application to webpage classification. In: Proceedings of the Thirty-First AAAI Conference on Artificial Intelligence, pp. 1374–1381 (2017)
Wu, J., Lin, Z., Zha, H.: Essential tensor learning for multi-view spectral clustering. IEEE Trans. Image Process. 28, 5910–5922 (2019)
Zong, L., Zhang, X., Liu, X.: Multi-view clustering on unmapped data via constrained non-negative matrix factorization. Neural Netw. 108, 155–171 (2018)
Liang, N., Yang, Z., Li, Z., et al.: Multi-view clustering by non-negative matrix factorization with co-orthogonal constraints. Knowl.-Based Syst. 194, 105582 (2020)
Liang, N., Yang, Z., Li, Z., et al.: Semi-supervised multi-view clustering with graph-regularized partially shared non-negative matrix factorization. Knowl.-Based Syst. 190, 105185 (2020)
Zhou, L., Du, G., Lü, K., et al.: A network-based sparse and multi-manifold regularized multiple non-negative matrix factorization for multi-view clustering. Expert Syst. Appl. 174, 114783 (2021)
Nie, F., Wang, X., Huang, H.: Clustering and projected clustering with adaptive neighbors. In: ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 977–986 (2014)
Duchi, J.C., Shalevshwartz, S., Singer, Y., Chandra, T.D.: Efficient projections onto the l1-ball for learning in high dimensions. In: International Conference on Machine Learning, pp. 272–279 (2008)
Kang, Z., Pan, H., Hoi, S.C.H., Xu, Z.: Robust graph learning from noisy data. IEEE Trans. Cybern. 1–11 (2019)
Nie, F., Li, J., Li, X.: Parameter-free auto-weighted multiple graph learning: a framework for multiview clustering and semi-supervised classification. In: International Joint Conference on Artificial Intelligence, pp. 1881–1887 (2016)
Kang, Z., et al.: Multi-graph fusion for multi-view spectral clustering. Knowl. Based Syst. 189, 102–105 (2020)
Acknowledgment
This work was supported in part by the National Natural Science Foundation of China under Grant 62071157, Natural Science Foundation of Heilongjiang Province under Grant YQ2019F011 and Postdoctoral Foundation of Heilongjiang Province under Grant LBH-Q19112.
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Chen, J., Li, A., Li, J., Wang, Y. (2022). Multiview Learning via Non-negative Matrix Factorization for Clustering Applications. In: Shi, S., Ma, R., Lu, W. (eds) 6GN for Future Wireless Networks. 6GN 2021. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 439. Springer, Cham. https://doi.org/10.1007/978-3-031-04245-4_31
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DOI: https://doi.org/10.1007/978-3-031-04245-4_31
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