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A Scalable Approach for General Correlation Clustering

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Advanced Data Mining and Applications (ADMA 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8347))

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Abstract

We focus on the problem of correlation clustering, which is to partition data points into clusters so that the repulsion within one cluster and the attraction between clusters could be as small as possible without predefining the number of clusters k. Finding the optimal solution to the problem is proven to be NP-hard, and various algorithms have been proposed to solve the problem approximately. Unfortunately, most of them are incapable of handling large-scale data. In this paper, we relax the problem by decoupling the affinity matrix and cluster indicator matrix, and propose a pseudo-EM optimization method to improve the scalability. Experimental results on synthetic data and real world problems including image segmentation and community detection show that our technique achieves state of the art performance in terms of both accuracy and scalability.

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References

  1. Bansal, N., Blum, A., Chawla, S.: Correlation clustering. In: Proceedings of the 43rd Symposium on Foundations of Computer Science, FOCS 2002, p. 238. IEEE Computer Society, Washington, DC (2002)

    Google Scholar 

  2. Bagon, S., Galun, M.: Large scale correlation clustering optimization. CoRR abs/1112.2903 (2011)

    Google Scholar 

  3. Joachims, T., Hopcroft, J.: Error bounds for correlation clustering. In: Proceedings of the 22nd International Conference on Machine Learning, ICML 2005, pp. 385–392. ACM, New York (2005)

    Google Scholar 

  4. Charikar, M., Guruswami, V., Wirth, A.: Clustering with qualitative information. In: Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science, pp. 524–533 (2003)

    Google Scholar 

  5. Demaine, E.D., Immorlica, N.: Correlation clustering with partial information. In: Arora, S., Jansen, K., Rolim, J.D.P., Sahai, A. (eds.) RANDOM 2003 and APPROX 2003. LNCS, vol. 2764, pp. 1–13. Springer, Heidelberg (2003)

    Google Scholar 

  6. Swamy, C.: Correlation clustering: maximizing agreements via semidefinite programming. In: Proceedings of the Fifteenth Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2004, pp. 526–527. Society for Industrial and Applied Mathematics, Philadelphia (2004)

    Google Scholar 

  7. Ailon, N., Charikar, M., Newman, A.: Aggregating inconsistent information: Ranking and clustering. J. ACM 55(5), 23:1–23:27 (2008)

    Article  MathSciNet  Google Scholar 

  8. Nowozin, S., Jegelka, S.: Solution stability in linear programming relaxations: graph partitioning and unsupervised learning. In: Proceedings of the 26th Annual International Conference on Machine Learning, ICML 2009, pp. 769–776. ACM, New York (2009)

    Google Scholar 

  9. Glasner, D., Vitaladevuni, S.N., Basri, R.: Contour-based joint clustering of multiple segmentations. In: Proceedings of the 2011 IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2011, pp. 2385–2392. IEEE Computer Society, Washington, DC (2011)

    Google Scholar 

  10. Vitaladevuni, S., Basri, R.: Co-clustering of image segments using convex optimization applied to em neuronal reconstruction. In: 2010 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 2203–2210 (2010)

    Google Scholar 

  11. Yurii, N., Arkadii, N.: Interior-Point Polynomial Algorithms in Convex Programming. Society for Industrial and Applied Mathematics (1994)

    Google Scholar 

  12. Boykov, Y., Veksler, O., Zabih, R.: Fast approximate energy minimization via graph cuts. IEEE Transactions on Pattern Analysis and Machine Intelligence 23(11), 1222–1239 (2001)

    Article  Google Scholar 

  13. Besag, J.: On the Statistical Analysis of Dirty Pictures. Journal of the Royal Statistical Society, Series B (Methodological) 48(3), 259–302 (1986)

    MATH  MathSciNet  Google Scholar 

  14. Gionis, A., Mannila, H., Tsaparas, P.: Clustering aggregation. ACM Trans. Knowl. Discov. Data 1(1) (March 2007)

    Google Scholar 

  15. Sturm, J.: Using SeDuMi 1.02, a Matlab toolbox for optimization over symmetric cones. Optimization Methods and Software 11-12 (1999)

    Google Scholar 

  16. Arbelaez, P., Maire, M., Fowlkes, C., Malik, J.: Contour detection and hierarchical image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence 33(5), 898–916 (2011)

    Article  Google Scholar 

  17. Shi, J., Malik, J.: Normalized cuts and image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence 22(8), 888–905 (2000)

    Article  Google Scholar 

  18. Liben-Nowell, D., Kleinberg, J.: The link prediction problem for social networks. In: Proceedings of the Twelfth International Conference on Information and Knowledge Management, CIKM 2003, pp. 556–559. ACM, New York (2003)

    Chapter  Google Scholar 

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Wang, Y., Xu, L., Chen, Y., Wang, H. (2013). A Scalable Approach for General Correlation Clustering. In: Motoda, H., Wu, Z., Cao, L., Zaiane, O., Yao, M., Wang, W. (eds) Advanced Data Mining and Applications. ADMA 2013. Lecture Notes in Computer Science(), vol 8347. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53917-6_2

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  • DOI: https://doi.org/10.1007/978-3-642-53917-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53916-9

  • Online ISBN: 978-3-642-53917-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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