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Subspace-Weighted Consensus Clustering for High-Dimensional Data

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Advanced Data Mining and Applications (ADMA 2020)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 12447))

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Abstract

Consensus clustering aims to combine multiple base clusters into a probably better and more robust clustering result. Despite the significant progress in recent years, the existing consensus clustering approaches are mostly designed for general-purpose scenarios, yet often lack the ability to effectively and efficiently deal with high-dimensional data. To this end, this paper proposes a subspace-weighted consensus clustering approach, which is based on two key observations in high-dimensional data. First, the cluster structures often lie in different subspaces in high-dimensional feature space. Second, the features in high-dimensional data may be of different importance and should be treated differently. Specifically, we utilize the Laplacian score to estimate the importance of different features. Then the weighted random sampling is performed repeatedly to produce a set of diverse random subspaces, in which multiple base clusters can thereby be generated. Further, the reliability of each base clustering is evaluated and weighted by considering the reliability of the features in the corresponding subspace, after which a subspace-weighted bipartite graph can be constructed and efficiently partitioned to obtain the final consensus clustering result. Experimental results on ten real-world high-dimensional datasets demonstrate the effectiveness and efficiency of the proposed approach.

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References

  1. Cai, X., Huang, D., Wang, C.D., Kwoh, C.K.: Spectral clustering by subspace randomization and graph fusion for high-dimensional data. In: Proceedings of the Pacific-Asia Conference on Knowledge Discovery and Data Mining (PAKDD), pp. 330–342 (2020)

    Google Scholar 

  2. Dueck, D.: Affinity Propagation: Clustering Data by Passing Messages. Ph.D. thesis, University of Toronto (2009)

    Google Scholar 

  3. Elhamifar, E., Vidal, R.: Sparse subspace clustering: algorithm, theory, and applications. IEEE Trans. Pattern Anal. Mach. Intell. 35(11), 2765–2781 (2013)

    Article  Google Scholar 

  4. Fern, X.Z., Brodley, C.E.: Solving cluster ensemble problems by bipartite graph partitioning. In: Proceedings of the International Conference on Machine Learning (ICML) (2004)

    Google Scholar 

  5. Franek, L., Jiang, X.: Ensemble clustering by means of clustering embedding in vector spaces. Pattern Recogn. 47(2), 833–842 (2014)

    Article  Google Scholar 

  6. Fred, A.L.N., Jain, A.K.: Combining multiple clusterings using evidence accumulation. IEEE Trans. Pattern Anal. Mach. Intell. 27(6), 835–850 (2005)

    Article  Google Scholar 

  7. Gu, Q., Zhou, J.: Subspace maximum margin clustering. In: Proceedings of the ACM Conference on Information and Knowledge Management (CIKM), pp. 1337–1346 (2009)

    Google Scholar 

  8. He, X., Deng, C., Niyogi, P.: Laplacian score for feature selection. In: Advances in Neural Information Processing Systems (2005)

    Google Scholar 

  9. Huang, D., Wang, C., Peng, H., Lai, J., Kwoh, C.: Enhanced ensemble clustering via fast propagation of cluster-wise similarities. IEEE Trans. Syst. Man. Cybern. Syst. (2018, in press). https://doi.org/10.1109/TSMC.2018.2876202

  10. Huang, D., Wang, C.D., Lai, J.H.: Locally weighted ensemble clustering. IEEE Trans. Cybern 48(5), 1460–1473 (2018)

    Article  Google Scholar 

  11. Huang, D., Wang, C.D., Wu, J.S., Lai, J.H., Kwoh, C.K.: Ultra-scalable spectral clustering and ensemble clustering. IEEE Trans. Knowl. Data Eng. 32(6), 1212–1226 (2020)

    Article  Google Scholar 

  12. Huang, D., Cai, X., Wang, C.D.: Unsupervised feature selection with multi-subspace randomization and collaboration. Knowl.-Based Syst. 182, 104856 (2019)

    Article  Google Scholar 

  13. Huang, D., Lai, J.H., Wang, C.D.: Robust ensemble clustering using probability trajectories. IEEE Trans. Knowl. Data Eng. 28(5), 1312–1326 (2016)

