skip to main content
10.5555/2892753.2892850guideproceedingsArticle/Chapter ViewAbstractPublication PagesConference Proceedingsacm-pubtype
Article

Robust multi-view spectral clustering via low-rank and sparse decomposition

Published: 27 July 2014 Publication History

Abstract

Multi-view clustering, which seeks a partition of the data in multiple views that often provide complementary information to each other, has received considerable attention in recent years. In real life clustering problems, the data in each view may have considerable noise. However, existing clustering methods blindly combine the information from multi-view data with possibly considerable noise, which often degrades their performance. In this paper, we propose a novel Markov chain method for Robust Multi-view Spectral Clustering (RMSC). Our method has a flavor of lowrank and sparse decomposition, where we firstly construct a transition probability matrix from each single view, and then use these matrices to recover a shared low-rank transition probability matrix as a crucial input to the standard Markov chain method for clustering. The optimization problem of RMSC has a low-rank constraint on the transition probability matrix, and simultaneously a probabilistic simplex constraint on each of its rows. To solve this challenging optimization problem, we propose an optimization procedure based on the Augmented Lagrangian Multiplier scheme. Experimental results on various real world datasets show that the proposed method has superior performance over several state-of-the-art methods for multi-view clustering.

References

[1]
Asuncion, A., and Newman, D. 2007. Uci machine learning repository.
[2]
Bickel, S., and Scheffer, T. 2004. Multi-view clustering. In Proceedings of the IEEE International Conference on Data Mining, volume 4, 19-26.
[3]
Cai, J.-F.; Candès, E. J.; and Shen, Z. 2010. A singular value thresholding algorithm for matrix completion. SIAM Journal on Optimization 20(4):1956-1982.
[4]
Chaudhuri, K.; Kakade, S. M.; Livescu, K.; and Sridharan, K. 2009. Multi-view clustering via canonical correlation analysis. In Proceedings of the International Conference on Machine Learning, 129-136.
[5]
Duchi, J.; Shalev-Shwartz, S.; Singer, Y.; and Chandra, T. 2008. Efficient projections onto the l1-ball for learning in high dimensions. In Proceedings of the International Conference on Machine Learning, 272-279.
[6]
Fazel, M.; Hindi, H.; and Boyd, S. P. 2001. A rank minimization heuristic with application to minimum order system approximation. In Proceedings of the American Control Conference, volume 6, 4734-4739.
[7]
Greene, D., and Cunningham, P. 2009. A matrix factorization approach for integrating multiple data views. In Machine Learning and Knowledge Discovery in Databases. Springer. 423-438.
[8]
Hubert, L., and Arabie, P. 1985. Comparing partitions. Journal of Classification2(1):193-218.
[9]
Jiang, Y.-G.; Ye, G.; Chang, S.-F.; Ellis, D.; and Loui, A. C. 2011. Consumer video understanding: A benchmark database and an evaluation of human and machine performance. In Proceedings of the International Conference on Multimedia Retrieval, 29.
[10]
Kumar, A., and Daumé, H. 2011. A co-training approach for multi-view spectral clustering. In Proceedings of the International Conference on Machine Learning, 393-400.
[11]
Kumar, A.; Rai, P.; and Daumé, H. 2011. Co-regularized multi-view spectral clustering. In Proceedings of the Advances in Neural Information Processing Systems, 1413-1421.
[12]
Lin, Z.; Chen, M.; and Ma, Y. 2010. The augmented lagrange multiplier method for exact recovery of corrupted low-rank matrices. arXiv preprint arXiv:1009.5055.
[13]
Luo, Z.-Q. 2012. On the linear convergence of the alternating direction method of multipliers. arXiv preprint arXiv:1208.3922.
[14]
Manning, C. D.; Raghavan, P.; and Schütze, H. 2008. Introduction to information retrieval, volume 1. Cambridge University Press.
[15]
Pan, Y.; Lai, H.; Liu, C.; Tang, Y.; and Yan, S. 2013a. Rank aggregation via low-rank and structured-sparse decomposition. In Proceedings of the AAAI Conference on Artificial Intelligence.
[16]
Pan, Y.; Lai, H.; Liu, C.; and Yan, S. 2013b. A divide-and-conquer method for scalable low-rank latent matrix pursuit. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 524-531.
[17]
Shi, J., and Malik, J. 2000. Normalized cuts and image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence 22(8):888-905.
[18]
Sindhwani, V.; Niyogi, P.; and Belkin, M. 2005. Beyond the point cloud: from transductive to semi-supervised learning. In Proceedings of the International Conference on Machine Learning, 824-831.
[19]
Srebro, N.; Rennie, J.; and Jaakkola, T. S. 2004. Maximum-margin matrix factorization. In Proceedings of the Advances in neural information processing systems, 1329-1336.
[20]
Ye, G.; Liu, D.; Jhuo, I.-H.; and Chang, S.-F. 2012. Robust late fusion with rank minimization. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 3021-3028.
[21]
Zhou, D., and Burges, C. J. 2007. Spectral clustering and transductive learning with multiple views. In Proceedings of the International Conference on Machine Learning, 1159-1166.
[22]
Zhou, D.; Huang, J.; and Schölkopf, B. 2005. Learning from labeled and unlabeled data on a directed graph. In Proceedings of the International Conference on Machine Learning, 1036-1043.

Cited By

View all
  • (2024)Fast unpaired multi-view clusteringProceedings of the Thirty-Third International Joint Conference on Artificial Intelligence10.24963/ijcai.2024/496(4488-4496)Online publication date: 3-Aug-2024
  • (2024)Partial multi-view clustering via self-supervised networkProceedings of the Thirty-Eighth AAAI Conference on Artificial Intelligence and Thirty-Sixth Conference on Innovative Applications of Artificial Intelligence and Fourteenth Symposium on Educational Advances in Artificial Intelligence10.1609/aaai.v38i11.29086(11988-11995)Online publication date: 20-Feb-2024
  • (2023)Learnable Graph Filter for Multi-view ClusteringProceedings of the 31st ACM International Conference on Multimedia10.1145/3581783.3611912(3089-3098)Online publication date: 26-Oct-2023
  • Show More Cited By
  1. Robust multi-view spectral clustering via low-rank and sparse decomposition

    Recommendations

    Comments

    Information & Contributors

    Information

    Published In

    cover image Guide Proceedings
    AAAI'14: Proceedings of the Twenty-Eighth AAAI Conference on Artificial Intelligence
    July 2014
    3155 pages

    Publisher

    AAAI Press

    Publication History

    Published: 27 July 2014

    Qualifiers

    • Article

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • Downloads (Last 12 months)0
    • Downloads (Last 6 weeks)0
    Reflects downloads up to 09 Jan 2025

    Other Metrics

    Citations

    Cited By

    View all

    View Options

    View options

    Media

    Figures

    Other

    Tables

    Share

    Share

    Share this Publication link

    Share on social media