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Spectral Clustering Using Friendship Path Similarity

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Pattern Recognition and Image Analysis (IbPRIA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9117))

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Abstract

As an important task in machine learning and computer vision, the clustering analysis has been well studied and solved using different approaches such as k-means, Spectral Clustering, Support Vector Machine, and Maximum Margin Clustering. Some of these approaches are specific solutions to the Graph Clustering problem which needs a similarity measure between samples to create the graph. We propose a novel similarity matrix based on human being perception which introduces information of the dataset density and geodesic connections, with the interesting property of parameter independence. We have tested the novel approach in some synthetic as well as real world datasets giving a better average performance in relation to the current state of the art.

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References

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

    Article  Google Scholar 

  2. Schaeffer, S.E.: Graph clustering. Comput. Sci. Rev. 1(1), 27–64 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  3. Shi, J., Malik, J.: Normalized cuts and image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 22(8), 888–905 (2000)

    Article  Google Scholar 

  4. Ng, A.Y., Jordan, M.I., Weiss, Y.: On spectral clustering: analysis and an algorithm. Advances in Neural Information Processing Systems (NIPS), pp. 849–856. MIT Press, Cambridge (2001)

    Google Scholar 

  5. Nie, F., Wang, H., Huang, H., Ding, C.: Unsupervised and semi-supervised learning via l1-norm graph. In: IEEE Intenational Conference on Computer Vision (ICCV), pp. 2268–2273 (2011)

    Google Scholar 

  6. Kim, T.H., Lee, K.M., Lee, S.U.: Learning full pairwise affinities for spectral segmentation. In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 2101–2108. IEEE (2010)

    Google Scholar 

  7. Ulrike Von Luxburg. A tutorial on spectral clustering (2007)

    Google Scholar 

  8. Fischer, B., Buhmann, J.M.: Path-based clustering for grouping of smooth curves and texture segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 25(4), 513–518 (2003)

    Article  Google Scholar 

  9. Chang, H., Yeung, D.-Y.: Robust path-based spectral clustering. Pattern Recogn. 41(1), 191–203 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  10. Zelnik-Manor, L., Perona, P.: Self-tuning spectral clustering. Advances in Neural Information Processing Systems (NIPS), pp. 1601–1608. MIT Press, Cambridge (2004)

    Google Scholar 

  11. Zhang, X., Li, J., Hong, Y.: Local density adaptive similarity measurement for spectral clustering. Pattern Recogn. Lett. 32(2), 352–358 (2011)

    Article  Google Scholar 

  12. Strehl, A., Ghosh, J.: Cluster ensembles – a knowledge reuse framework for combining multiple partitions. J. Mach. Learn. Res. 3, 583–617 (2003)

    MATH  MathSciNet  Google Scholar 

  13. Fischer, I., Poland, J.: Data sets used. In: Amplifying the Block Matrix Structure for Spectral Clustering (2005). http://www.dr-fischer.org/pub/blockamp/index.html

  14. Frank, A., Asuncion, A.: UCI machine learning repository (2010). http://archive.ics.uci.edu/ml

  15. Keysers, D.: U.S.P.S. dataset (1989). http://www-i6.informatik.rwth-aachen.de/keysers/usps.html

  16. Nayar, S.K., Nene, S.A., Murase, H.: Columbia object image library (coil-20) (1996). http://www.cs.columbia.edu/CAVE/software/softlib/coil-20.php

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Acknowledgments

This work was partially supported by Spanish Grant TIN2013-45312-R (MINECO) and FEDER. Mario Rodriguez was sponsored by Spanish FPI Grant BES-2011-043752 and EEBB-I-14-08410.

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Correspondence to Mario Rodriguez .

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© 2015 Springer International Publishing Switzerland

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Rodriguez, M., Medrano, C., Herrero, E., Orrite, C. (2015). Spectral Clustering Using Friendship Path Similarity. In: Paredes, R., Cardoso, J., Pardo, X. (eds) Pattern Recognition and Image Analysis. IbPRIA 2015. Lecture Notes in Computer Science(), vol 9117. Springer, Cham. https://doi.org/10.1007/978-3-319-19390-8_36

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  • DOI: https://doi.org/10.1007/978-3-319-19390-8_36

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19389-2

  • Online ISBN: 978-3-319-19390-8

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