    Article  Google Scholar 

  14. Huang, D., Lai, J.H., Wang, C.D., Yuen, P.C.: Ensembling over-segmentations: from weak evidence to strong segmentation. Neurocomputing 207, 416–427 (2016)

    Article  Google Scholar 

  15. Huang, D., Lai, J., Wang, C.D.: Ensemble clustering using factor graph. Pattern Recogn. 50, 131–142 (2016)

    Article  Google Scholar 

  16. Jain, A.K.: Data clustering: 50 years beyond \(k\)-means. Pattern Recogn. Lett. 31(8), 651–666 (2010)

    Article  Google Scholar 

  17. Jing, L., Tian, K., Huang, J.Z.: Stratified feature sampling method for ensemble clustering of high dimensional data. Pattern Recogn. 48(11), 3688–3702 (2015)

    Article  Google Scholar 

  18. Li, Z., Wu, X.M., Chang, S.F.: Segmentation using superpixels: a bipartite graph partitioning approach. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (2012)

    Google Scholar 

  19. Liang, J., Huang, D.: Laplacian-weighted random forest for high-dimensional data classification. In: Proceedings of the IEEE Symposium Series on Computational Intelligence (SSCI) pp. 748–753 (2019)

    Google Scholar 

  20. Liang, Y., Huang, D., Wang, C.D.: Consistency meets inconsistency: a unified graph learning framework for multi-view clustering. In: Proceedings of the of IEEE International Conference on Data Mining (ICDM), pp. 1204–1209 (2019)

    Google Scholar 

  21. Liu, H., Wu, J., Liu, T., Tao, D., Fu, Y.: Spectral ensemble clustering via weighted k-means: theoretical and practical evidence. IEEE Trans. Knowl. Data Eng. 29(5), 1129–1143 (2017)

    Article  Google Scholar 

  22. de Souto, M.C., Costa, I.G., de Araujo, D.S., Ludermir, T.B., Schliep, A.: Clustering cancer gene expression data: a comparative study. BMC Bioinform. 9(1), 497 (2008)

    Article  Google Scholar 

  23. Vinh, N.X., Epps, J., Bailey, J.: Information theoretic measures for clusterings comparison: variants, properties, normalization and correction for chance. J. Mach. Learn. Res. 11(11), 2837–2854 (2010)

    MathSciNet  MATH  Google Scholar 

  24. Weiszfeld, E., Plastria, F.: On the point for which the sum of the distances to n given points is minimum. Ann. Oper. Res. 167(1), 7–41 (2009)

    Article  MathSciNet  Google Scholar 

  25. Wu, J., Liu, H., Xiong, H., Cao, J., Chen, J.: K-means-based consensus clustering: a unified view. IEEE Trans. Knowl. Data Eng. 27(1), 155–169 (2015)

    Article  Google Scholar 

  26. Xu, Y., Zhang, Z., Lu, G., Yang, J.: Approximately symmetrical face images for image preprocessing in face recognition and sparse representation based classification. Pattern Recogn. 54, 68–82 (2016)

    Article  Google Scholar 

  27. Yu, Z., et al.: Incremental semi-supervised clustering ensemble for high dimensional data clustering. IEEE Trans. Knowl. Data Eng. 28(3), 701–714 (2016)

    Article  Google Scholar 

  28. Zhang, Z., Liu, L., Shen, F., Shen, H.T., Shao, L.: Binary multi-view clustering. IEEE Trans. Pattern Anal. Mach. Intell. 41(7), 1774–1782 (2018)

    Article  Google Scholar 

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Acknowledgments

This work was supported by NSFC (61976097).

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Correspondence to Dong Huang .

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Cai, X., Huang, D. (2020). Subspace-Weighted Consensus Clustering for High-Dimensional Data. In: Yang, X., Wang, CD., Islam, M.S., Zhang, Z. (eds) Advanced Data Mining and Applications. ADMA 2020. Lecture Notes in Computer Science(), vol 12447. Springer, Cham. https://doi.org/10.1007/978-3-030-65390-3_1

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  • DOI: https://doi.org/10.1007/978-3-030-65390-3_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-65389-7

  • Online ISBN: 978-3-030-65390-3

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