Abstract
As real-world data are often represented by multiple sets of features in different views, it is desirable to improve clustering results with respect to ordinary single-view clustering by making use of the consensus and complementarity among different views. For this purpose, weighted multi-view clustering is proposed to combine multiple individual views into one single combined view, which is used to generate the final clustering result. In this paper we present a simple yet effective weighted multi-view clustering algorithm based on internal evaluation of clustering results. Observing that an internal evaluation criterion can be used to estimate the quality of clustering results, we propose to weight different views to maximize the clustering quality in the combined view. We firstly introduce an implementation of the Dunn index and a heuristic method to determine the scale parameter in spectral clustering. Then an adaptive weight initialization and updating method is proposed to improve the clustering results iteratively. Finally we do spectral clustering in the combined view to generate the clustering result. In experiments with several publicly available image and text datasets, our algorithm compares favorably or comparably with some other algorithms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Bickel, S., Scheffer, T.: Multi-view clustering. In: IEEE International Conference on Data Mining, pp. 19ā26 (2004)
Boutalbi, R., Labiod, L., Nadif, M.: Implicit consensus clustering from multiple graphs. Data Min. Knowl. Disc. 35(6), 2313ā2340 (2021). https://doi.org/10.1007/s10618-021-00788-y
Chen, X., Xu, X., Huang, J.Z., Ye, Y.: Tw-k-means: automated two-level variable weighting clustering algorithm for multiview data. IEEE Trans. Knowl. Data Eng. 25(4), 932ā944 (2011)
Dunn, J.C.: Well-separated clusters and optimal fuzzy partitions. J. Cybern. 4(1), 95ā104 (1974)
Huang, H.C., Chuang, Y.Y., Chen, C.S.: Affinity aggregation for spectral clustering. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 773ā780 (2012)
Huang, S., Xu, Z., Tsang, I.W., Kang, Z.: Auto-weighted multi-view co-clustering with bipartite graphs. Inf. Sci. 512, 18ā39 (2020)
Huang, Z., Zhou, J.T., Peng, X., Zhang, C., Zhu, H., Lv, J.: Multi-view spectral clustering network. In: International Joint Conference on Artificial Intelligence, pp. 2563ā2569 (2019)
Kumar, A., Rai, P., III, H.D.: Co-regularized multi-view spectral clustering. In: International Conference on Neural Information Processing Systems, pp. 1413ā1421 (2011)
Liang, Y., Huang, D., Wang, C.D.: Consistency meets inconsistency: a unified graph learning framework for multi-view clustering. In: IEEE International Conference on Data Mining, pp. 1204ā1209 (2019)
Liu, J., Cao, F., Gao, X.Z., Yu, L., Liang, J.: A cluster-weighted kernel k-means method for multi-view clustering. In: AAAI Conference on Artificial Intelligence, pp. 4860ā4867 (2020)
Luo, S., Zhang, C., Zhang, W., Cao, X.: Consistent and specific multi-view subspace clustering. In: AAAI Conference on Artificial Intelligence, pp. 3730ā3737 (2018)
Lyon, A.: Why are normal distributions normal? Britishi J. Philos. Sci. 65(3), 621ā649 (2014)
Nie, F., Tian, L., Li, X.: Multiview clustering via adaptively weighted procrustes. In: ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 2022ā2030 (2018)
Shi, J., Malik, J.: Normalized cuts and image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 22(8), 167ā172 (2000)
Wu, J., Lin, Z., Zha, H.: Essential tensor learning for multi-view spectral clustering. IEEE Trans. Image Process. 28(12), 5910ā5922 (2019)
Xia, R., Pan, Y., Du, L., Yin, J.: Robust multi-view spectral clustering via low-rank and sparse decomposition. In: AAAI Conference on Artificial Intelligence, pp. 2149ā2155 (2014)
Xia, W., Gao, Q., Wang, Q., Gao, X., Ding, C., Tao, D.: Tensorized bipartite graph learning for multi-view clustering. IEEE Trans. Pattern Anal. Mach. Intell. 1ā16 (2022). https://doi.org/10.1109/TPAMI.2022.3187976
Xie, J., Xiong, Z.Y., Dai, Q.Z., Wang, X.X., Zhang, Y.F.: A new internal index based on density core for clustering. Inf. Sci. 506, 346ā365 (2020)
Xu, P., Deng, Z., Choi, K.S., Cao, L., Wang, S.: Multi-view information-theoretic co-clustering for co-occurrence data. In: AAAI Conference on Artificial Intelligence, pp. 379ā386 (2019)
Xu, Y.M., Wang, C.D., Lai, J.H.: Weighted multi-view clustering with feature selection. Pattern Recogn. 53, 25ā35 (2016)
Yin, H., Wang, G., Hu, W., Zhang, Z.: Fine-grained multi-view clustering with robust multi-prototypes representation. Appl. Intell. 1ā19 (2022). https://doi.org/10.1007/s10489-022-03898-2
Yin, M., Gao, J., Xie, S., Guo, Y.: Multiview subspace clustering via tensorial t-product representation. IEEE Trans. Neural Netw. Learn. Syst. 30(3), 851ā864 (2019)
Zhan, K., Nie, F., Wang, J., Yang, Y.: Multiview consensus graph clustering. IEEE Trans. Image Process. 28(3), 1261ā1270 (2018)
Zhan, K., Zhang, C., Guan, J., Wang, J.: Graph learning for multiview clustering. IEEE Trans. Cybern. 48(10), 2887ā2895 (2017)
Zhou, S., et al.: Multi-view spectral clustering with optimal neighborhood laplacian matrix. In: AAAI Conference on Artificial Intelligence, pp. 6965ā6972 (2020)
Zhu, X., Zhang, S., He, W., Hu, R., Lei, C., Zhu, P.: One-step multi-view spectral clustering. IEEE Trans. Knowl. Data Eng. 31(10), 2022ā2034 (2019)
Zong, L., Zhang, X., Liu, X., Yu, H.: Weighted multi-view spectral clustering based on spectral perturbation. In: AAAI Conference on Artificial Intelligence (2018)
Acknowledgements
This work is supported in part by the National Natural Science Foundation of China under Grant No. 62176057 and No. 61972090
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
Ā© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Xu, H., Hou, J., Yuan, H. (2023). Weighted Multi-view Clustering Based on Internal Evaluation. In: Dang-Nguyen, DT., et al. MultiMedia Modeling. MMM 2023. Lecture Notes in Computer Science, vol 13834. Springer, Cham. https://doi.org/10.1007/978-3-031-27818-1_18
Download citation
DOI: https://doi.org/10.1007/978-3-031-27818-1_18
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-27817-4
Online ISBN: 978-3-031-27818-1
eBook Packages: Computer ScienceComputer Science (R0)