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Cluster Merging Based on Dominant Sets

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9370))

Abstract

As an important unsupervised learning approach, clustering is widely used in pattern recognition, information retrieval and image analysis, etc. In various clustering approaches, graph based clustering has received much interest and obtain impressive success in application recently. However, existing graph based clustering algorithms usually require as input some parameters in one form or another. In this paper we study the dominant sets clustering algorithm and present a new clustering algorithm without any parameter input. We firstly use histogram equalization to transform the similarity matrices of data. This transformation is shown to make the clustering results invariant to similarity parameters effectively. Then we merge clusters based on the ratio between intra-cluster and inter-cluster similarity. Our algorithm is shown to be effective in experiments on seven datasets.

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References

  1. Ester, M., Kriegel, H.P., Sander, J., Xu, X.W.: A density-based algorithm for discovering clusters in large spatial databases with noise. In: International Conference on Knowledge Discovery and Data Mining, pp. 226–231 (1996)

    Google Scholar 

  2. Agrawal, R., Gehrke, J., Gunopulos, D., Raghavan, P.: Automatic subspace clustering of high dimensional data. In: International Conference on Knowledge Discovery and Data Mining, pp. 517–521 (2005)

    Google Scholar 

  3. Panagiotakis, C., Grinias, I., Tziritas, G.: Natural image segmentation based on tree equipartition, bayesian flooding and region merging. IEEE Trans. Image Process. 20, 2276–2287 (2011)

    Article  MathSciNet  Google Scholar 

  4. Couprie, C., Grady, L., Najman, L., Talbot, H.: Power watersheds: A new image segmentation framework extending graph cuts, random walker and optimal spanning forest. In: IEEE International Conference on Computer Vision, pp. 731–738 (2009)

    Google Scholar 

  5. Panagiotakis, C., Papadakis, H., Grinias, E., Komodakis, N., Fragopoulou, P., Tziritas, G.: Interactive image segmentation based on synthetic graph coordinates. Pattern Recogn. 46, 2940–2952 (2013)

    Article  Google Scholar 

  6. Zhao, Y., Nie, X., Duan, Y., Huang, Y., Luo, S.: A benchmark for interactive image segmentation algorithms. In: IEEE Workshop on Person-Oriented Vision, 33–38 (2011)

    Google Scholar 

  7. Shi, J., Malik, J.: Normalized cuts and image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 22, 167–172 (2000)

    Google Scholar 

  8. Brendan, J.F., Delbert, D.: Clustering by passing messages between data points. Science 315, 972–976 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  9. Pavan, M., Pelillo, M.: Dominant sets and pairwise clustering. IEEE Trans. Pattern Anal. Mach. Intell. 29, 167–172 (2007)

    Article  Google Scholar 

  10. Hou, J., Xu, E., Liu, W.X., Xia, Q., Qi, N.M.: A density based enhancement to dominant sets clustering. IET Comput. Vision 7, 354–361 (2013)

    Article  Google Scholar 

  11. Yang, X.W., Liu, H.R., Laecki, L.J.: Contour-based object detection as dominant set computation. Pattern Recogn. 45, 1927–1936 (2012)

    Article  Google Scholar 

  12. Hou, J., Pelillo, M.: A simple feature combination method based on dominant sets. Pattern Recogn. 46, 3129–3139 (2013)

    Article  Google Scholar 

  13. Hamid, R., Maddi, S., Johnson, A.Y., Bobick, A.F., Essa, I.A., Isbell, C.: A novel sequence representation for unsupervised analysis of human activities. Artif. Intell. 173, 1221–1244 (2009)

    Article  MathSciNet  Google Scholar 

  14. Bansal, N., Blum, A., Chawla, S.: Correlation clustering. Mach. Learn. 56, 89–113 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  15. Hou, J., Xu, E., Chi, L., Xia, Q., Qi, N.M.: Dset++: a robust clustering algorithm. In: International Conference on Image Processing, pp. 3795–3799 (2013)

    Google Scholar 

  16. Pavan, M., Pelillo, M.: A graph-theoretic approach to clustering and segmentation. In: IEEE International Conference on Computer Vision and Pattern Recognition, pp. 145–152 (2003)

    Google Scholar 

  17. Rota Bulò, S., Pelillo, M., Bomze, I.M.: Graph-based quadratic optimization: a fast evolutionary approach. Comput. Vis. Image Underst. 115, 984–995 (2011)

    Article  Google Scholar 

  18. Gionis, A., Mannila, H., Tsaparas, P.: Clustering aggregation. ACM Trans. Knowl. Discov. Data 1, 1–30 (2007)

    Article  Google Scholar 

  19. Zahn, C.T.: Graph-theoretical methods for detecting and describing gestalt clusters. IEEE Trans. Comput. 20, 68–86 (1971)

    Article  MATH  Google Scholar 

  20. Chang, H., Yeung, D.Y.: Robust path-based spectral clustering. Pattern Recogn. 41, 191–203 (2008)

    Article  MATH  Google Scholar 

  21. Jain, A.K., Law, M.H.C.: Data clustering: a user’s dilemma. In: Pal, S.K., Bandyopadhyay, S., Biswas, S. (eds.) PReMI 2005. LNCS, vol. 3776, pp. 1–10. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  22. Fu, L., Medico, E.: Flame, a novel fuzzy clustering method for the analysis of dna microarray data. BMC Bioinf. 8, 1–17 (2007)

    Article  Google Scholar 

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Acknowledgement

This work is supported in part by National Natural Science Foundation of China under Grant No. 61473045 and No. 41371425, and by the Program for Liaoning Innovative Research Team in University under Grant No. LT2013023.

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Correspondence to Jian Hou .

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Hou, J., Sha, C., Cui, H., Chi, L. (2015). Cluster Merging Based on Dominant Sets. In: Feragen, A., Pelillo, M., Loog, M. (eds) Similarity-Based Pattern Recognition. SIMBAD 2015. Lecture Notes in Computer Science(), vol 9370. Springer, Cham. https://doi.org/10.1007/978-3-319-24261-3_8

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  • DOI: https://doi.org/10.1007/978-3-319-24261-3_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-24260-6

  • Online ISBN: 978-3-319-24261-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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